1 Introduction

In order to support organisations in managing complex and messy problems, facilitated modelling approaches have been developed since the 1970s (Eden and Ackermann 2006; Rouwette et al. 2011a, b). The term facilitated modelling is used to characterise approaches where a client group jointly builds models with the assistance of a group facilitator (Franco and Montibeller 2010; Franco and Rouwette 2011; Rouwette 2011; Tavella and Franco 2015). These models, built during the process, are used as “transitional objects” that facilitate the shifting of positions and the negotiation that can lead to consensus (Ackermann and Eden 2011, p. 24). Facilitated modelling approaches aim to help managers and stakeholders to structure a complex and messy problem situation. These are challenging aims because it is not only required to open up participants’ minds for different and competing perspectives, but also, to move toward alignment on what is wise to do or to refrain from. These points are of crucial significance during the process when managers and stakeholders come together to “manage the complexity” (cf. Eden and Ackermann 2006, p. 767).

Facilitated modelling approaches are particularly applicable to strategic analysis processes—processes of identification of strategies for a business (Fleisher and Bensoussan 2007). Typically, strategic analysis takes place under high uncertainty; managers use diverse definitions and have to deal with complex systems (Eden and Ackermann 2001; Rouwette 2011; Warren 2009). By supporting the communication during the process and helping participants to reflect on and change their previous assumptions, facilitated modelling supports the negotiation of successful solutions. For reaching successful solutions, the alignment of managers’ goals is necessary as well as the negotiation of agreements between participants about what the problem is and possible paths of action (Akkermans and Vennix 1997; Black and Andersen 2012). During the problem solving process, facilitated modelling approaches represent these goals and agreements visually in a model: By using a model as visual representation of the group discussion, and through the mediation of an independent facilitator, facilitated modelling enhances confidence in the strategies identified and, therefore, fosters participants’ commitment with implementation (Franco and Montibeller 2010; Rouwette 2011). Facilitated modelling has shown potential to improve the quality of the outcomes of the analysis during a strategic analysis process by reshaping participants’ preconceived ideas (cognitive change) and enhancing the exchange of knowledge and information between them (Akkermans and Vennix 1997; Rouwette 2011; Vennix 1996). Furthermore, facilitated modelling has demonstrated its potential to increase the political feasibility of the agreed strategies along with consensus and commitment with these strategies (e.g. Ackermann and Eden 2010a; Eden and Ackermann 2013; Rouwette 2011).

A number of facilitated modelling approaches have been developed. Franco and Montibeller (2010) identified at least three big divisions: facilitated problem structuring (e.g., strategic options development and analysis), facilitated system dynamics (e.g., group model building) and facilitated decision analysis. Moreover, a group of multimethods has been identified, combining at least two facilitated modelling approaches with the aim, for instance, to strengthen specific elements of the process (Howick and Ackermann 2011). Different terms have been used to refer to these methods. For example, Howick and Ackermann (2011) referred to them as mixed methods, and Mingers and Brocklesby (1997) referred to them as multimethodologies. In this paper, we use the term multimethod proposed by Ackermann et al. (2011) for the particular combination of facilitated modelling approaches that we investigated.

Facilitated modelling approaches have important theoretical and practical differences among them. Furthermore, it is not clear which elements of their process and structure contribute to successful outcomes (Bérad 2010; Franco and Montibeller 2010; Rouwette 2011). This lack of transparency is a problem for spreading facilitated modelling practices and replicating the results obtained by expert facilitators (Rouwette 2011). In addition, the current body of knowledge about the outcomes of facilitated modelling approaches and benefits of multimethods is based on single cases examined in different contexts, and evaluated with different criteria. These conditions complicate the comparison between approaches and the extrapolation of successful experiences to different problems and contexts. For this reason, the present research supports the claim of authors like Tavella and Franco (2015), McCardle-Keurentjes et al. (2008), Midgley et al. (2013) and Rouwette et al. (2011a) for more systematic research and the use of an experimental design to compare and evaluate the contributions of facilitated modelling approaches to strategic analysis processes.

Our study builds on the comparison of the process and contributions of group model building (GMB) and strategic options development and analysis (SODA) by Rouwette et al. (2011a). In their research, the differences in the process and the outcomes between both approaches were clarified on a theoretical and practical level. Interestingly, the approaches were contrasted for one and the same real-life problem situation. Yet, the difficulty to conduct research in a comparable research situation can be noticed. For instance, the participants were not the problem owners themselves. Some participants in the SODA meeting were also present in the GMB workshop and thus, the data are not independent. Furthermore, the number of meetings in the study differed (i.e., four GMB meetings, whereas three meetings—actually two—were used for SODA) as well as the experience of the facilitator (i.e., a high-experienced facilitator in GMB meetings vs. two low-experienced facilitators in SODA meetings). Our study tried to overcome some of the limitations described by Rouwette et al. (2011a) by splitting two management teams confronted with a real-life problem in their organisation into two comparable groups of problem-owners. In each of the two organisations, during two workshops one team used GMB and the other used the multimethod approach, both supported by the same facilitator (the first author). Note that the context was similar for the teams of one organisation. The strategic conversations taking place during the process and their final outcomes were analysed with the purpose of exploring the research question: “What are the differences in the process and the outcomes between the multimethod approach and GMB?”

The remainder of this paper proceeds as follows. Section 2 provides a concise theoretical background of the approaches examined in this study and the main findings of previous studies. Then in Sect. 3, we introduce the particular framework used in our research. We explain the variables measured and the instruments used. Section 4 presents the main findings and discusses their relevance, as well as theoretical and practical implications. Finally, based on this experience, we draw conclusions, and consider the limitations of our study and the future work we envision in this topic.

2 Facilitated Modelling Approaches

Facilitated modelling approaches, like other “soft” operational research (OR) approaches, assume that problems are socially constructed and that the inclusion of different perspectives is needed to identify and implement successful solutions (Franco and Montibeller 2010). Therefore, facilitated modelling approaches recognise that the way in which strategic issues are defined is crucial to determine the nature of strategic agendas to be addressed. The elements of negotiation should be taken into consideration in strategy formulation in order to increase their probabilities of being successful (Ackermann and Eden 2011). Typically, the tangible outcomes of facilitated modelling workshops include one or a set of models (e.g., system dynamics simulation models, stock and flow diagrams or a cognitive map depicting means and ends relations), figures, theories and lists of plausible solutions. Beside these tangible outcomes, Franco and Montibeller (2010) identified the inclusion of different perspectives in the discussion, the creation of shared agreements, and the ownership of the problem definition and solutions as intangible outcomes commonly associated with different facilitated modelling approaches.

