1 Introduction

Since Schumpeter (1942), the question of how firm size and market structure affect innovation has drawn the attention of many economists. The main Schumpeterian tenet states that large firms operating in a concentrated market are the main engine of technological progress. Initially such belief drove ever greater attention to the innovative behavior of large firms. Indeed, prior to the early 1970s, only a relatively low share of innovation activities was associated with small firms (Pavitt et al., 1987). A stronger interest on smaller businesses emerged after the influential works of Acs and Audretsch (1987, 1988) and Pavitt et al. (1987), who illustrate the significant role played by smaller enterprises in specific sectors of the UK and the USA, respectively. Nevertheless, micro firms with fewer than 10 employees are still an under-studied category and are often assumed to be marginal businesses with no innovation capacity (Baumann and Kritikos, 2016). Very little is known about their innovative behavior and their innovation drivers (Tu et al., 2014; Roper & Hewitt-Dundas, 2017; Audretsch et al., 2020; Henley & Song, 2020). This is particularly true in Europe, due to the scarcity of comprehensive innovation data on micro firms.Footnote 1 For that reason, an overall outlook of the innovation activities of European micro, small, and medium enterprises (MSMEs) is still missing in the literature. Moreover, the literature regarding the relationship between market structures and firm innovation is mainly focused on large companies. To the best of our knowledge, studies about the effect of competition on microbusinesses’ innovative behavior are completely missing. In this regard, we ask whether the evidence acknowledged for larger companies and SMEs are valid also for the substantial population of micro firms. Enterprises with less than 10 employees are considered to be the backbone of the EU-28 economy, being the 93 percent of all firms in the non-financial business sector (European Commission, 2019). Thus, having a deeper understanding of microbusinesses’ innovative activity is crucial to test the generality of the findings confirmed for the population of larger companies. Moreover, this would help not only small businesses’ owners to improve their performance, but also policy makers to promote the growth and the development of the whole economic system.

The aim of this paper is twofold. First, we want to investigate whether micro firms with fewer than 10 employees, together with larger SMEs, contribute to the creation of innovation within the EU economy and, if yes, how. Secondly, we want to explore how competition affects their innovative activity. To do this, we rely on the Survey on the Access to Finance of Enterprises (SAFE), a jointly run survey by the European Commission (EC) and the European Central Bank (ECB). It collects a large sample of firm-level data from all the EU countries, including a significant share of firms with fewer than 10 employees. Although innovation and competition are not the core issues of the survey, useful information is collected. To the best of our knowledge, SAFE is the only database that, together with small (10–49 employees) and medium (50–249 employees) ones, includes firm-level data on innovation and competition also on a large sample of micro (1–9 employees) enterprises across all the EU countries.

The first part of the paper provides descriptive statistics about the innovation activity of European small businesses, including micro firms. In the second part, we develop an empirical analysis to study how competition affects such activity. We do not limit based on the firms’ innovation status (whether they innovate or not), rather we focus on the different categories of innovation (technical, non-technical, external, and internal), on the complexity of the innovation strategy (the number of innovation types introduced), and on the frequency of innovation (the number of years a firm has been innovative). The estimates show an inverted-U-shaped relationship, whereby European MSMEs’ innovation activity initially increases and then declines slightly with competition. The results hold for all firms, regardless of their size.

The rest of the paper is organized as follows. The next section highlights the related literature and the main contributions of the paper. Section 3 describes the data and the constructions of our main variables of interest. Section 4 provides sample descriptive statistics aimed at exploring the main characteristics of the European MSMEs’ innovation activity. Section 5 develops the empirical analysis to investigate the effect of competition on innovation and discusses the main results. Section 6 contains two complementary analyses on the complexity and the frequency of innovation. Section 7 concludes the paper.

2 Related literature and contributions

This paper contributes to two strands of the literature: the nascent one about the innovative activity of micro firms and the more advanced one about the relationship between market structure and innovation. In the 2010s, the availability of new data on microbusinesses is facilitating progresses in the understanding of their innovative behavior. Baumann and Kritikos (2016), for instance, analyze the link between R&D, innovation and productivity in micro-, small-, and medium-sized enterprises in the German manufacturing sector. They find that around 50% of German micro firms engage in innovation activities, below the share of larger SMEs as expected in theory, but far above zero. Similarly, Audretsch et al. (2020) find that German micro firms in knowledge intensive sectors are willing to engage with similar probabilities in innovation activities as larger firms and that they have a similar ability of transforming innovation inputs into innovation output. Roper and Hewitt-Dundas (2017) add to this literature using data from a survey of 1000 microbusinesses in Northern Ireland. Their findings underline the significant role of these firms as sources of new-to-the-market innovation and the potential value of including them in future innovation studies. Finally, Henley and Song (2020) use British microbusinesses survey data to explore the link between innovation, productivity, and exporting activities in firms with fewer than 10 employees. Again, a non-negligible innovative activity of these firms emerges. Despite limitations, these works suggest that micro enterprises should not be considered marginal: although smaller than that of larger companies, their contribution to innovation might be significant. Nevertheless, the aforementioned studies focus on single countries and the samples of micro firms are consequently limited. Moreover, none explore the role of competition. Thus, our paper offers a primary and overall overview of the EU micro firms’ innovation activity and the link with competition. In industries with many firms, small enterprises often seek the protection of a market niche of little or no interest to the larger companies (Cooper et al., 1986). This might lead to the belief that the pressure of competition and its impact on innovation are weak for small firms. In our sample, the existence of a potential “niche effect” is suggested by the fact that the average level of perceived competition increases with firm size. Nevertheless, we show that the relationship between competition and innovation also matters for very small businesses.

