1 Introduction

Since endogenous growth theories challenged the neoclassical theory of Solow (1956), stating that national policies can be one of the factors that have implications for long-run growth (e.g. Barro (1990), Devarajan et al. (1996)), numerous empirical studies have tried to come up with conclusive evidence of this. Basically, investigations of government policy have led to the categorization of productive and unproductive state expenditures and the respective structures of taxes. Approaches varying in the specification, the method and the country selection have resulted in a wide array of observations concerning the impact of public policy on growth and do not allow for a general conclusion on government activity (see, e.g., Nijkamp and Poot (2004), Tabellini (2005)).

While it is certainly true that some categories of government spending (taxation) are more likely to support (distort) long-term growth than others, the empirical investigation of government activity in growth empirics based on specific government budget categories may be misleading because government activity usually comes as a package. This implies that the overall mix of spending and taxation matters for the growth implications. In addition, government activity covers more than spending because government regulations may be complements to or substitutes for budgetary action. Hence, a look at the implications of the overall package of government activity seems to be worthwhile.

This paper provides a novel contribution by dissecting different patterns of government activity. We also suggest that a proper consideration of the institutional framework is of importance when analyzing the growth implications of overall government activity:

  • We hypothesize that the impact of government activity on growth depends on institutional complementarities, as given by a country’s economic system. Institutional complementarities described in the Varieties of Capitalism (VoC) literature (e.g. Hall and Soskice (2001)) predict different roles for governments in Liberal Market Economies (LMEs; mainly the Anglo-Saxon countries) and Coordinated Market Economies (CMEs; mainly the Scandinavian and Continental European countries). While this theory focuses in the first place on regulations, the literature on Worlds-of-Welfare-States (e.g. Esping-Andersen (1990); Amable (2003)) provides an extension to government spending and taxation. We attempt to provide a first test on the relevance of this literature in determining the growth effects of overall government activity.

  • We also hypothesize that the quality of institutions is important through government activity. The literature on institutions and growth is rather conclusive on the positive role of better institutions (see, e.g., Rodrik et al. (2004), Acemoglu et al. (2006)). Government activity is embedded in a framework of institutional constraints, and the effectiveness of government policy as well as the innovative capabilities of an economy depend on the institutional design (Acemoglu et al. (2001), Hall (2001)). However, indirect effects of institutions through government activity are not explicitly tested for and important information on the role of economic development and location-specific context is excluded by the limitation of samples to developed or developing nations (Rodrik (2008), Bose et al. (2007)). We attempt to provide an empirical test based on a worldwide sample, in which we allow for the direct as well as the indirect effects of institutions.

Hence, we argue that the institutional framework has to be included in any analysis of the impact of government activity on economic growth. Our paper hypothesizes that the impact of overall government activity on growth is conditional on the quality of the institutions and differs between clusters of countries characterized by different economic systems. If one size of government activity is actually unlikely to fit all, this may explain the inconclusive results from empirical research on the growth effects of government policy.

The rest of this paper is organized as follows. In order to detail our hypothesis, Section 2 provides an outline of the literature; Section 3 discusses the empirical framework and presents the results; Section 4 presents our conclusions. We are able to show that the impact of government activity on growth is (i) inverse u-shaped with low impact at the extreme ends, (ii) increases with the quality of institutions, and, most importantly, (iii) depends on institutional complementarities. Polar cases of LMEs and Scandinavian CMEs exhibit the highest growth rates but this is reached by above-average government activity in CMEs and below-average government activity in LMEs. To some extent, the same divide is evident between developing and Eastern European countries.

2 Government, institutions and growth

Easterly and Levine (2002) summarize the findings of the first wave of empirical papers on endogenous growth following first versions of Barro and Sala-i-Martin (1992) and Mankiw et al. (1992) and provide evidence on national policies’ influence on productivity and long run- growth. They already adopt a rather broad view of government activity when discussing its impact on economic growth.Footnote 1 Nevertheless, later papers look rather into details than at the broad picture. At least, two strands of the literature focus either on expenditure/taxation or on regulation.