As said, within the wide family of facilitated modelling approaches this research focused on two specific ones, GMB (cf. Andersen et al. 2007b; Vennix 1995, 1996), and SODA in the multimethod approach (cf. Ackermann and Eden 2005, 2010a). GMB is grounded in the system dynamics methodology, originally presented by Forrester (1961). System dynamics is based on the assumption that the behaviour of complex systems arises from their causal structure (Meadows 1976). This structure is a representation of the interconnections between the strategic resources of an organisation (Warren 2005). By analysing the structure and its feedback mechanisms it is possible to understand system’s behaviour. Computer simulation models serve to explore the effects of possible strategies. GMB constitutes “a bundle of techniques used to construct system dynamics models working directly with client groups on key strategic decisions” (Andersen et al. 2007b, p. 691). Depending on the nature of the problem, GMB can make use only of diagrams (qualitative GMB) or can combine them with computer simulations (quantitative GMB) (Vennix 1996). As will be clarified in more detail in the following section, we used GMB in both the qualitative (i.e., in the first workshop) and the quantitative mode (i.e., in the second workshop). SODA is a facilitated modelling approach that builds a “graphic representation of a problematic situation” to explore options in complex systems (Ackermann and Eden 2010a, p. 135). Ackerman and Eden noted that SODA is used to explore complex problematic situations before making a decision. To explore these situations, SODA models build graphic representations known as cognitive maps. By using these maps, SODA allows participants to explore the problems with a holistic perspective and to arrive at a negotiated agreement about how to act (Ackermann and Eden 2010a). Note, in the multimethod approach, we used SODA in the first workshop, to be followed by quantitative GMB in the second workshop.

The results of Rouwette et al. (2011a) indicated that the main theoretical difference between GMB and SODA lies in their assumed understanding of the world and, hence, the perspective they take to analyse the problem. On one hand, SODA is clearly subjective (Ackermann and Eden 2011; Eden 1988) and aims to achieve an agreement on participants’ perceptions and priorities by capturing each individual’s interpretation of the problem (Rouwette et al. 2011a). On the other hand, GMB has a dualistic perspective (subjective and objective) (Andersen et al. 2007b) and aims to incorporate not only individuals’ perspectives, but also to replicate the real world with some accuracy (Richardson and Andersen 2010; Rouwette 2011). In this sense, GMB does not only aim to build a common definition of the problem, but also to confront this agreed upon definition with data observed in the real world. This difference determines the focus of the model: While SODA concentrates on the social world and the individual perceptions, GMB aims to integrate these perceptions with the real world (Rouwette et al. 2011a). The theoretical difference between both approaches is transferred into practical differences in the process. The main practical differences found by Rouwette et al. (2011a) are:

  1. (a)

    Starting question GMB starts by identifying the reference behaviour mode (past observed behaviour) and asks for explanations. SODA on the other hand starts the process by asking participants about their perspectives regarding current and future issues;

  2. (b)

    Model analysis While GMB focuses its attention on identifying the feedback loop structures responsible for the observed behaviour (reference mode), SODA focuses on assessment of actions and goals (p. 797);

  3. (c)

    Option analysis In SODA the actions are evaluated from a static perspective; changing a part of the model will influence the intermediate ends and therefore the final goals (p. 798). GMB on the other hand, assesses the options from a dynamic perspective; building first the structure and then identifying steering points and plausible behaviours.

Due to these differences, the authors pointed out that a combination of the two approaches could be beneficial for both methods since GMB can supplement SODA by providing a framework for the quantification of variables and the identification of feedback loops and leverage points. And, in a similar way, SODA can supplement GMB by providing a framework to identify the actions that can “steer the future behaviour in the preferred direction” (Rouwette et al. 2011a, p. 800).

Many attempts have been made so far to incorporate SODA into the GMB process (e.g., Ackermann and Eden 1997; Ackermann et al. 2010, 2005; Andersen et al. 2007a; Howick et al. 2006, 2008). Therefore, it is surprising that little work has been done to measure the benefits of using multimethod approaches and to evaluate possible losses that can result from such combinations (Howick and Ackermann 2011; Mingers and Brocklesby 1997). Exploring the implications of multimethod approaches is important, in particular with regard to their effects on the final commitment of participants. Particularly, the translation of tangible outcomes from one method to the other (e.g., the means and ends of a SODA model into causal relations in a System Dynamics diagram) needs to be understandable for participants. Note that authors like Luna Reyes et al. (2006) and Richardson and Andersen (2010) pointed to the importance of diagram consistency in order to create ownership of the model and the solutions explored from it. Similarly, Videira et al. (2012) underscored the importance of participants’ involvement in the final model construction for creating commitment with the strategies identified. Both features, that is, the high level of involvement in model construction and diagram consistency can be compromised when multimethod approaches are designed.

So far, case study research has been the favourite research strategy used to evaluate the benefits of mixed methods (Howick and Ackermann 2011) and facilitated modelling approaches in general (Midgley et al. 2013). Typically, the studies have offered a description of particular facilitated modelling approaches, and the reflections about the perceived impact of this type of decision support have been based on the perspective of the facilitator (Tavella and Franco 2015). Even though researchers in the field are highly experienced and their perspectives are valuable for the evaluation of benefits of the approaches, it is problematic that they use different criteria (Midgley et al. 2013). Due to these differences, if the evaluations are only based on facilitator(s)’ personal opinion(s), “they may miss evidence that does not fit their current thinking about what is important” (Midgley et al. 2013, p 144). As an illustration of the differences in the research processes and tools of previous case studies, some examples of studies concerning specifically the two facilitated modelling approaches discussed in this paper (SODA and GMB) including combinations of the two, are summarised in Table 1.