Studies on the relationship between market structure and innovation are more advanced. A great effort has been made to shed light on this issue, but a consensus is not yet reached. The three dominant theories are originally attributable to Schumpeter (1942), Arrow (1962) and Scherer (1967). The first theorizes a monotone negative relationship, whereby an increase in the level of competition diminishes the incentive to innovate: the higher the number of competitors, the lower the appropriability of the innovation and, consequently, the incentive to innovate. On the contrary, Arrow proposes a monotone positive relationship by showing that the incentive to invest in innovation is lower under monopolistic conditions than under competitive ones: being innovative helps the enterprises to escape competition and gain competitive advantages. To Scherer can be attributed the first evidence of a non-linear and concave relationship between competition and innovation. Until the beginning of the 2000s, the debate mainly played around the Schumpterian and Arrowian views, leaving Scherer as a marginal consideration. Indeed, the literature strongly focused on providing theoretical backgrounds and empirical evidence supporting the first (Dasgupta and Stiglitz, 1980; Spence, 1984; Kraft, 1989; Romer, 1990;, Aghion & Howitt, 1992; Vives, 2008; Hashmi, 2013) and the second (Porter, 1990; Geroski, 1990; Geroski & et al., 1995; Nickell, 1996; Blundell et al., 1999; Galdon-Sanchez & Schmitz, 2002) positions. Kamien and Schwartz (1976) were the only ones who followed Scherer by providing a theoretical model to address the empirical finding that innovative activity increases with the intensity of rivalry up to a point, then declines thereafter as the competitiveness of the industry further increases. The seminal paper of Aghion et al. (2005) returns the findings of Scherer to the fore. Building a step-by-step innovation model, they theorize an inverted-U relationship between product market competition and innovation, where the escape competition (or Arrowian) and the Schumpeterian effects coexist. Their main prediction is that rising competition has a positive impact on innovation effort when the initial degree of competition is low (i.e., when a larger equilibrium fraction of sectors involves neck-and-neck competing incumbents) and negative when the initial level is high (i.e., when a larger fraction of sectors in equilibrium counts a large share of laggard firms with low initial profits).

The findings of Aghion et al. (2005) led researchers to investigate the relationship between competition and innovation from a new perspective and empirical studies aimed at testing such inverted-U curve grew substantially. Askenazy et al. (2013) and Mulkay (2019), for instance, do this for French firms. The former finds clear evidence of an inverted-U for largest firms, but such evidence does not occur when the sample is extended to smaller ones. The latter, considering a sample of both large and small firms over the 2000–2013 period, does not find econometric evidence of the inverted-U-shaped relationship. Tingvall and Poldhal (2006), using a sample of manufacturing Swedish firms with a minimum of 50 employees, show that the inverted-U curve is supported by the Herfindahl index and not by the price cost margin indicator, suggesting that the results are sensitive with respect to the choice of the measure of competition. Hashmi (2013), replicating Aghion et al. (2005) using a richer dataset from publicly listed manufacturing firms in the USA, finds a mildly negative relationship among competition and innovation. He argues that such a result might be driven by the fact that US firms are less neck-and-neck, inducing the Schumpeterian effect to dominate the escape-competition one. Castellacci (2011) argues that competition may have different impacts on the various stages of the innovation chain, with the Schumpeterian effect prevailing in early innovation stages and the escape-competition effect in the late ones. An inverted-U relationship is instead detected by Peneder and Wörter (2014) and Halpern and Muraközy (2015), respectively, for Swiss and Hungarian firms. Friesenbichler and Peneder (2016) and Crowley and Jordan (2017) also find a quadratic effect using a sample of firms from Eastern Europe and Central Asia. Moen et al. (2018) do the same for Norwegian SMEs, but their results do not provide strong evidence of an inverted-U relationship. Subsequently, Cornett et al. (2019) find an overall U-shaped relation between industry concentration (inversely related with competition) and innovation for a large set of US firms.

A general consensus on the impact of competition on innovation is not yet reached. We contribute to the current debate by providing evidence of an inverted-U-shaped relationship for the surveyed firms. Our findings seem then to support the theories proposed by Scherer and Aghion. Moreover, while analyses on large companies are more common, those about smaller enterprises are rarer and, as far as we know, completely missing for micro firms. Our paper also extends the existing literature by developing a cross-country analysis, rather than single-country ones. In this regard, given the EU single-market structure, we find it valuable to focus on a sample including MSMEs of all the 28 EU countries. To the best of our knowledge, the only others linking competition and innovation in a cross-country framework are Ayyagari et al. (2011), who do not check for quadratic effects, Karaman and Lahiri (2014), Friesenbichler and Peneder (2016) and Crowley and Jordan (2017), who focus on developing countries in Eastern Europe and Central Asia. However, a large sample of European MSMEs is still unexplored. We also contribute by exploring the effect of competition not only on the innovation intensive and extensive margins, but also on the complexity and the different types of firms’ innovation strategy. Finally, we add to recent studies using perception-based measures of competition rather than structural indicators based on firms’ financial statistics. The main traditional indices of competition normally refer to market concentration, like the Herfindahl-Hirschman Index (HHI), or to firms’ market power, such as the Lerner Index (LI). The HHI has a sectoral dimension and it does not allow to measure competition at the firm level. In addition, the HHI normally stresses the importance of larger firms by assigning them a greater weight than smaller ones (OECD, 2021). Using this indicator in a sample of MSMEs might then be misleading. The LI, computed as the difference between price and marginal cost over price, can be firm’s specific. However, the fact that marginal costs are not directly observable introduces some difficulties in the computation and the empirical estimation of the LI (OECD, 2021). Moreover, firms’ innovation strategy, and particularly that of small businesses, is not always based on account data only (Acs & Audretsch, 2005). The critical role of managerial perceptions in organizational decision-making and strategy formulation processes has long been acknowledged (Anderson & Paine, 1975; Beyer et al., 1997). That is also why, along with these traditional indicators of competition, in recent years alternative and complementary measures based on survey data and self-perception have been proposed (Tang, 2006; Peneder & Wörter, 2014; Friesenbichler & Peneder, 2016; Crowley & Jordan, 2017; Moen et al., 2018). Although the subjective nature of these perception-based indicators might raise measurement issues, the main argument in favor of their use is that they allow to better capture firm-specific competition and to account for the fact that firms in the same sector may perceive competition differently. They also better include rivalry from both domestic and international competitors.