With respect to government expenditure and taxation, theory predicts a formal categorization into (non-) productive expenditures and (non-) distortive taxes, and studies have found supporting evidence of this theory-based approach (Kneller et al. (1999), Angelopoulos et al. (2007)).Footnote 2 The positive contribution of expenditure on education and infrastructure is also commonly identified as growth-enhancing (Easterly and Rebelo (1993), Blankenau et al. (2007), Bose et al. (2007), Gemmell et al. (2009)), but Nijkamp and Poot (2004) show in their metastudy that results vary a lot, depending on the model specification, the country sample and the econometric methodology. For developing countries, capital expenditure is considered the mainstay of development (Gupta et al. (2005), Bose et al. (2007)), but expenditures may be too excessive, turning the evidence around (Devarajan et al. (1996)). Despite the introduction of more sophisticated methods, and accounting for the offsetting effects of taxation, the evidence has not become more conclusive on budgetary government activity and growth (Nijkamp and Poot (2004)).

With respect to regulation, Schumpeterian models of endogenous growth show how different forms of competition and entry regulations can benefit countries that are at different stages of development. The effects of deregulation on efficiency are ambiguous. Aghion et al. (2005) and Alesina et al. (2005) show that deregulation leads to greater investment. However, according to Acemoglu et al. (2006), the appropriate regulation depends on the position of a country in relation to the world technology frontier and, hence, on the level of development. At the frontier, innovation requires open systems, while imitation requires regulations of competition in order to generate the necessary dividends for investment. Indeed, the necessary change from investment to innovation-appropriate institutions to avoid a growth trap depends on the vulnerability of politicians to bribery, which is similar to political economy arguments on growth-hindering effect of “bad” institutions. In the same vein, Rodrik (2008) argues for developing countries that export subsidies and tariffs may help achieve efficient outward orientation (see also Freund and Bolaky 2008).

Hence, the literature on spending and regulation is not conclusive with respect to the overall effect of government activity, and there are authors who suggest the quality of institutions as the factor conditioning the effects on growth. Tabellini (2005), for example, argues that the inconclusiveness stems from the fact that it is a question of the political purpose or, more specifically, of the quality of government. Despite the fact that institutions are shown to have a positive direct effect on growth,Footnote 3 the quality of government is decisive for the efficacy of public policy, which is shown to be positively significant in relation to public spending on health and education (Rajkumar and Swaroop (2008)), to government spending in general (Cooray (2009), Oto-Peralías and Romero-Ávila (2013)), regulation (Jalilian et al. (2007)) and consumption expenditure in developing countries (Butkiewicz and Yanikkaya 2011).Footnote 4

Persson et. al. (1997; 2000) and Persson and Tabellini (1999) show that more competition between policymakers leads to more efficient government. However, their conclusion that the level of political accountability is negatively related to the provision of public goods and social services may have to be qualified when widening the perspective towards developing countries. Elites in autocratic regimes may instrumentalize the provision of public goods in order to stabilize their power base (Acemoglu and Robinson (2006)). However, in a semi-democratic context they may also have incentives to limit parliamentary power by restricting public spending (see, e.g., Shugart and Haggard (2001)). Hence, rather independently from categories of government activity, over- as well as under-spending and -regulation are possible in the case of bad institutions. Indeed, Plumper and Martin (2003) observe an inverse u-shaped relationship between democracy and growth. In their model, an opportunistic government chooses an optimal level of rent and public goods provision for political support under the constraint of different democratic regimes. Hence, political economy arguments suggest that better institutions improve government effectiveness but that this is limited by a u-shaped relationship because of tendencies toward overspending and overregulation.

In contrast to the literature on institutions and growth, the literature on economic systems focuses rather on the consistency of alternative approaches than on differing growth effects. As described and analyzed with the VoC approach (see, e.g., Hall and Soskice (2001)), different market regimes, i.e. capitalist variation, are characterized by different institutional matrices in the economy.Footnote 5 These institutional environments and arrangements provide incentive structures for the behavior of firms, households and policymakers. Moreover, these different institutional settings reflect, influenced by distinct incentive patterns, different economic and societal preferences with respect to the role of the government in the economy.

The VoC literature classifies market economies into two polar types of capitalism. In liberal market economies (LMEs, mainly Anglo-Saxon countries), coordination is primarily characterized by price signals and formal contracting in competitive markets. By contrast, coordinated market economies (CMEs, mainly Scandinavian and Continental European countries) are largely driven by specific non-market institutions which play critical roles and influence processes of strategic interaction. This analytical division is conceived as a bipolar continuum on which countries cluster into these broad categories. What matters for growth effects in this framework is the consistency.