Table 1 Previous case study-based research in SODA, GMB or in combination

Even though the list of examples presented in Table 1 is not exhaustive, it clearly shows the diverse perspectives, instruments and variables used in the evaluation of facilitated modelling approaches. Consequently, each experience, reflected in the variables measured, is the result of different conditions, problem(s), procedure(s) and, most of the time, different criteria to evaluate them (Midgley et al. 2013). Under those circumstances, comparing and aggregating data across cases becomes a complex task. Therefore, it is not possible to conclude that the (combination of) approach(es) is the cause of the outcomes observed in a case, or that these outcomes are the result of other conditions, such as, the facilitator’s personal skills, team dynamics, or the nature of the problem (Howick and Ackermann 2011). Since the degree of participants’ stake in the strategic issue has important implications for the level of conflict between participants, “one would ideally like to use approaches in exactly the same problem with exactly the same client group” (Rouwette et al. 2011a, p. 778). However, as Rouwette et al. (2011a, p. 788) pointed out, “It is unlikely (...) that a management team confronted with a real life problem would voluntarily split up in two or more (comparable) groups which then each use a specific method to work on the problem”. It is probably for this reason that we could not find any previous research that compares groups in the same client organisation working on the same issue using different approaches.

Within this context, in the present research, we opted for an experimental research design, because that would allow a comparison based on findings collected in a controlled setting. Moreover, we decided to conduct the research with real clients, working on their organisation’s problem. This design aims to contribute to the current body of knowledge about the gains and drawbacks of combining two single facilitated modelling approaches into a multimethod approach by comparing under controlled settings the multimethod proposed by Ackermann et al. (2010) that combines SODA with system dynamics computer simulations (i.e., using SODA first, and then GMB restricted to the quantitative mode) with GMB (i.e., first in the qualitative mode, and then in the quantitative mode). This comparison was done in terms of (a) the strategic analysis process by assessing the type and content of the contributions made in the group conversation during the workshops and (b) intangible process outcomes, that is, cognitive change, consensus and commitment.

By making a comparison with real clients, working on their organisation’s problem, our research design provides direct means to quantify and compare what happened during the different processes. Hence, we aim to address the limitations and gaps described above for case study-based research, quantifying in comparable settings the process and outcomes of a single and a multimethod approach. This is expected to bring a novel contribution to the field, while allowing to draw hypotheses that may be further validated in future work replicating the proposed research design. Several hypotheses and suggestions for further research that we identified are described in the last section.

3 Methods and Experiment Design

3.1 Design and Participants

To explore the possible benefits and drawbacks of the combination of facilitating modelling approaches to the negotiation of strategies, the present research conducted an exploratory field experiment in two organisations in Lisbon, Portugal. Experiment is hereby understood as “an inquiry for which the investigator plans, builds, or otherwise controls the conditions under which phenomena are observed and measured” (Webster and Sell 2007, p. 2). Under experimental conditions it is possible to select participants to create comparable groups and to control which approach and which scripts are used to support the negotiation process, allowing relatively objective comparisons.

However, it is important to be aware that some limitations are associated with experimental research, for instance, the trade-off between realism and controllable and comparable situations (Franco and Rouwette 2011). While seeking control, researchers can easily turn experiments into situations too artificial to have any meaning in real-life. This point is particularly important when evaluating facilitated modelling approaches because the validity of the results highly depends on the level of engagement the participants have with the issue they are working on (Midgley et al. 2013). For this reason, the present research used participants’ real problem during the experiment with the aim of maintaining as much realism as possible.

The field experiment was conducted in the spring of 2014 with managers of two Portuguese organisations that agreed to use the experimental framework proposed to analyse a strategic issue they were facing at the time the experiment was conducted. Overcoming the challenge of having real customers discussing their problem simultaneously using two approaches was possible thanks to the high interest of the participating organisations’ top managers in learning more about facilitated modelling methods. Their engagement and approval for conducting the experiment was obtained following an invitation and presentation of the research plan by the first author, with whom they had collaborated in the past.

Of the two organisations, organisation 1 is a small private firm in the hospitality business and the other, organisation 2 is a medium-sized governmental office responsible for the management of 60 % of the domestic waste generated in Portugal. In each organisation, two groups analysed one and the same strategic issue of their organisation during two different workshops. To perform this analysis, one group used GMB and the other one used the multimethod approach developed by Ackermann et al. (2010). In this study, GMB combined the use of a system dynamics diagram (used in the qualitative mode) to define the structure of the problem with system dynamics computer simulations (used in the quantitative mode) in order to explore unintended consequences of the solutions proposed. Similarly, the multimethod proposed combined SODA (constructing a cognitive map) to structure the problem and system dynamics computer simulations to identify pressures and policies (Ackermann et al. 2010). Figure 1 shows the roadmap followed during the experiment by the two groups in both organisations.

Fig. 1
figure 1

General road map of the experiment

In total, eighteen participants were engaged in the experiment. During the first stage (see Fig. 1, Experiment Set up), the first author and the gatekeeper of each organisation—a member of the organisation “who carries internal responsibility for the project” (Richardson and Andersen 1995, p. 115)—invited a group of potential participants to participate in the project. The selection of these potential participants was based on their knowledge, degree of involvement in the strategic issue to discuss and the time they had available to participate during the entire process. From the list of managers who accepted the invitation (\(n = 27\)), the first author and the gatekeeper selected a team of eight and ten candidates in organisation 1 and 2 to participate in the experiment, and split them in two comparable groups based on their age, gender and professional background. The demographic characteristics of these groups are presented in Table 2.

Table 2 Group demographic characteristics

Additionally, important characteristics common to the participants were that they (a) did not have previous experience working with facilitated modelling approaches, (b) had adequate English language skills to understand and participate in the workshops, and (c) were not aware which specific strategic issue would be analysed before the experiment started. The last condition means that, even though the participants had enough knowledge to address the problem, they were not informed in advance about the specific strategic issue to be discussed during the meeting in order to avoid any negotiation between participants previous to the workshops.

The workshops were conducted by a team of one facilitator and two recorders per workshop. The first author served as facilitator in all the workshops. The facilitator had been trained in system dynamics, and group modelling facilitation, and thus was familiar with the two methods used in the experiment (GMB and SODA). The recorders were six first-year students of the European Master in System Dynamics programme and participated voluntarily in the meetings “writing down or sketching the important parts of the group proceedings” (Richardson and Andersen 1995, p. 115).