In light of these arguments, the use of a perception-based competition indicator looks particularly suitable for our context.

3 Data and variables definitions

We rely on the firm-level Survey on the Access to Finance of Enterprises (SAFE). It is an ongoing survey conducted jointly by the European Commission (EC) and the European Central Bank (ECB) every six months since 2009. As far as we know, it is the only database containing information on innovation and competition for a large number of micro-sized (1–9 employees), small-sized (10–49 employees), and medium-sized (50–249) enterprises across all the EU countries. The survey waves conducted by the ECB (ECB round) cover a limited number of euro area countries, while the more comprehensive survey, run in cooperation with the EC (Common round), covers all EU countries. The ECB round is conducted in April and the Common round in October of each year. The interviewed firms are randomly selected from the Dun and Bradstreet database and the sample is stratified by firm size class, economic activity, and country. The replies are voluntary and the interviews are predominantly conducted by telephone, but respondents are given the opportunity to fill in the online questionnaire. A top-level executive (general manager, financial director or chief accountant) is interviewed from each company and the questionnaire is administered in the local language. Sample replies are anonymous and statistical disclosure procedure is applied to preserve the anonymity in the micro dataset. The sample is developed to offer comparable precision for micro, small, and medium-sized companies. Concerning the economic activity, firms are grouped into four main sectors: industry, construction, trade, and services. Enterprises in the financial, agricultural, and public administration sectors are not included in the sample.Footnote 2

For our analysis, we select micro, small, and medium-sized enterprises of the 28 EU countries interviewed in the five Common round waves between 2014 and 2018.Footnote 3 The time horizon is driven by the fact that we want to keep the structure of the sample as stable as possible and because the questionnaire was significantly changed in 2014. The final repeated cross section sample includes 75,673 firm-level observations. Table 10 in the Appendix shows the total number of observations and the number of micro, small, and medium firms in each country. The most represented countries are Italy (6,994), France (6,509), Germany (6,375), Spain (5,959), and Poland (5,827). It is worth highlighting the remarkable share of micro firms included in the sample. The coverage of a large sample of MSMEs for all the 28 EU countries represents a relevant novelty of our dataset.

As the name suggests, the main objective of the SAFE is to collect detailed information about the conditions of access to finance for European small businesses. Therefore, as innovation and competition are not the core issues of the questionnaire and the number of questions on these topics is limited, we are somewhat constrained. However, to the best of our knowledge, we are not aware of other datasets including such a large sample of micro enterprises and firm-level information on innovation and competition for all EU countries. In this regard, expanding the SAFE with additional questions would be helpful to further investigations. Despite this limitation, we consider the available information a valuable starting point.

Measuring innovation

We use the following SAFE question to measure whether firms are innovative or not: “During the past 12 months have you introduced: a) a new or significantly improved product or service to the market; b) a new or significantly improved production process or method; c) a new organization of management; or d) a new way of selling goods or services?” Following a similar approach to Mairesse and Mohnen (2010), Ferrando et al. (2019), Ferrando et al. (2020) and Santos and Cincera (2021), we define as innovative those firms that answer “Yes” for at least one of the four options.Footnote 4 We also consider separate dummies to disentangle the four types of innovation (product, process, organization, and marketing innovation). This allows us to measure not only whether a firm innovates or not, but also how. Thus, we focus on the output side of the innovation process. Existing literature points out that smaller firms might often report innovation without formal R&D engagement or under-report R&D activities (Pavitt et al., 1987; Symeonidis, 1996; Baumann & Kritikos, 2016). Relying on R&D investments might then lead to under-estimate the number of innovative MSMEs (Acs & Audretsch, 2005). Another advantage is that the survey question under consideration allows to disentangle the different types of innovation. Along with these pros, our measure shows some limitations. First, it only provides information on the extensive margin (whether the firm innovates or not) but not on the intensive margin (how much the firm innovates). It is not then possible to measure the degree of innovation embedded in products or processes that firms have developed. Second, the decision to report an innovation stays completely with the surveyed firms, which can intentionally misreport their answers (Siepel & Dejardin, 2020). This caveat should be taken into account, even though, given the anonymity of respondents, there are no reason to think that firms might falsely respond to the question either to overstate or to downstate their innovation capacity. For the sake of comparison, we select from the CIS 2018 results reported in Eurostat the country percentages of firms with innovation activities.Footnote 5 In Fig. 1, we plot the differences between the SAFE country percentages of innovative firms and the CIS ones.Footnote 6 Overall, SAFE seems to over-estimate firms’ innovative activity, particularly for Romania. However, Table 11 in the Appendix, reporting the correlations coefficients between the SAFE and CIS percentages, shows that, despite the over-estimation, the two measures are positively and significantly correlated.Footnote 7

Fig. 1
figure 1

SAFE-CIS percentage gaps. Notes: Authors’ calculations on SAFE (2016–2018) and CIS (2018). The figure reports the differences between the countries percentage of innovative firms resulting from the two surveys. Only firms with at least 10 employees are considered