Only a few papers have begun to widen the focus from regulations to a broader understanding of government activity. Amable and Azizi (2011) and Schustereder (2010) observe that LMEs usually exhibit more limited social protection, while CMEs and particularly social-democratic (Nordic or Scandinavian) welfare regimes provide significantly more generous social protection, both in kind and in monetary terms. The link is provided by the interplay between labor market institutions and the welfare state (Amable and Azizi (2011)). The competitiveness of LMEs relies on activities which require workers to acquire general skills. Because of these non-specific skills, workers are understood to switch relatively easily between jobs. Hence, there is no specific need for protection. On the other hand, the competitiveness of CMEs is typically based on activities which favor the appropriation of firm- or sector-specific skills. In such an environment, a generous social protection system may act (ex-ante) as an incentive for workers to acquire the required specific skills.

More generally, the related literature on the world of welfare states inspired by the seminal work of Esping-Andersen (1990) can be integrated into a broader picture of economic systems (see, e.g., Amable (2003)). Following the line of argumentation of Hall and Gingerich (2009), government activity, i.e. spending and regulation, has to be consistent (‘complementary’ in the wording of the VoC literature) in order to achieve innovation and welfare. Indeed, the implications for potential growth in economic systems started to feature in the literature on economic systems:

  • The process of innovation is a core characteristic of endogenous growth models. Acemoglu et al. (2012) assume that fluid labor markets, flexible equity markets and the market orientation of firms in LMEs are highly conducive to radical innovation, while training systems and dense networks provide what is required to support incremental innovation in CMEs. They model an asymmetric world equilibrium in which globalization allows CMEs to benefit from innovation in LMEs and to end up with higher welfare. However, empirical studies suggest that the process of innovation follows comparative advantages, with CMEs being advantaged in medium high-tech and disadvantaged in high-tech, as compared to LMEs (Schneider and Paunescu (2012)).

  • The conduciveness to growth in economic systems is tested on the basis of political economic models. Hall and Gingerich (2009), in what is probably the closest to our study, implement a growth regression. They detect a u-shaped relationship between regulatory complementarities and growth, with the highest growth effect for the highest and lowest levels of coordination. However, they do not extend this analysis to government spending, nor do they explicitly consider the fact that belonging to a cluster may moderate the growth effects of government activity in general. The empirical literature on VoC is still relatively new, and existing studies offer contradictory results. For example, the study by Kenworthy (2006) finds little support for the growth effect of institutional coherence.Footnote 6

Overall, the literature suggests that ‘government activity’ does not mean the same in different economic systems and that the impact of the same level of activity on growth may differ. Hence, our approach in analyzing the role of government is to allow both the quality of institutions as well as institutional complementarities, i.e. the type of economic system, to moderate any growth effect of government activity. As will be shown in Section 3, this allows for more conclusive results on the growth impact of government activity without disaggregating government activity into budgetary or regulatory items.

3 Empirical framework and results

3.1 Econometric methodology

In order to test our hypothesis on the relevance of economic systems and institutional quality to the effectiveness of government activity, we use panel data for OECD and developing countries, described in the next section, to implement growth regressions. The pooled regression approach assumes equal and stable production functions for all countries. As a first step, a test for the stability of the regression functions over time rejects the hypothesis of no time effects. This implies that both Pooled OLS (POLS) and Fixed Effects with time effects (FE) should be implemented.

Testing the relevance of economic systems, which are assumed to be stable over time, requires adopting the POLS model. The POLS model

$$ {\gamma}_i=\beta \log \left({\widehat{y}}_i(0)\right)+\psi {X}_i+{a}_t+{\varepsilon}_{it}, t = 1,2,\dots T $$
(1)

contains the endogenous variable GDP per capita growth rate γ i , the initial level of GDP per capita \( {\hat{y}}_i(0) \), the exogenous variables X i , the time fixed effect a t and the error term ε it . For a consistent estimation by OLS the orthogonality condition must be satisfied.

$$ \left({X}_{it}\hbox{'}{\varepsilon}_{it}\right)=0,t=1,2,\dots T $$
(2)

However, the assumption of an uncorrelated error in the same time period as the regressors is often hardly valid so that an omitted variable bias might be expected. Indeed, the Hausman test confirms the advantage of the fixed-effects against the random-effects estimation by rejecting the hypothesis of no correlation between the regressors and the individual effects. Footnote 7

In a fixed effects model

$$ {\gamma}_i=\beta \log \left({\widehat{y}}_i(0)\right)+\psi {X}_i+{a}_t+{u}_i+{\varepsilon}_{it},t=1,2,\dots T $$
(3)

u i is the country fixed effect, and the strict exogeneity assumption of the explanatory variables conditioning on a i ,

$$ E\left({\varepsilon}_{it}\left|{X}_i,{a}_i\right.\right)=0,t=1,2,\dots T $$
(4)

holds. The fixed effects estimation uses the within-transformation to deal with biased and inconsistent POLS due to the correlation, albeit at the cost of eliminating all time-invariant variables.