3.2 Procedure and Scripts

In our experimental framework a set of scripts was used to ensure the consistency of the process among the groups and its comparability. Scripts are a predefined and documented set of behaviours in facilitated modelling workshops (Andersen and Richardson 1997) that contribute to increase the transparency, replication and the transmission of effective practices (Hovmand et al. 2012). During the first workshop, the groups working with GMB and the groups working with the multimethod approach followed different scripts. In this stage, the groups working with GMB built causal loop diagrams (CLD) including the causal explanations of the problem, whereas the groups working with the multimethod built a cognitive map including the main issues and alternatives for the problem (see Fig. 1). During the second workshop, in all four groups the same scripts were used to evaluate the strategies identified with simulations of a high-level (simple and highly aggregated) system dynamics model. The summarised outline of the workshops is presented in Table 3 and a more detailed description of key scripts employed can be found in “Appendix 1”.

Table 3 Workshop outline

3.3 Measures

Following the recommendations of Franco (2007) and Rouwette (2011), we used triangulation between three different data collection methods in order to evaluate the process and its outcomes. The methods used were observations, questionnaires and interviews.

3.3.1 Observations

Observations are descriptions of what is happening in a particular situation from the perspective of an observer (Saunders et al. 2006). These descriptions can be in the form of qualitative data (narrative descriptions) or quantitative data (coded descriptions). In this research, we classified the participants’ contributions by coding them, based on their type and content. The term participant’s contribution was used to label the participant’s action to verbally express an idea, concept, question or emotion during the workshop. Each participant’s contribution represents one participants’ turn, from the moment he or she started to speak until finished. Therefore, a contribution may include only one word or it may include many sentences. Examples of participant’s contributions are:

Exactly!!!. (Financial Manager, organisation 2, GMB workshop 2);

The important is to focus on our essence, on what we are. Not pay attention to the competitors. For that reason I think we should not focus in the benchmark but in our internal vision. (Marketing Manager, organisation 1, multimethod workshop 1);

I think one cause [of the problem] is the high expectations we have created in our customers. They think they can ask for an utopic quality since they pay more than the rest (Marketing manager organisation 1, GMB workshop 1);

You see, as I see it, there is not a direct connection between the elements. What do you have there is more like spiral. On a spiral relationship everything is connecting with everything. You cannot recognise clear cause and effect relationships there. You see, everything is connected. You cannot not identify the beginning and the end of the relationships. For instance, the lack of financial resources is related to the lack of leadership, but also the lack of leadership affects the lack of financial resources. Everything is connected (Financial Manager, organisation 2, multimethod workshop 1).

In total 3163 participants’ contributions (thus excluding the contributions made by the facilitator) were coded during the workshops in the two conditions (multimethod contributions \(n = 1743\), and GMB contributions \(n = 1420\)). In addition to the video or audio recording, the notes made by the recorders present in the room during the workshops enabled us to reconstruct the process followed by the participants.

To analyse the contributions, we coded them in the categories or types presented in Table 4. We recognised the benefits (e.g., efficiency gains) of building on existing coding schemes based on theories that fit to the research question and aim of our study. Therefore, our coding scheme was constructed using the approach described by Folger et al. (1984) for group communication research. The primary types of the coding scheme are: D—divergent, Co—convergent, CSu—clarifying/summarising, A—assessment and N—negative. The category assessment was divided into subtypes in order to better describe the contributions during the process. In addition, the code scheme presented by Dwyer and Stave (2008) was used to code the content of each contribution (see Table 4). The content of the contributions was identified as: Problem formulation (PF), causes (C), alternative/solutions development (AS) or others (O).Footnote 1

Table 4 Coding scheme: type and content of contribution

Using this coding scheme, the first author and an independent coder, to the best of their knowledge, exhaustively coded the contributions recorded in audio and videotapes during the workshops. The independent coder was a volunteer student on economics proficient in both English and Portuguese, unaware of the aims of this research. Previous to the coding work, the first author trained the independent coder in order to ensure the coder understood the coding scheme. To determine the interreliability, we calculated the percent agreement using Holsti’s methodFootnote 2 (Neuendorf 2002). There were only minor disagreements between the two coders, as the interrecoder reliability values showed (i.e., between 91 and 96 %). In addition, the results reported by the two coders were validated with the observations reported in notes made by the two recorders in real time.

3.3.2 Questionnaires and Interviews

The outcomes of the workshops were measured in terms of the previously mentioned intangible outcomes: cognitive change, consensus and commitment (Rouwette 2011; Akkermans and Vennix 1997). Cognitive change was understood as the change in participants’ perceptions, thoughts, believes and long term knowledge (Johnson-Laird 2013). Consensus was considered as the creation of “agreement on content or actions” about the organisation’s priorities (cf. Rouwette 2011, p. 881). Commitment was understood as “the extent to which the team members accept the strategic decision reached and intend to cooperate to carrying out it” (Korsgaard et al. 1995, p. 61).

The questionnaires and interviews were used to elicit participants’ perspectives regarding the intangible outcomes of the workshops. We used two questionnaires: a prequestionnaire (prior to the first workshop) and a postquestionnaire (at the end of each workshop). Moreover, semistructured interviews were conducted after the experiment was finalized.

In the prequestionnaire, we asked participants to give their opinion about: (a) the best solutions for the strategic issue defined during the experiment set up and (b) the issues that are important for the discussion.

The postquestionnaire was based on the one developed by Midgley et al. (2013) to evaluate systemic problem structuring methods. This tool was selected because it aims to support “locally meaningful evaluations” between approaches in field experiments (Midgley et al. 2013). Nevertheless, the questionnaire was modified to get into more detail on the variables under consideration in the present research (i.e., cognitive change, consensus and commitment). To make the necessary modifications, an extra section was added to elicit the participants’ perceptions about (a) the best solution for the strategic issue of the workshops, (b) what issues were important to include in the discussion, (c) the degree of consensus and (d) their level of commitment. The questionnaire items used for the results presented in this paper are listed in “Appendix 2”.