Measuring Competition

To measure the level of competition, we rely on the following question: “How important has the problem of competition been for your enterprise in the past six months?” Surveyed firms can answer on a scale of 1–10, where 1 means “not at all important” and 10 means “it is extremely important.” This is the only information about competition that we can access and, as before, it implies pros and cons. First, competition here is very broadly defined, with no distinction among ex ante/ex post or product/credit market competition. Firms might then interpret the question differently and refer to different types of competition. Moreover, we do not have information on the number of competitors, even though we find it reasonable to assume that the pressing problem of competition increases with the number of competitors. On the one hand, we are then aware that our continuous variable is only an imperfect proxy for the intensity of competition and that its subjective nature may add some noise to the data. On the other hand, as anticipated in Section 2, using subjective measures rather than industry indicators provides some advantages (Tang, 2006; Peneder & Wörter, 2014; Friesenbichler & Peneder, 2016; Crowley & Jordan, 2017). First, perception-based measures can more properly capture firm-specific competition. This accounts for the fact that firms in the same industry might actually produce different products and compete in different markets. Even considering narrow industry classifications, relevant markets are typically further segmented. In this case, firm-specific competition may not be correctly detected by the traditional industry measure. Second, despite being in the same sector, firms may have different perceptions regarding the degree of competition they face. In this respect, survey respondents are top-level executives, whose decision significantly affect firms’ performance, particularly in small businesses: their activity is strongly influenced by a single person’s decisions and the top-executive’s perception is a key determinant of their strategy. Finally, the perception-based measure captures rivalry from both domestic and international competitors. Given the broad sectors classification (firms are divided into only four sectors), the size of the surveyed firms, and the cross-country nature of our analysis, accounting for these issues appears crucial.

4 An overview of European MSMEs’ innovative activity

The first objective of the paper is to investigate whether and how European small businesses, including those with fewer than 10 employees, participate in innovation. In this section, we report several descriptive statistics aimed at providing an overview of the innovative activity and the perceived level of competition of the surveyed firms. Table 12 in the Appendix reports descriptive statistics for the main variables of interest. More than half of the surveyed MSMEs (57%) declared to have introduced at least one type of innovation over the 2014–2018 period. The average EU percentage of innovative firms in the 2018 Community Innovation Survey (CIS) is around 50%, slightly below, but close to, our value. Looking at the four different typologies, product innovation prevails with 34%, while process, organization, and marketing innovations show similar and still not negligible values. These numbers show an overall active contribution of European MSMEs to innovation. Panel (a) of Fig. 2 shows that the percentage of innovative enterprises increases with firms’ size, as expected from the literature, and a remarkable share of innovative micro firms. Around half of these micro firms declared having introduced at least one innovation. Moreover, the firms’ percentage introducing a product, process, or organizational innovation increases with size, while that for marketing innovation declines. Micro firms seem to be more marketing innovative than small and medium firms. As panel (b) illustrates, the industry sector has the highest percentage of innovative firms, followed by trade, services, and construction. A similar trend characterizes product innovation, which is the most introduced type in the industry, trade, and services sectors. In construction, organizational innovations dominate. In panel (c), we disentangle firms’ size and industries. In all sectors, the share of innovative enterprises increases with firms’ size. Overall, Fig. 2 confirms the fact that innovation grows with companies’ size, but it also shows that the innovative activity of smaller SMEs, including micro firms with fewer than 10 employees, is far from negligible.

Fig. 2
figure 2

Notes: Authors’ calculations on SAFE data. The figure reports the weighted percentage of firms that introduced at least one type of innovation (innovative) and product, process, organization, or marketing innovation. It does so by size (a), sector (b), and both sector and size (c). The statistics refer to the five Common round waves from 2014 to 2018

Innovative firms by size and sector.

Panel (a) of Fig. 3 reports the percentage of innovative MSMEs in each country of the survey. The values go from a minimum of 42% (Hungary) to a maximum of 73% (Finland), with a gap of around 30 points. If we exclude these two countries, the distance between the second worst (Estonia) and the second best (Cyprus) is of 20 points. Such range suggests a certain level of heterogeneity in the MSMEs innovative activity across EU countries. This is further highlighted by the geographical distribution in the right panel. The quantile distribution distinguishes four different country groups: 42–53% (Hungary, Estonia, Poland, Germany, UK, Bulgaria), 54–57% (Latvia, Netherlands, Belgium, Sweden, France, Czech Rep., Denmark, Spain, Ireland, Austria, Croatia, Slovakia), 58–61% (Luxembourg, Italy, Lithuania), and 62–73% (Slovenia, Malta, Portugal, Greece, Romania, Cyprus, Finland). The low position of Germany might be surprising. However, recent studies signal a slowdown of German SMEs’ innovativeness rate.Footnote 8

Fig. 3
figure 3

Notes: Authors’ calculations on SAFE data. The figure reports the weighted percentages of MSMEs that introduced at least one innovation (a) and that introduced a product (b), process (c), organization (d), and marketing (e) type in each country. The statistics refer to the five Common round waves from 2014 to 2018

Innovation activity by country.

Figure 3 also reports the percentage of surveyed MSMEs that introduced a product (panel b), process (panel c), organization (panel d), or marketing innovation (panel e) in each country. This allows us to collect more details on the between country innovation heterogeneity and also to investigate which types of innovation are more developed than others in each country. The largest gap between the worst and the best performing country is observed for organization innovation (36%), followed by marketing (28%), process (26%), and product (22%). Looking at the maps, Eastern Europe seems to be more innovative than Western Europe in terms of product innovation, while the opposite is true for organization and marketing types. For process innovation, there is not a clear trend. Focusing on the within countries patterns, we highlight some interesting findings. France, for instance, is in the lowest group for product innovation and in the highest for organizational. Germany is last for marketing innovation and among the last for product and process, gaining some position for organizational innovation. Finland is supreme for all types except type 3. Italy has a stable position for the four types. Belgium is very low in terms of product innovation and higher in terms of organizational.