We argue that the heterogeneity in the POLS model is not treated as unobserved, as in the fixed effects model, but biases associated with omitted variables are alleviated by including regional dummies. This substitution of country-specific intercepts allows a retaliation of the between variation and provides information about the sources of growth differences (Durlauf et al. (2005)).

Nevertheless, we check for robustness by estimating a basic model without regional dummies using both FE and POLS, while we refer to POLS when estimating an extended model with regional dummies. We are able to show that the basic model is robust with respect to the estimation method and also when extended by regional dummies. Hence, a potential omitted variable bias should not be relevant to the growth regressions implemented in this context.

To increase the robustness of our findings, we considered some regressors, namely investment and FDI, to be endogenous and implemented 2-stage least squares as robustness checks. Since the results did not change to a significant degree, the detailed findings along with other robustness checks are provided in Appendix 1.Footnote 8 Panel-corrected standard errors are implemented in all versions of the econometric model to account for the prevalence of heteroskedasticity and serial correlation. As shown in the following, our findings are remarkably robust with regard to different estimation techniques (Table 1).

Table 1 Data description and sources

3.2 Data and empirical specification

The panel comprises 111 countries. The observations for the years 1971 to 2010 are averaged over 5-year periods to take account of business cycle volatility. A full data overview is provided in Table 2. As described above, we start with a basic model for testing using an FE estimator with time effects and POLS. This model allows for a first test of the effectiveness of government activity, considering the impact of institutional quality as well as non-linearities.

Table 2 Government activity, institutions and growth – basic model (fixed effects with time effects and pooled OLS, 1971 – 2010)

The basic model is shown in Eq. (5):

$$ \gamma ={\beta}_0+{\beta}_1\cdot pol+{\beta}_2\cdot fraser+{\beta}_3\cdot fraser2+{\beta}_4\cdot pol* fraser+{\beta}_6\varPsi $$
(5)

With respect to government activity, we applied the following definitions and assumptions:

  • fraser is the sum of government size and regulation, obtained from the Economic Freedom of the World index (EFW) of the Fraser Institute (Gwartney et al. (2012)). A high value of fraser represents an economy with a low level of government interference. The inclusion of a squared term of fraser (fraser2) allows for a non-linear relationship between government activity and economic growth. The index covers a large cross-country selection and is based on the compilation of scores and data from various established sources. The score for government size is a composite of the subcategories of government consumption, transfers and subsidies, government enterprises and investment and the top marginal income tax. The score for regulation is a composite of the subcategories of credit market regulation, labor market regulation and business regulation. In each category, the indicators evaluate government size and regulation on a scale from 0 to 10, with 10 reflecting the least interference in the economy. Hence, the values for overall government activity measured by fraser range from 0 to 20.

  • pol is the Polity IV index, measuring the quality of democracy. We take this as an indicator of the quality of institutions in general. This is necessary because more comprehensive and internationally comparable measurements of institutional quality, such as the World Bank Governance Indicators, have been available only since the mid-1990s. It has been shown, however, that components of institutional quality are highly correlated (see, e.g., Kaufmann et al. (2007)). We expect higher-quality institutions to have a positive impact on growth. The source of the variable is the Polity IV Project, which provides the combined Polity Score. It is a combination of scores for democracy and autocracy and runs from 0 for completely autocratic regimes, i.e. the worst quality of institutions, to 20 for perfectly democratic regimes, i.e. the best quality of institutions. In line with the literature, this variable has to be assumed to be potentially endogenous. Therefore, we consider both the original variable and, as an alternative, the residual of pol regressed on income, i.e. pol_res. Footnote 9

  • pol*fraser is the interaction of fraser and pol, and accounts for the effect of institutions on government policy. We assume that a higher institutional quality implies a more effective government activity.