Finally, using semistructured interviews at the end of the workshops, we evaluated participants’ perceptions of the group decision (i.e., consensus) and their willingness to implement the decision (i.e., commitment). The first author interviewed five participants of the nine participating in the GMB condition and five participants, of the nine participating in the multimethod condition, in each organisation randomly selected from both organisations. The specific interview items used for the results reported in this paper are presented in “Appendix 2”.

4 Results and Discussion

The experiment started by defining the strategic issue to discuss during the workshop with the gatekeeper of each organisation. The strategic issues were selected since they were important for the long-term future of the organisations participating and also because they involved, according to the criteria of the gatekeepers, decisions dealing with complexity and uncertainty. The strategic issues selected were:

  • Organisation 1: How to increase the organisation profits by 2020?

  • Organisation 2: How to reach the waste source separated materials goal by 2020?

After defining the issues to discuss, the groups were formed and the workshops were scheduled according to the availability of the participants. Each group participated in two workshops separated by two weeks of modelling work in between (see Fig. 1), the first workshop dedicated to structuring the problem and the second one to explore solutions to address it.

During the first workshop the participants used either (a) qualitative GMB (i.e., in the GMB condition), or (b) SODA (i.e., in the multimethod condition) to create a preliminary boundary of the problem. To perform this task, the GMB groups built a causal loop diagram representing the causes and consequences of the problem under analysis (for an example, see Fig. 2). In contrast, the multimethod groups built a cognitive map with the relevant issues for the problem and used this map to rank strategic priorities (for an example, see Fig. 3). To illustrate the differences in the models built during the experiment, Figs. 2 and 3 present a causal loop diagram and a cognitive map built during the workshops.Footnote 3

Fig. 2
figure 2

Causal loop diagram for organisation 1 developed by the group working with GMB (output of workshop 1). Note B balancing loop, R reinforcing loop

Fig. 3
figure 3

Cognitive map for organisation 1 developed by the group working with the multimethod approach (output of workshop 1)

Both models represent the group assessment of the strategic issue: How to increase the organisation profits by 2020? The cognitive map (Fig. 3) shows that the group working with the multimethod approach focused on the actions (internal and external) that will increase the number of customers and organised them into a means to end network. It is important to highlight that even though SODA does not focus on feedback loop relationships (Rouwette et al. 2011a, b), participants identified three feedback loops in the diagram (represented by blue lines in Fig. 3). The causal loop diagram in Fig. 2, on the other hand, shows that the group working with GMB focused on explanation of the mechanisms by which the organisation gains and serves customers. The diagram shows that the group identified seven feedback loops.

In addition to the map or diagram, the groups drew graphs over time regarding the most important concepts in their model. Graphs over time are graphic representations of how the behaviour of an element has developed in the past and how it could be expected to unfold in the future (Andersen and Richardson 1997; Luna Reyes et al. 2004). Figure 4 shows a graph overtime drawn by the participants of organisation 2 during the workshop. In the graph overtime, the participants represented the previous behaviour of one of the target variables (recyclable waste) as well as the desired and the expected behaviour for the upcoming five years.

Fig. 4
figure 4

Graph over time drawn by one of the participants of organisation 2 in the group working with the GMB approach (output of workshop 1)

During the time between the two workshops, the facilitator used the outcomes of the first workshops to build four (one for each group) system dynamics models behind the scenes (see Fig. 1). The models were built partially following the scripts of Howick et al. (2006) and mainly based on the experience of the facilitator (i.e., the first author) as a modeller. To ensure that all the ideas were properly represented in the simulation model, a workbook was prepared containing the main concepts and diagram explanations of each model and directing questions. These workbooks were distributed among the participants and collected one week later with participants’ comments and answers. Participants’ comments, answers and suggestions stated in the workbook were used to refine and calibrate the final system dynamics (quantitative) model to be used during the second workshop. Figure 5 shows, as an example, the diagram representation of the system dynamics model built for the group working with GMB in organisation 2.

Fig. 5
figure 5

Stock and flow diagram representation of the system dynamics model built behind the scenes for the group working with GMB in organisation 2, based on the outputs of the first workshop

Hence, in the second workshop, all the groups used a system dynamics (quantitative) model to explore strategies to solve the problem identified by the organisations. As mentioned, these quantitative models used were built by the first author without the presence of participants from the organisation based on the causal loop diagram or cognitive map produced in the first workshop. Therefore, the second workshop started with a review of the causal loop diagram or cognitive map built during the first workshop and the main results of the workbooks. It continued with the presentation of the (quantitative) system dynamics model and the explanation of the main concepts and feedback loops in the model. To do so, the facilitator rolled out the quantitative model, starting the presentation with a simple structure and progressively adding more details. In this process, the facilitator used graphics and animations to explain the iconography of the model and computer simulations to show the behaviour resulting from the model structure. For example, as depicted in Fig. 5, the system dynamics model of organisation 2 (GMB condition), represented the strategic issue: How to reach the source separated waste materials goal by 2020? The group focused on the creation of awareness of the target population and its sensitisation regarding the environmental consequences of the domestic waste. The amount of source separated materials collected by organisation 2 depends, according to the group, mainly on the number of people who are aware of the importance of recycling and the number of people who are sensible to this importance. The expenses on communication campaigns were identified as the main drivers of the population awareness and sensitisation. Moreover, the model also incorporated logistics constrains that potentially limit the collection of the separated materials, and economic limitations due to the current size of the market for recycled materials in the country. By using this simple model the participants were able to grasp not only the system dynamics iconography represented in the simulation model, but also got important insights about delays, accumulations and feedback loop mechanisms present in the system. The detailed script used is presented in “Appendix 1”, with the title Script 1 Workshop 2.