In Fig. 4, we replicate the same exercise focusing only on micro firms. Except for Hungary, in all the countries the percentage of innovative enterprises exceeds 40 percent, suggesting active participation in innovation. The gap between the maximum (Romania) and the minimum (Hungary) value is around 30 points, still indicating a certain heterogeneity among countries.Footnote 9 Organization and marketing innovations show the largest ranges, while the geographical distribution seem to confirm a stronger activity of Easter Europe for product and weaker for organizational and marketing innovations than Western Europe. Overall, Fig. 4 documents the active participation of microbusinesses in innovation.Footnote 10

Fig. 4
figure 4

Notes: Authors’ calculations on SAFE data. The figure reports the weighted percentages of firms with fewer than 10 employees that introduced at least one innovation (a) and that introduced a product (b), process (c), organizational (d) and marketing (e) type in each country. The statistics refer to the five Common round waves from 2014 to 2018

Innovation activity by country — micro firms.

Figure 5 reports descriptive statistics related to our measure of competition. As panel (a) illustrates, almost 18% of the interviewed MSMEs over the 2014–2018 period declared a low level of competition (values 1, 2, 3), 47% medium (values 4, 5, 6, 7), and 35% high (values 8, 9, 10). Looking at the distribution by firm size category, the percentage of firms declaring medium and high values of competition increases with firms size, while it decreases for low values. This suggests that competition is seen as a pressing problem more by larger SMEs. It might also be a signal of a “niche effect”, whereby small businesses often enter niche markets that protect them from competition. Such findings seem to be confirmed by panel (e), where the weighted perceived average competition increases with firms’ size. This value does not differ markedly across sectors (panel f), with trade showing the highest level and services the lowest in almost all the categories (panel g). Looking at single countries (panel h), the average perceived competitive pressure shows a quite small range, varying from 4.93 (Croatia) to 6.81 (Cyprus). These quite homogeneous values can be partly explained by the fact that EU countries are subject to a common legislation on competition implemented at the European Union level. The map in panel (i) distinguishes four country groups: those with values from 4.9 to 5,7 (Croatia, Slovenia, Sweden, Czech Rep., Hungary, UK, Netherlands), 5.78–6.13 (France, Finland, Belgium, Estonia, Poland, Germany, Slovenia), 6.14–6.47 (Denmark, Bulgaria, Latvia, Luxembourg, Ireland, Austria, Italy), and 6.48–6.81 (Greece, Spain, Romania, Portugal, Malta, Lithuania, Cyprus). Overall, Southern European countries seem to perceive a higher (even though slightly) level of competitive pressure than Continental and Northern European ones.

Fig. 5
figure 5

Notes: Authors’ calculations on SAFE data. The figure reports weighted statistics about firms’ perceived level of competition: the full sample and subsamples distributions (ad), the weighted mean by size (e), sector (f), by sector and size (g) and by country (h and i). The statistics refer to the five Common round waves from 2014 to 2018

Perceived competition.

5 The relationship between innovation and competition

Statistics in section 4 document an active participation of MSMEs in innovation and show the non-negligible contribution of micro firms. We now want to address our second question about the relationship between MSMEs’ innovation and competition. In 2018, there were slightly more than 25 million of MSMEs in the EU-28, of which 93% were micro firms, and they accounted for 99.8% of all enterprises in the non-financial business sector (European Commission, 2019). Given the large number, the issue of competition should be relevant for this type of firm. To our best knowledge, evidence is ambiguous for SMEs, while completely missing for microbusinesses.

Figure 6 reports preliminary evidence about the relationship between competition and innovation in our sample. Panel (a) shows the percentage of innovative firms for different level of competition: low (values 1, 2, 3), medium (values 4, 5, 6, 7), and high (values 8, 9, 10). Panel (b) does the same for the three firms’ categories subsamples. The overall percentage of innovative firms initially increases and then it slightly declines, following an inverted-U curve. This trend seems to be confirmed for all the categories (panel b). Comparing the three curves, the turning point comes earlier for micro and small firms, where we also observe a steeper negative side. This suggests that, although the patterns look similar, the negative effect of competition on innovation arrives earlier and it is more marked for smaller enterprises. This preliminary evidence suggests the existence of an inverted-U-shaped relationship.

Fig. 6
figure 6

Notes: Authors’ calculations on SAFE data. The binned scatterplot in panel (a) reports the percentage of innovative firms for different level of competition: Low (values 1, 2, 3), Medium (values 4, 5, 6, 7), and High (values 8, 9, 10). Panel (b) does the same for the separate subsamples of micro, small, and medium firms. The statistics refer to the five Common round waves from 2014 to 2018

Competition and innovation.