The variable Ψ comprises various other factors which represent a standard set of economic controls. log (GDPpcini) covers the generally-observed catch-up process of poor countries, and we expect the convergence factor β 6 to be negative for the implication of convergence. Population growth popg, investment gfcf as gross fixed capital formation in percentage of GDP, as well as foreign direct investments FDI as a percentage of GDP are internal and external economic factors and we expect them to be growth-enhancing. The same effect is predicted for the openness variable open_res, which is cleared for country size effects by regressing the trade-to-GDP ratio on population size.Footnote 10 The inflation measure inf acts as a proxy for macroeconomic stability and is obtained from the WDI database, while the indicator for financial crises fin_cr is compiled from the Laeven and Valencia (2012) database on banking crises and takes a value of 1 for a year in which banking crises occur. Both inflation and financial crises should exhibit negative influence on growth.

The extended model to be estimated with POLS examines the complementarity of government activity within clusters.

$$ \gamma = {\beta}_0+{\beta}_1\cdot fraser+{\beta}_2\cdot cm{e}_{all}+{\beta}_3\cdot li{b}_{all}+{\beta}_4\cdot li{b}_{all}\cdot fraser+{\beta}_5\cdot cm{e}_{all}\cdot fraser+{\beta}_6\varPsi $$
(6)

The model includes dummies representing regional clusters of different economies.

The cluster dummies are determined on the basis of an extended VoC approach (see Amable (2003) and Bohle and Greskovits (2012)). The composite dummy for LME (lme_all) and CME (cme_all) shown in Eq. (6) is based on clusters allowing for a high extent of heterogeneity within clusters. We also implement variants of Eq. (6) with the disaggregated clusters. Following Amable (2003) and Bohle and Greskovits (2012),

  • cme_all consists of Scandinavian European countries (nordic), mixed market economies of Southern Europe (mme), Continental European countries (cont), CME Eastern Europe (cme_ee);

  • lib_all consists of liberal countries (lib) and liberal Eastern European countries (lib_ee).Footnote 11

Other countries are clustered according to geographic region (Latin, Asia, Africa) because as yet no papers are available which analyze a clear convergence towards OECD clusters. The interaction of the regional dummies with government activity, e.g., lib_all*fraser and cme_all*fraser in Eq. (6), aims to identify the different growth effects of government activity in the two different clusters. According to the complementarity argument, we expect CMEs to require a large State role to ensure efficiency, innovation and growth in the economy, while a small government is coherent within the institutional regime of LMEs.

3.3 Econometric results

Our approach in the econometric analysis of government activity is based on a general-to-specific method. We begin by including all relevant variables, then remove, step by step, the least significant, until we are left with only significant variables. The regression results for the basic model are presented in Table 2 for both FE (Eq. 1 and 2) and POLS (Eq. 3 and 4) estimations. The coefficients of the standard growth factors are in line with the theoretical and empirical predictions and are stable throughout variations in the econometric model. The coefficient of the initial level of GDP per capita is consistently negative and significant, which indicates a catch-up process in poor countries. Population growth has a positive impact on economic growth, and countries which enjoy a high investment rate exhibit a considerable advantage in growth rates. As expected, a higher level of inflation, signaling macroeconomic instability, has a diminishing effect on growth, and, correspondingly, the emergence of financial crises leads to a reduction in growth. Regarding the external factors, we find that trade openness, after accounting for size effects, exhibits a positive effect on growth, as does the inflow of FDI.Footnote 12

The results for the growth effect of government activity are in line with our hypothesis that the relationship is u-shaped and that institutional quality matters. As is revealed by the positive coefficient of fraser and the negative coefficient for fraser2, the growth effect of government activity follows an inverse u-shaped function, i.e. it decreases towards extreme ends on both sides. Not considering the influence of institutions, to be discussed below, the maximum impact (based on the point estimates) ranges between fraser values of 8.1 (Eq. 3) and 10.5 (Eq. 4). In the latter case, the u-shape is almost symmetrical with respect to the possible values of fraser, and the growth impact ranges between 0.9 percentage points at the (theoretical) extremes and 5.0 percentage points at the maximum. In the case of an asymmetric u-shape, as in Eq. 3, the implication would be of a negative growth impact for extremely small governments (high values of fraser).