Fig. 6
figure 6

Contributions by type: GMB versus multimethod. Note Multimethod, organisation 1, \(n = 837\); GMB, organisation 1, \(n = 553\); multimethod, organisation 2, \(n = 906\); GMB, organisation 2, \(n = 867\). Holti’s level of agreement: MM \(=\) 95 %; GMB \(=\) 91 %

Fig. 7
figure 7

Contributions by content: multimethod versus GMB. Note Multimethod, organisation 1, \(n = 837\); GMB, organisation 1, \(n = 553\); multimethod, organisation 2, \(n = 906\); GMB, organisation 2, \(n = 867\). Holti’s level of agreement: MM \(=\) 96 %; GMB \(=\) 95 %

Once the team understood the structure represented by the model, the facilitator asked participants to propose and test different strategies. Then, these strategies were included in the model and simulated to observe their consequences. Previous to each simulation, the facilitator asked participants what they expected the simulation result to be. After running the simulation, the facilitator returned to these predictions and explained the simulation results based on the model structure. After all the strategies were simulated, the facilitator asked the participants to think about and to propose different exogenous variables or combinations of events (scenarios) that could threaten the solutions proposed to the initial problem of the workshop. Finally, the facilitator summarised the results of the two workshops, connecting the results between the two rounds of events. The detailed scripts, used in this part of the workshop, are presented in “Appendix 1”, with the titles Script 2 Workshop 2, and Script 3 Workshop 2.

4.1 Type and Content of Contributions

In total, 3163 participants’ contributions were reported during the GMB and the multimethod workshops, and coded according to their type and content. Due to the small size of the sample (only two groups in two organisations) no special statistics treatment was applied to the data. In Figs. 6 and 7 the differences between the contributions made by participants in the two approaches can be seen. Figure 6 shows differences in the contribution types: divergent and assessment. More divergent and assessment contributions were made during multimethod workshops than during the GMB workshops. Further, it is important to mention some other relevant differences in the contribution types between the two organisations. While the group working with GMB in organisation 1 showed a similar amount of convergent contributions to the group working with the multimethod, in organisation 2 the group working with GMB reported more of this type of contributions than the group working with the multimethod. Conversely, a noticeable difference was found between the groups working with GMB and the multimethod in organisation 1 for clarifying/summarising contributions, however this time, no such difference was observed for this type of contribution between the two groups in organisation 2.

Regarding the content of the contributions, in Fig. 7, it can be seen that in the multimethod workshops, participants contributed more statements with regard to the problem formulation (e.g., concerning the issues important to discuss) than in the GMB workshops. In contrast, the same figure shows that participants who used GMB contributed more statements about the causes of the problem (i.e., expressing causal explanations) than the participants who used the multimethod approach. Though, this difference is smaller between the groups of organisation 1.

In addition the results show that in the case of organisation 1 more contributions were provided during the multimethod process than during the GMB process. These results could be expected since Ackermann et al. (2010, p. 338) described the first workshop of the multimethod approach as a “fast and efficient” way to elicit and rank many ideas. Additionally, the positivist perspective of GMB could block some emergent conversations (Rouwette and Vennix 2006) and, therefore, reduce the number of divergent contributions by narrowing them to variables that represent causes or consequences. However, despite that the facilitator and the scripts were the same for the two organisations, in organisation 2 there was only a slight difference between the number of contributions provided by the participants in the two methods.

The results above support the findings of previous case study-based research (see Table 1) and were somewhat expected since both methods (SODA and GMB) stand on different theoretical and methodological assumptions, as outlined in Sect. 2. However, these results also bring novel insights since they arise from: a) the systematic, objective and transparent quantification of the differences between a single (i.e., GMB) and multimethod approach (i.e., the combination of SODA and GMB), and b) the direct comparability of the two approaches in a controlled experimental setting, wherein managers from the same company were asked to tackle the same problem.

4.2 Cognitive change

The degree of cognitive change was assessed by comparing the answers of the participants to the questionnaires before and after the experiment regarding what were in their opinion the three best alternatives to solve the strategic issue under analysis. By comparing the two questionnaires it was possible to quantify how many participants changed one, two, or all (three) of their suggestions after participating in the experiment. In Fig. 8, it can be seen that the participants in the multimethod workshops exhibited a higher degree of cognitive change because they shifted most of their original suggestions after the experiment. Figure 8 shows that while most of the participants from the multimethod workshop (seven out of nine participants) changed all of their proposals after the experiment, only two of the eight participants who participated in the GMB workshops changed all of their proposals.

Fig. 8
figure 8

Degree of cognitive change (see “Appendix 2”, Item 1 and 2): GMB versus multimethod. Note Multimethod, \(n= 9\); GMB, \(n= 8\)

Nevertheless, it is important to recall how we measured the degree of cognitive change. Our measurement of cognitive change reflects the degree to which participants—in their perception—changed their original proposals; it did not measure the extent to which participants validated their previous beliefs, learned about the causes of the problem or changed their ranking of possible alternatives. Further research may explore this issue and illuminate on the causes of cognitive change.

4.3 Consensus

The consensus was measured based on participants’ answers in the postquestionnaire (\(n = 17\)) and during the interview (\(n= 10\)). These answers are summarised in Figs. 9 and 10 for the interviews and postquestionnaires, respectively. These results show that the level of consensus perceived by the participants in the GMB workshops was higher than the degree of consensus indicated by those from the multimethod workshops.

Fig. 9
figure 9

Degree of consensus reported in the interviews (see “Appendix 2”, Items 5 and 6): GMB versus multimethod. Note Multimethod, \(n= 5\); GMB, \(n= 5\)

Fig. 10
figure 10

Degree of consensus reported in the postquestionnaires (see “Appendix 2”, Item 3): GMB versus multimethod. Note Multimethod, \(n= 9\); GMB, \(n= 8\)

Fig. 11
figure 11

Content of consensus in organisation 1 (see “Appendix 2”, Item 2): GMB versus multimethod. Note Multimethod, organisation 1, \(n= 10\); GMB, organisation 1, \(n= 12\) (up to three alternatives per participant). C1 \(=\) expansion, C2 \(=\) real estate market, C3 \(=\) finance results, C4 \(=\) advertising, C5 \(=\) customer satisfaction

Fig. 12
figure 12

Content of consensus in organisation 2 (see “Appendix 2”, Item 2): GMB versus multimethod. Note Multimethod, organisation 2, \(n= 15\); GMB, organisation 2, \(n= 12\) (up to three alternatives per participant). C1 \(=\) internal strategy, C2 \(=\) communication and awareness, C3 \(=\) technic and logistic solutions, C4 \(=\) budget control, C5 \(=\) stakeholder involvement

In addition, we analysed the content of the consensus reached during the experiment by clustering and comparing the solutions proposed by the participants at the end of the experiment. When the content of these solutions was analysed, for both approaches, the majority of the proposed solutions could be clustered under the same category as can be seen in Figs. 11 and 12. For example, six participants from the multimethod workshops in organisation 1 (see Fig. 11) agreed that the final solution of the problem was to perform activities in the category “Expansion” (C1).