5.1 Benchmark specifications

Equation (1) describes our baseline regression. The dependent variable is the dummy for innovative firms, equal to 1 if the firm has introduced at least one type of innovation. Following Askenazy et al. (2013), Peneder and Wörter (2014), Karaman and Lahiri (2014), Friesenbichler and Peneder (2016), Crowley and Jordan (2017) and Cornett et al. (2019), to detect non-linearities, we include both the linear and the quadratic terms of competition. The basic specification looks as follows:

$$ \begin{array}{@{}rcl@{}} Innov_{i,c,s,t} &=& \alpha + \beta_{1}Comp_{i,c,s,t} + \beta_{2}Comp^{2}_{i,c,s,t} \\ &&+ \beta_{j}X_{i,c,s,t} + \eta_{c} + \theta_{s} + \gamma_{t} + \epsilon_{i,c,s,t} \end{array} $$
(1)

Vector Xi,c,s,t contains a set of characteristics of firm i, in country c, sector s, at time t. It includes size, age, turnover, ownership type, legal status, and past growth.Footnote 11 We include sector dummies (𝜃s) to control for technological opportunities, as long as they are crucial determinants of firms’ innovative behavior and they can differ substantially across industries (Nickell, 1996). Country (ηc) and time (γt) dummies are also considered to eliminate unobserved heterogeneity across countries and time periods. Standard errors are clustered at the country level. Following Ayyagari et al. (2011), we estimate regression (1) using a logit model and a linear probability model (LPM) as validation test.Footnote 12 Table 1 provides preliminary estimates. Panel (a) reports the logit average partial effects (APEs); panel (b), the odds ratios; and panel (c), the LPM estimates. Columns from (1) to (3) consider the full sample, including neither firms controls nor fixed effects (col.1), firms’ controls only (col.2), as well as both firms controls and fixed effects (col.3).Footnote 13 Columns (4), (5), and (6) consider separately the subsamples of micro, small, and medium firms, respectively. All the specifications show a quadratic effect of competition on the likelihood of being innovative. The positive linear term and the negative quadratic one, both statistically significant, suggest an inverted-U relationship. The odds ratios go in the same direction. These findings hold for all the three firm category subsamples, including firms with fewer than 10 employees. For an initial low level of competition, the likelihood of being innovative increases with competition, while it slightly declines if the initial level is high.

Table 1 Innovation status

Thus, this preliminary evidence seems to support the findings of Scherer (1967) and Aghion et al. (2005). However, though necessary, a statistically significant coefficient of the squared term is not sufficient alone to establish a quadratic relationship (Haans et al., 2016), since it does not allow for reasonably rejecting the hypothesis that the true relationship is monotone. Lind and Mehlum (2010) propose a four-step procedure to test for quadratic relationships. In order to be reasonably sure that an inverted-U relationship exists, the following conditions must hold: (a) the squared coefficient must be negative and statistically significant; (b) the curve turning point needs to be located well within the data range; (c) the slopes at the lower and upper bound need to be significant and of the expected sign; and (d) the confidence interval of the turning point must be within the data range. Performing this test, we find that all the specifications satisfy these conditions. The turning point in the full sample is around 7 and it increases with firm size. This means that the negative effect dominates for high levels of competition and it arrives earlier for smaller firms. The lower and upper bound slopes suggest that the increasing side of the curves are steeper than the decreasing one.

5.2 Econometric issue: dealing with reverse causality

Our empirical approach involves methodological issues that might produce inconsistent estimates of the true relationship between innovation and competition or could affect the interpretation of the estimates. Competition and innovation are, indeed, mutually endogenous and dependent (Aghion et al., 2005; Hall & Harhoff, 2012). Reverse causality might then be a potential driver of endogeneity, with the perceived competition affecting innovation and vice-versa. Moreover, there is a period discrepancy between the two survey questions defining innovation and competition that might increase the overlap risk between the two variables: the former considers a 12-month period while the latter a 6-month period. Such simultaneity might introduce some bias in the estimation of the contemporaneous effect of competition on innovation. Removing this bias would have been possible through a suitable instrumental variable (IV) or exogenous shock, such as a policy change. Unfortunately, the dataset does not provide adequate firm-level instruments and we found no shocks affecting all the countries at the same time. Another strategy we can pursue to deal with reverse causality is to use past values of competition (Askenazy et al., 2013; Mulkay, 2019). Lagged values may not eliminate the simultaneity bias, but they allow to lessen it by estimating the impact of past exogenous values rather than the endogenous contemporaneous one (Reed, 2015). To do this, we isolate the panel component of the SAFE dataset and we restrict the sample to those firms interviewed at least twice over the period 2014–2018.Footnote 14 The result is an unbalanced panel of 43,961 observations, 16,524 (37.59%) for micro, 13,939 (31.71%) for small, and 13,498 (30.70%) for medium firms.Footnote 15 We then amend the baseline regression (1) by replacing the current values of competition with one-period lags:

$$ \begin{array}{@{}rcl@{}} Innov_{i,c,s,t} & = & \alpha + \beta_{1}Comp_{i,c,s,t-1} + \beta_{2}Comp^{2}_{i,c,s,t-1} \\ &&+ \beta_{j}X_{i,c,s,t} +\eta_{c} +\theta_{s} +\gamma_{t} + \epsilon_{i,c,s,t} \end{array} $$
(2)

Table 2 reports the logit APEs (panel a), the odds ratios (panel b), and the LPM estimates (panel c) of regression (2). It considers the full sample (col.1) and the separate subsamples of micro (col. 2), small (col.3), and medium (col.4) enterprises. Sectors, time, and country dummies are always included. Overall, Table 2 confirms previous findings. From the Lind and Mehlum test, we observe a general lowering of the turning points, mostly for micro and small firms, for which an increase in the slope of the negative side of the curve also occurs. As anticipated in panel (b) of Fig. 6, the negative effect of competition on innovation seems to come earlier and to be more marked for smaller firms.