Interestingly, government activity, measured by the sum of government size and regulation, is higher than 9.0 for the most recent year. This implies that, nowadays, almost all countries fall within a certain range, where a higher level of government activity would rather improve growth performance. Looking at countries representing the traditional VoC cases of LME and CME, even Sweden, with a fraser value of 12.0, could not be blamed for running a government that is too large, concerning the growth impact. Other countries, like Germany (13.0), the US (14.7) and Singapore (17.1), have lower government activity compared with Sweden. However, not considering the impact of institutions, would lead to biased conclusions.

Indeed, the basic relationship is modified by institutional quality and its interaction with government activity (Table 2). We test the two versions of our polity variable pol and its residual, not explained by the income level, pol_res. A first important result is that we do not observe a direct positive effect of institutions on growth if we model government activity allowing for non-linearity and interaction with institutions. However, the positive coefficient of the cross-term indicates that, for any given value of fraser, good institutions do increase the growth effect of government activity.

In addition, this shifts the u-shaped growth impact discussed above. Taking the point estimates from Eq. 3, which is run with initial values for pol, the level of government activity that allows for the maximum growth impact lies at a fraser value of 10.1 for countries with an institutional quality at the mean value of the score (pol = 10) and at a fraser value of 12.0, i.e. lower government activity, for countries with the best score for institutional quality (pol = 20). The fact that, at the same time, the growth impact increases from 4.5 to 6.5 percentage points implies that government activity in well governed countries is clearly more effective.

The insights gained from the basic model remain valid when we extend it to include regional dummies representing groups of countries with similar economic systems. As shown in Table 2, the results are slightly more stable when comparing the FE and POLS estimations for the pol_res variable, which, at the same time, avoids potential problems with the endogeneity of the variable. Hence, we rely on this variable in the following, when examining the regime-specific effects of government activity. The results are given in Table 3.

Table 3 Government activity, economic systems and growth – extended model (fixed effects with time effects and POLS, 1971 – 2010)

As a first result, splitting the OECD sample countries into the broad categories of liberal (lib_all) and coordinated (cme_all) countries does not yield a significant coefficient for the dummies (Eq. 1). This is an indication that clustering all countries into only two broad categories is not appropriate because heterogeneity with respect to the growth impact of government activity within clusters is too high. This changes, however, when we reduce the heterogeneity of country clusters. Most importantly, nordic (Scandinavian countries) and lib (Anglo-Saxon countries) do in fact also create extreme cases with respect to the effectiveness of government activity (Eq. 2). nordic countries reveal a higher average growth rate (positive coefficient for nordic), but a lower impact of government activity on growth as compared with the sample average (negative coefficient for nordic*fraser). The reverse is true for the lib countries. It is important to note that these regional effects are relative because the overall coefficient of fraser, including the region-specific difference, remains positive and, hence, the basic u-shaped relationship discussed above remains in place.

This result is confirmed by including other groups of countries, as we do in Eq. 3 and 4.Footnote 13 In addition, Eq. 3 shows that the Continental European countries (cont) are strikingly different from the Scandinavian countries. They experience lower average growth but no significant balancing effect through government activity. Eq. 4 even shows that this is quite similar to the performance of Southern European countries (mme), which are marked as inconsistent by the traditional VoC literature. While this does not prove the optimality of the nordic model, it is in line with the fact that Scandinavian countries are able to combine equity and innovation with a lower level of regulation as compared with Continental European countries. Looking at Eastern Europe, the countries with a more liberal economic system require relatively less government interference for more growth, which is quite similar to the performance of the lib countries. Again, this confirms our priors with respect to the differences in economic systems.

As regards the other regional clusters, we observe that the institutional structures of the African and the Latin American groups are coherent with less government activity, and in the Asian group we find a positive growth effect in general. Except for the fact that we do not find a positive coefficient for asia_fraser, these results indicate that Asian countries tend rather towards a CME role model, while African and Latin American countries are more similar to the LME role model. Yet, as argued above, the literature on economic systems in developing countries does not yield deeper insights and future research would have to confirm our tentative results in this respect.

If we look at the region-specific growth impact, i.e. regional dummies, government activity and the related cross-terms, for the two role models of nordic and lib (point estimates taken from Eq. 2), results in maximum growth effects for fraser values of 6.7 (nordic) and 13.3 (lib), while the maximum of the full sample is at 10.4.Footnote 14 Again, government activity in the US (14.7), and especially in Sweden (12.0), seems to be too low rather than too high. However, the negative value for nordic*fraser implies that the growth impact in nordic countries is less sensitive to variations in government activity. Indeed, the resulting growth impact for the two countries is rather similar: 5.2 percentage points for Sweden vs. 6.0 for the US in the most recent values of fraser.