Moreover, Figs. 11 and 12 show that participants in the multimethod approach provided more solutions that could be grouped under the same cluster. This could give the impression that more participants agreed about the same solution for the multimethod approach; hence, their degree of consensus seemed higher than the degree of consensus reached for the participants working with the GMB approach. However, this result seems at odds with the degree of consensus reported in the interviews and postquestionnaires (see Figs. 9, 10). Hence it is not possible to conclude which approach (i.e., the single or the multimethod) excels in fostering consensus.

Finally, it is interesting that the analysis of the content of consensus shows that the groups agreed on completely different solutions and reached different conclusions from the models they built. These findings point to the important effect of the problem structuring stage (Ackermann and Eden 2011) on the definition of strategic agendas. Our results indicate that when SODA was used in the first workshop, participants were encouraged to explore a wider range of ideas, which might explain the differences in content of the solutions proposed. For instance, the multimethod group sought for more alternatives outside the boundaries of the organisation, such as expansion and stakeholder engagement (see Figs. 11, 12, respectively). On the other hand, when in the first workshop (qualitative) GMB was used to frame the problem, participants focused on the causes of the current behaviour within their influence and, hence, they were inclined to choose potential solutions inside the boundaries of the organisation, such as communication expenses, (i.e., advertising, see Fig. 12, category C2) and financial results of the organisation (see Fig.  11, category C3).

These conclusions are supported by the answers of the participants during the interviews. For example, when they were asked, “What would you consider the main contributions of the approach used in the first workshop?”, participants working with GMB emphasised the enhancement of problem understanding:

I think we understood better some problems of the company... (Marketing Manager, organisation 1);

I think the discussion was good...we also came up with some ideas of what were the reasons for the problem, like what things were preventing us from achieving the desired results... (Human Resources Manager, organisation 2);

Well, we discuss a lot about the causes of the problem...that was important...because before making decisions we should analyse what is the current situation and how we ended here (Financial Manager, organisation 2).

On the other hand, when asked the same question, participants working with the multimethod approach highlighted that this approach helped them to bring many ideas to the discussion and to prioritise them:

I think the cognitive map was really good. The map really help us to focus on the important issues....you see at the beginning we have a lot of different ideas... (Financial Manager, organisation 2);

Clearly the cognitive map give us a better perspective...you saw we have many issues but when we arrange them in this framework with the goals on top, it became clear some issues were not important (Financial Manager, organisation 2);

We cannot focus on everything that we would like, so we need to identify what is coming first (Human Resources Manager, organisation 1).

Even though these results are not unequivocal, they seem to indicate a relationship between the approach used to structure the problem and the resulting model that participants built and, hence, the outcomes, of the process. Such relationships should be studied in more detail in further research.

4.4 Commitment

To evaluate the degree of participants’ commitment with the final solution, the participants were asked in the postquestionnaire to what extent they felt committed with the final solution of the workshop, and in the interviews to what extent they were willing to implement this solution. The results of the postquestionnaire are presented in Fig. 13 and show that participants working with GMB demonstrated a higher degree of commitment than participants in the multimethod condition.

Fig. 13
figure 13

Degree of commitment: GMB versus multimethod (see “Appendix 2”, Item 4). Note Multimethod, \(n= 9\); GMB, \(n= 8\)

It has been discussed in the literature that commitment is closely related to the ownership over the model built by the group and its results (e.g., Akkermans and Vennix 1997; Franco 2007). Moreover, Richardson and Andersen (2010) have rightly pointed out that the ownership of the resulting simulation model will be closely related to the consistency between the maps drawn by the group and the resulting simulation model. In this sense, the relatively low commitment of the participants working with the multimethod could be a result of the inconsistency between different representations of the problem (cognitive maps vs. system dynamics model) used in the multimethod approach. This is an important disadvantage of this approach because, in the context of the strategic analysis process, commitment to implementation is a key ingredient for the success of the strategies developed in the process. Similarly, authors like Videira et al. (2012) and Luna Reyes et al. (2006) have pointed out the importance of active involvement of the participants in the simulation model construction to create ownership of the resulting model and its results. Therefore, important challenges to be addressed in designing multimethods that involve different types of models, are the trade-offs between model consistency and client involvement, and the resulting commitment. Especially when simulation models are included, attention to these trade-offs seems warranted.

In particular, we recognised lack of ownership in: (a) participants’ lack of confidence in the outputs generated by the workshop (see Fig. 14) and (b) participants’ perception that the final model was incomplete or needed to include particular elements they mentioned during the first workshop and that were not explicitly present in the final model (“Appendix 2”, items 7 and 8).

Fig. 14
figure 14

Confidence (We use the variable “confidence” as a measure related to model ownership (Howick et al. 2008; Rouwette et al. 2011b). Note: The results in the figure correspond to the answers of participants in the postquestionnaire to the question: to what extent do you agree or disagree that the workshop has helped you to... Have confidence that the outputs generated by the workshop will make a difference?) of participants in the outputs generated: GMB versus multimethod. Multimethod, \(n= 9\); GMB, \(n = 8\)

Evidence regarding ownership issues was found in the interviews, for instance, when participants were asked about their desire to help to carry out the implementation of some the results of the workshops (see “Appendix 2”, Items 7 and 8).

Also answers to questions about moments of the discussion that the participant disliked, or elements that were not included and could improve the results of the meeting, suggested that ownership was at stake. Participants working with the multimethod approach said, for instance:

I think the model could have more details...was too general....many things stayed out of the model...think we should invest more time including the details that are missing and then try the solutions.... I’m sure the results would be different (General Manager, organisation 1);

Mmmmm...think I will need to understand more what it requires of me...so far is not clear...I think everybody in the team will have to contribute in one way or another... (Financial Manager, organisation 2);

Well...we need to put more details in the model...and talk more about implementation for sure... I think for now it is a good idea to start...but still more work is needed (Designer, organisation 1).