Table 2 Innovation status — panel component

5.3 Further robustness

In Table 3 we provide further robustness.Footnote 16 Following Haans et al. (2016), we first add the cube term of competition to test whether the relationship is S-shaped rather than U-shaped (col.1). Second, we run two linear regressions on the sample before and after the turning point of the curve (col.2 and 3). As expected, we obtain a positive relationship between competition and innovation in the former, while negative in the latter. To check that the results are not driven by the most represented countries, we run model (2) excluding Italy, Germany, France, Spain, and Poland (col. 4). We also want to consider the fact that the rigorous policy interventions and the international financial aids addressed to Cyprus and Greece during and after the sovereign debt crisis might have altered firms’ innovative activity in these countries.Footnote 17 Finally, we want to be sure that the over-reported innovation activity in Romania does not affect our results. Thus, we exclude Greece, Cyprus, and Romania from the sample (col. 5). Overall, estimates in Table 3 confirm the evidence of an inverted-U relationship.

Table 3 Further robustness

We are aware that the proposed specifications, with the Lind and Mehlum test and the aforementioned robustness checks, do not guarantee a causal interpretation of the results. Nevertheless, our findings provide a first helpful contribution to assess the link between competition and innovation for MSMEs, including micro firms. Indeed, estimates suggest that the initial level of competition might determine the direction of the effect on small businesses’ innovation. Competition fosters innovation, but excessive competition might also hamper it. This is valid for all firms, regardless of the size, but the negative effect seems to come earlier for smaller firms.

6 Complementary analyses: innovation strategy and frequency of innovation

Thus far, we investigate the relationship between competition and firms’ innovation status, which is the likelihood to introduce at least one innovation. As a complementary analysis, we reproduced the same exercise for innovation strategy and frequency of innovation.

6.1 Innovation strategy

The four listed innovation types (product, process, organization, and marketing) have different characteristics and they emanate from distinct sources of knowledge (Demircioglu et al., 2019). As the Oslo Manual states in its 2005 edition, “It is not enough to know whether firms are innovative or not; it is necessary to know how firms innovate and what types of innovations they implement” (OECD, 2005, p. 13). The literature normally proposes two ways to distinguish innovation: on the one hand, between technical and non-technical as well as, on the other, between internal and external. Table 4 reports the pairwise correlation for the four types.

Table 4 Pairwise correlation — innovation types

All the coefficients are positive and significant at the 1% level. The highest correlations occur between product and process (technical innovations) and between organization and marketing (non-technical innovation). A non-negligible correlation also emerges between product and marketing (external innovation) and between process and organization (internal innovation). Past literature documents the existence of complementarities between innovation strategies, particularly for product and process innovations (Cabagnols and Le Bas, 2002; Martínez-Ros & Labeaga, 2002; Miravete & Pernias, 2006; Mulkay, 2019). Our results appear to confirm this.Footnote 18 Following Santos and Cincera (2021), we also distinguish between simple innovation (firms introduce only one type of innovation among the four listed) and complex innovation (firms introduce more than one type). As a measure of innovation complexity, we build a normalized firm-level indicator by summing the number of types introduced by the firm and dividing it by four (the total number). According to Table 5, the 23% of the surveyed firms developed a simple innovation strategy (one type only) and the 34% a complex one (more than one type). Concerning technical/non-technical and external/internal innovation, the percentages are quite similar. Figure 11 in the Appendix illustrates the average level of complexity by firm sector, size, sector and size, and country. Industry is the sector with the highest complexity index, followed by trade, services, and construction. Firms with fewer than 10 employees have an average index below, but close to, that of small- and medium-sized firms, or even equal in services sector. This suggests that the innovation divergence between micro firms and larger SMEs is limited not only in terms of being innovative, but also in terms of innovation strategy.

Table 5 Innovation strategy

Here, we want to explore whether the way competition affects innovation is unique or some differences occur depending on the class of innovation. As long as technical and external innovation are more visible and accessible, thus more imitable by competitors, we expect to find some differences. This should strengthen both the escape (positive) and the Schumpeterian (negative) effect. On the one hand, neck-and-neck firms must introduce more of these innovations to escape competition; on the other, laggard firms can more easily replicate the innovations of the leaders and, therefore, be less motivated to innovate by themselves. Thus, we expect to observe a steeper curve for these two innovation categories. We also want to see the impact on firms’ innovation complexity. Thus, in Table 6 we reproduce regression (2) by innovation class and complexity. Given the correlation between the four types of innovation (Table 4), the error terms of the regressions could also be somewhat correlated, introducing potential bias in the estimates. Following Demircioglu et al. (2019), we then estimate a seemingly unrelated regressions (SUR) model (panel b). Given the continuous nature, for the complexity index (col.5), we use OLS. Panel (a) of Table 6 seems to confirm our prediction. The size and significance of the coefficients suggest a stronger relationship between competition, technical, and external innovations. For these typologies, the lower and upper bound slopes of the curve look steeper than those of non-technical and internal ones. Innovation complexity (col.5) also increases initially with competition, then it declines slightly. The stronger relationship with technical and external innovations is also confirmed by the SUR model in panel (b), where the correlation matrix of residuals does not show worryingly high correlation values.

Table 6 Innovation typology and complexity — full sample

We replicate the same exercise focusing only on micro firms. Panel (a) of Table 7 shows that the inverted-U curve is there for all the innovation types and for the complexity index.Footnote 19 We also observe a general increase in the coefficient significance. Again, looking at the lower and upper bound slopes, technical and external innovations have a steeper positive and negative side of the curve comparing to non-technical and internal innovations. The size and significance of the coefficients are confirmed by the SUR model in panel (b). Overall, these findings suggest that the intensity of the effect of competition is not unique, but it varies based on the type of innovation.