Of course, calculations neglecting confidence bands based on results from a highly stylized model do not allow for straightforward policy conclusions. However, there is no indication that overall government activity is too high or even produces a negative contribution to economic growth. Rather, the opposite seems to be true. In addition, optimum government activity with respect to its impact on economic growth is strikingly different in clusters of countries characterized by different economic systems.

Overall, we provide a model of general government activity which considers spending as well as regulation, a non-linear growth effect, the impact of institutional quality and, most importantly, the role of institutional consistency as reflected in economic systems. The results are highly robust with respect to the implementation of fixed effects or pooled OLS estimators. The results are also consistent with the basic explanatory factors traditionally employed in growth models. This also holds for robust checks considering potential endogeneity problems in the underlying growth model.

Our findings are remarkably congruent with our predictions of the role of government activity within different institutional structures. We observe that institutional quality increases the effectiveness of government activity and acts as a requirement for the positive growth effects of government policy. In addition, in line with the results of Hall and Gingerich (2009), growth effects depend on compatibility with institutional design. In particular, the distinct clusters of nordic and lib countries reflect a clear comparative institutional advantage. Despite their differing institutional structures and the varying roles of government policy, the induced incentive structures produce quite similar growth effects, which are superior to those in other clusters.

4 Conclusion

We have argued that the literature on the impact of government spending on growth has neglected the quality and variety of institutions under which policies are implemented, and have provided robust evidence that the effect on growth of government activity through both regulation and government size depends on the institutional structure.

From a panel of 111 OECD and developing countries covering the years from 1971 to 2010, we confirm that government activity, broadly defined, has a positive impact on growth. The growth impact is inverse u-shaped and ranges between 1 (for the theoretical extremes of government activity) and about 5–6 percentage points (at the maximum) if the impact of institutions is not considered. This growth effect increases with the quality of the institutional environment. This result is even slightly more robust when considering the quality of institutions above what would be expected, given the level of development, which rules out endogeneity effects. For the whole sample, the maximum is reached at a level of government activity, which almost all sample countries do not reach nowadays. Hence, there is no indication that government activity is too high.

In addition, government activity has a varying effect in different institutional settings. The observation of a congruence of less government activity for the institutional structure of Liberal Market Economies (LMEs) and of more government activity for Coordinated Market Economics (CMEs) follows the predictions of an extended theory on varieties of capitalism (VoC). The finding of the best growth performance for LME and Scandinavian CME countries and the observed most distinguished role for government activity in these two role models supports the notion of the complementarity of government policy. For the Scandinavian CMEs, the maximum impact of government activity on growth is found to be above sample average while it remains clearly below for the LMEs. At the same time, growth is found to be less sensitive with respect to variations in government activity in the Scandinavian CMEs.

Overall, the results support the hypothesis that one size of government is unlikely to fit all, a fact which may explain the inconclusive results in the literature on government effectiveness, which neglects the effects explicitly modeled in our paper. A high level of government activity is more likely to enhance growth effects in economic systems consistently built on the basis of a strong government role. In this context, it is quite striking that the growth performance of Continental European countries is rather similar to that in Southern European crisis countries, which have been marked in the literature as inconsistent and likely to perform worse than both LME and CME types of regimes.

Our results also raise various issues for future research. Firstly, the reasons for the different extents of government activity and the stability of regimes need to be elaborated. In particular, the interplay between political regimes, institutional structures and the structural conditions and interests behind the evolution of economic systems deserves more attention. Secondly, the relationship between economic systems and economic development also needs to be looked at more closely. With regard to the growth impact of government activity, there is obviously a divide between a group of Eastern European and Asian countries, which perform similarly to the CME role model, while less advanced Eastern European, African, and Latin American countries rather follow the LME role model. Hence, the role of institutional development and government activity in economic development needs to be modeled more explicitly.

Finally, the fact that Scandinavian and Anglo-Saxon countries exhibit similar growth effects raises the question of potential trade-offs. Growth performance only provides a first approximation of the well-being of citizens. A thorough evaluation would provide an endogenous variable that includes information on the social safety net, the welfare state and the distribution of income. The results from the Scandinavian countries rather suggest that there need not be a large trade-off when trying to achieve growth and equity. An endogenous variable covering multiple targets might even reveal a superiority in high but efficient government activity.