On the other hand, participants working with GMB provided statements like:

Yes...I will be happy to do so...I think it is important to show the investment should be constant and also the conditions...many times we have these events or these campaigns...but these are just single shots...this should be something we keep doing (Communications Manager, organisation 2).

Yes...I will like to do it...think I know about our competitors’ quality proposition and can assess what should be the quality we propose, and also the prices...I know about a lot of cheapest places but with really bad quality (Operations Manager, organisation 1);

Finally, also the expertise of the facilitator needs to be considered. Finding a facilitator with enough knowledge, training and experience with different methods is not always possible and could constitute a limitation for replicating this type of research. In our case, the facilitator had more experience in facilitating GMB workshops than SODA workshops and it must be noted that we did not formally measure the facilitator’s performance. Nevertheless, observation in the room (e.g., by the third author) and evaluations of participants indicated that the facilitator’s competence to perform both methods did not constitute a limitation in this study.

5 Conclusions

The present study offers a first step in the process of systematically comparing facilitated modelling approaches under comparable settings while addressing real-life problems and strategic decisions in organisations. For this purpose, we advanced a novel experimental research design which allowed to validate previous case study-based findings and provide important lessons for further applications by academics and facilitated modelling practitioners.

The results showed that combining SODA and GMB in the multimethod proposed by Ackermann et al. (2010) stimulates a process that encourages participants to provide a broad range of ideas. This stimulus, including the benefits of computer simulations, influenced the final outcomes. In particular, we found a higher degree of cognitive change. However, the multimethod exhibited an important disadvantage when compared with the GMB approach (i.e., in the qualitative and the quantitative mode) in terms of commitment to the final solution. This lack of commitment could be attributed to the negligible degree of participant involvement in the quantitative system dynamics model building process. Moreover, our results provide empirical evidence to support the statement of Richardson and Andersen (2010) that diagrammatic consistency is important to extend the ownership from the maps to the resulting simulation model. Like the results show, the participants of the multimethod condition were less willing to implement the solutions proposed during the workshops. Participants said that they needed to interact more carefully with the model before trusting it and, more importantly, they wanted to directly contribute to it by adding “missing” elements to its structure. We understand these statements as a manifestation of the lack of ownership some participants had towards the final model. Consequently, the difficulty to realise sufficient diagram consistency can constitute an important limitation at the moment of integrating facilitated modelling approaches that use different diagrams and icons (like it is the case for SODA and system dynamics facilitated modelling) and should be carefully considered at the moment of planning the workshops and selecting the scripts.

In addition, the results suggest that the approach used during the problem structuring stage has an effect on the strategies that are analysed in the model and the conclusions the group draws from them. Participants’ focus on problem causes in GMB was joined by a search of solutions inside the boundaries established for the selected strategic problems. On the other hand, the divergent dialogue promoted during the SODA workshop encouraged the emergence of solutions outside the boundaries of the model. As we examined only two groups in two organisations, there is not enough evidence to build explanations about the mechanisms behind such differences. More research is needed to understand these differences and to formulate practical recommendations about how to effectively use or combine different approaches to support the negotiation process. Therefore, we recommend conducting more experimental research with comparable groups using different approaches to structure the problem in order to understand how the different approaches’ perspectives or scripts influence the final decisions of the managers’ team. In order to evaluate facilitated modelling approaches based on aggregation of data of future studies, it is of the utmost importance that organisation and group characteristics as well as the scripts used to support the strategic analysis processes are clearly described in the reports of future studies.

In a more practical sense, the present results also provide practitioners with insightful hints of what to expect when combining different facilitated modelling approaches, in particular with GMB. In case SODA is part of the combination, the different way to frame the problem could contribute to promoting wider discussions and to create models that are more open to different perspectives. However, practitioners should keep in mind that time and effort should be dedicated to creating a smooth transition between the methods in order to foster ownership towards the final modelling outputs.

In short, by working in our experiment with real clients and their organisation’s problem, our research design provides at least two novel contributions to the literature on facilitated modelling with GMB. In practice for organisations, and practitioners who use a facilitated modelling approach, our study suggests a relationship between the approach used and participants’ commitment toward the final solution. Our hypotheses with this respect are that: a) the level of commitment is affected by the degree of participants’ ownership toward the final model, b) ownership decreases when shifting from one diagramming tool to another in a combined approach.

For facilitated modelling researchers, our results also suggest that by encouraging participants in the GMB approach to think about causality, this approach might lead participants to only seek solutions within the initial boundaries established for the selected strategic problem. In this case, the problem structuring method needs to strike a balance in the setting of boundaries, so that these are closed enough to effectively analyse endogenous problem causes, but also sufficiently broad to promote deliberation on innovative solutions. We hypothesize that, due to its impact on setting boundaries, the approach (a single vs. multimethod) influences the scope of the strategies that are identified as paths of action. Testing this hypothesis might lead to (a) a better understanding of the effect of the way in which issues are elicited in a workshop (e.g., in a multimethod vs. GMB approach) on participants’ awareness of the bigger picture, and (b) criteria for deciding whether a single or a multimethod (and if so, which combination) is appropriate for a particular context and problem.

The present results are bound to be exploratory due to two main limitations; as mentioned, (a) the sample size, and (b) participants’ time. The sample size was constrained to only four groups participating in the experiment and participants’ time investment was restricted to their participation in two workshops and filling in the workbook (approximately eight hours per person). Notwithstanding these limitations, there is considerable potential for further research using the insights provided by the current experiment. Additional studies can extend the present findings by repeating the experiment in other cases compensating, if possible, for the limitations referred to above. Specifically, more research is needed to discover to which extend the explanatory hypotheses proposed in this paper are meaningful.

Finally, there are also opportunities for a more explicit consideration of the scripts including the techniques used to make the transition from cognitive maps, used in SODA and other facilitated modelling approaches, to system dynamics diagrams. With the exception of the scripts presented by Howick et al. (2006) there are no scripts, as far as the authors have knowledge of it, that allow to effectively link cognitive maps with system dynamics representations. Moreover, there is a lack of evidence on the effectiveness of the currently existing scripts. This, for sure, constitutes an important area of research since the sense of ownership, and therefore the commitment of the participants with the results of facilitated modelling workshops, could be compromised when a multimethod is used.