Table 7 Innovation typology and complexity — micro firms

6.2 Frequency of innovation

We develop a second complementary analysis to study how perceived competition affects the frequency of MSMEs’ innovative activity. To do this, we further restrict our sample to those panel firms interviewed in at least three waves. After selecting three periods for those companies present more than trice, we obtain a weakly balanced panel with 19,970 observations. Firms appear the same number of times but not necessarily in the same years. With this restricted sample, we can observe the innovation status for a certain number of firms over time (at least three periods). We build a normalized index for the frequency of innovation by dividing the number of years in which the firm declared to be innovative by three (the total number of years in which the firm was interviewed).Footnote 20 Since this measure is an average value, to make things comparable we also compute the firm-average perceived competition level over the three years. Table 8 reports the number of enterprises that, at the end of the three-year period, have been innovative in zero, one, two, or three years. Although they are observed over a limited number of years and not necessarily in the same years, a certain heterogeneity in the frequency of innovation emerges.

Table 8 Frequency of innovation

Figure 7 provides preliminary evidence about the relationship between the frequency of innovation and the average perceived level of competition. As it emerges, the frequency initially increases with competition and then it slightly declines. We specify the new regression as follows:

$$ \begin{array}{@{}rcl@{}} Innov\_freq_{i,c,s,t} &=& \alpha + \beta_{1}Comp\_mean_{i,c,s,t}\\ && + \beta_{2}Comp\_mean^{2}_{i,c,s,t} \\ && + \beta_{j}X_{i,c,s,t} +\eta_{c} +\theta_{s}\\ &&+ \epsilon_{i,c,s,t}, \end{array} $$
(3)

where Xi,c,s,t is the usual firms’ controls vector, including the same variable of regressions (1) and (2). To account for unobserved heterogeneity, not only do we include country and sector fixed effects, we also cluster the standard errors at country level. Given the average dimension of the dependent and the main independent variable of interest, we only consider the end-period year and, thus, we do not include time dummies. We estimate regression (3) for the full sample (col.1) and for micro firms only (col.2) using OLS. Table 9 shows that, considering the full sample, for low starting level of competition, an increase in the perceived level of competition is positively associated with the frequency of innovation, while negatively when the starting level is high.Footnote 21 This specification is robust to the Lind and Mehlum test. Looking at the coefficients for micro firms, although they have the same signs as column 1, they are not statistically significant. This might be due by the limited number of observations and it suggests that the results for the full sample are mainly driven by larger firms.Footnote 22 Thus, at least for the overall sample of MSMEs, the estimates show that, together with innovation status and complexity, a non-monotone relationship in the form of an inverted-U curve occurs also between competition and frequency of innovation.

Fig. 7
figure 7

Notes: Authors’ calculations on SAFE data. The figure plots the frequency of innovation over competition. The statistics refer to the five Common round waves from 2014 to 2018

Competition and frequency of innovation.

Table 9 Frequency of innovation

7 Conclusion

Micro businesses are often considered to be marginal players in innovation. Due to the greater interest in large companies and the scarcity of comprehensive data, several aspects of their innovative behavior are still unexplored. This fact is surprising, as micro enterprises represent the largest share of firms in the non-financial business sector.

With this paper, we contribute to filling this gap by examining whether and how these companies innovate and by empirically investigating how competition affects their innovative activity. Exploring a large sample of small businesses across 28 European Union member states, we find that a non-negligible share of innovative firms have fewer than 10 employees. We also find evidence of an inverted-U-shaped relationship between innovation and competition, whereby when the latter increases, the former goes along if the initial level of competition is low, while it slightly declines if the initial level is high. The results hold for all firms regardless of their size, while some differences in the size of the effects emerge when we consider different typologies of innovation. Indeed, competition has a stronger relationship with technical and external innovation. In this regard, we contribute to reducing the knowledge gap between large and very small companies in terms of innovation by providing a first empirical exploration of the innovation-competition nexus for microbusinesses. By including them, we provide elements to the understanding of innovative patterns and activities in firms of all size.

We also know that the self-reported nature of the dataset we rely on, despite being unique in terms of micro firms coverage, raises some measurement concerns and that some important characteristics of innovation and competition are not considered. For instance, the survey does not allow for distinguishing between radical and incremental innovation or between ex ante/ex post and product/credit market competition, which would be interesting to include in future research. Moreover, the small panel component of the survey prevents us from developing a rigorous longitudinal analysis that establishes causation. A larger and strongly balanced panel would have also allowed to explore the effect of different lags of competition on current innovation. However, we are not aware of other dataset including such a large number of micro firms with explicit questions on firm-level innovation and perceived competition. Thus, although more details about innovation and competition for micro firms would be helpful to develop further analyses, we consider this paper to be a starting point for exploiting the available information. Indeed, our findings suggest that firms with fewer than 10 employees should be considered as relevant players in innovation and, therefore, included in innovation research. They could also provide interesting policy implications. As long as competition fosters innovation by small businesses, but excessive competition can hamper it, promoting well-balanced competitive markets appear crucial for enabling smaller firms to exploit their full innovation potential. Another implication is that small firms seeking the protection of a market niche to avoid competition and to have better chance of survival could see their innovative activity reduced. A strong protection from competition, when its starting level is not excessively high, can increase MSMEs lifetime, but also limit their innovation potential. This implies that a right balance between survival needs and innovation growth should be pursued by small businesses’ entrepreneurs and promoted by policy makers. Moreover, our findings imply that policies aimed at supporting microbusinesses’ innovation should take into account that the intensity of the effect of competition is not unique, but it varies according to the different types of innovation. Deepening how the competition-innovation relationship varies with innovation types might represent a further stimulating goal for future research. Finally, our analysis is limited to the EU economy. It could be explored whether similar or different findings emerge for other regions or countries.