Representation and Policy Responsiveness: The Median Voter, Election Rules, and Redistributive Welfare Spending Shin-Goo Kang Korea University G. Bingham Powell Jr. University of Rochester Many economic and social conditions shape public welfare spending. We are able to show, however, that after taking account of these conditions, the expressed left-right preferences of the median voters significantly affect comparative welfare spending. These new findings support the representational claims of liberal democracy and the theoretical expectations of the literature on ideological congruence. However, we also show that insofar as the preferences of citizens and the promises of governing parties (which are highly correlated,) can be disentangled, it is the former that affect the long-term redistributive welfare spending equilibrium, while the latter have small, but significant shortterm effects. Surprisingly, despite greater representational correspondence between positions of voters and governments under PR than SMD, the impact of the median voter preferences is quite similar under the two systems. W e are accustomed to identifying liberal democracy by a process: competitive elections systematically producing representative governments. A great deal of research in political science has been devoted to illuminating elements in that process. Much progress has been made in showing how voters, party competition, election rules, and government formation shape political representation. But liberal democracy promises substance as well as process. As both a normative and an empirical theory, the process is supposed to deliver public policies that the citizens want. Under a democratic government ‘‘a majority of citizens can induce the government to do what they most want it to do and to avoid doing what they most want it not to do’’ (Dahl 1989, 95.) Analyses of representation and responsiveness have seldom attempted to bridge this final gap between citizens and substantive policies. In this paper we show that in at least one major policy dimension, redistributive welfare policy, the preferences of the citizens did significantly shape government spending in the Western industrialized democracies between 1960 and the early 1990s, as we would expect from the literature on ideological congruence. The impact of the median voter emerges even controlling for social and economic context and changing conditions that also affect redistributive welfare spending in major ways. These results are encouraging for the basic promises of liberal democracy.1 Why the Median Voter Should Matter for Policy Outcomes Studies of ideological representation have clearly articulated a theoretical structure connecting the ideological position of the median voter and the committed ideological position of the policymaking government in developed parliamentary democracies. Early versions of this theoretical construct can be found in Huber and Powell (1994) and Cox (1997, chap. 12). The connections are argued to work through somewhat different mechanisms of party competition and government formation in democracies 1 An online appendix for this article available at http://journals.cambridge.org/JOP contains detailed discussion of variable construction and statistical analyses. Data and supporting material necessary to reproduce the numerical results in the paper are available at http:// mail.rochester.edu/collegefaculty/gpowell/webpage_210.htm. The Journal of Politics, Vol. 72, No. 4, October 2010, Pp. 1014–1028 Ó Southern Political Science Association, 2010 1014 doi:10.1017/S0022381610000502 ISSN 0022-3816 representation and policy responsiveness 1015 with single-member district election rules than in democracies with proportional representation rules and their associated party systems. But both mechanisms theoretically link the median voter to the campaign promises articulated by the party or parties in government. The governing parties are then expected to carry out policies consistent with these promises. At least in the time period of our study (1960–91) redistributive welfare policies constituted an important part of the discourse of left-right ideological competition. In the single-member district systems the number of parties is reduced (Duverger’s Law) and Downs’s (1957) theory of two-party convergence to the median voter leads to the expectation that a party close to the median voter will receive a parliamentary majority. This party then forms a government and, under close scrutiny from the electorate, which can clearly assess its accountability in keeping its promises, carries out its promised policies, which are favored by the median voter. In the PR systems more parties compete and, given the accurate vote-seat correspondence generated under PR in developed democracies (Lijphart et al. 1994; Rae 1967) the ideological range of the citizens is reflected into the legislature. The median legislative party is close to the position of the median voter. As no party has received a majority, postelection bargaining results in coalition (or minority) governments. The legislative median party is advantaged in coalition bargaining and is usually included in the coalition government, (Laver and Schofield 1990, 113) thus also linking the new government and its policies to the median voter. Thus, through the processes of party competition, representation and government formation we expect: The representation literature is divided on whether majoritarian or PR systems should be expected to generate governments closer to the median voter, or whether each should be equally effective. (See, e.g., Powell 2000 versus Blais and Bodet 2006 or Golder and Stramski 2007.) Cox (1997) argues that it depends on where in the competition and formation stages we are more likely to find ‘‘coordination failures.’’ Empirical studies are also divided. In the time period that we are examining, at least, the PR systems seem to generate governments closer to the median (Huber and Powell 1994; McDonald, Mendes, and Budge 2004; McDonald and Budge 2005; Powell 2000, 2006.) This greater government ideological correspondence under PR leads us to expect, prima facie, that the effect of the median voter on welfare spending would be greater under PR. Governments are expected to carry out promised levels of spending, so that leftist governments would spend more on redistributive welfare than more conservative governments. Therefore, these literatures showing closer connections between voters and governments under PR provide good reason to expect that PR election rules would also induce greater effect of the median voter position on redistributive welfare spending. That is, we would expect either that (1) a unit change in the position of the median voter would lead in equilibrium to a greater change in redistributive welfare spending under PR (a larger slope coefficient,) or (2) that there would be more random error in the process under SMD, leading to a similar equilibrium effect, but larger standard errors and less statistical significance. Thus, we expect: H1: Controlling for stable and changing social and economic conditions, the left-right preferences of the median voter significantly affect the equilibrium level of redistributive welfare spending. H4a: Ideological preferences of the median voters are more accurately reflected in legislatures and governments under PR than under SMD. H2: Controlling for stable and changing social and economic conditions, the left-right preferences of the government significantly affect the short-term and equilibrium levels of redistributive welfare spending. H3: Controlling for stable and changing social and economic conditions, introducing a control for the left-right position of the government will account for the median voter-spending connection. Hypothesis 3 reflects the status in this literature of the government positions as the mediating causal mechanism through which the median voter preferences exert their impact. H4: Election Rules, Voters and Welfare Spending. H4b: Because of the more accurate ideological correspondence of governments, the preferences of the median voter will have greater impact on redistributive welfare spending under PR than under SMD. Of course, the theoretically posited mechanisms may fail under either type of system. The presence or threat of additional parties may inhibit convergence to the median voter in majoritarian systems, or other Downsian assumptions may be unrealized (Grofman 2004). Or, party activists may systematically resist convergence to the median, as proposed in analyses of intraparty decision making (Kitschelt 1994; May 1973; Norris 1995.) In systems relying on multiparty 1016 coalition formation, the need to build legislative majorities may pull the coalition away from median-oriented campaign pledges. Or party leaders in both types of systems may respond to informed opinion leaders, rather than the average citizen (Adams and Ezrow 2009). Moreover, the ideological congruence and representation literature has focused on party campaign commitments or expert party placements, not on the outcomes of policies actually chosen. The putatively greater accountability of the government in the majoritarian systems (Duch and Stevenson 2008) might offer a reason to expect its policies to show to greater advantage than its promises. Governments, anticipating retribution for unpalatable policies, may in policymaking practice pay more attention to the voters’ preferences than to their own campaign promises, especially in the majoritarian systems. Or, the time lags involved in policy outcomes might lead to off-setting ideological distortions.2 It seems particularly important, therefore, to investigate the expected relationship between the median voter and policy outcomes associated with left-right ideology. Measurement and specification problems have previously made this very difficult. Measurement and Specification: Drawing on Previous Research Traditions There are at least two very good reasons why most representation studies do not include substantive policy analysis. One problem is the difficulty in ascertaining what policies the voters want. A second problem is the complexity of policies themselves, which are shaped by many social and economic conditions, very often making it hard to determine the role of the political elements. Here we take advantage of two distinguished bodies of research. To identify the position of the median voter in 500 country-years across 17 countries over 30 years we draw on the work of Kim and Fording (1998, 2002), themselves building on the important research program coding party manifestos in terms of the space devoted to different political issues (Budge, et al. 2001,) transformable into left-right placement (Laver and Budge 1992, 24–27). It is critical for our purposes 2 Also see the alternative hypotheses and inferences in the threecountry responsiveness comparison of Hobolt and Klemmensen (2008). shin-goo kang and g. bingham powell jr. that these estimated voter placements be substantively comparable across countries and time, not simply reflecting a party’s relative position in local campaign discourse. It is also highly relevant that issues of redistributive welfare constitute a part of the left-right discourse. The approach of the manifesto coding meets these needs.3 Studies relying on citizen surveys tend to find that citizen in most countries place themselves in the center of what are obviously varying local discourses, reflecting different balances of issues and different understanding of ‘‘center,’’ hence not useful for predicting substantive policies. To specify the role of political factors in the midst of social and economic ones we draw on the work of Robert Franzese (2002, chap. 2). Franzese’s ‘‘tax and transfer systems’’ are measured by ‘‘the sum of socialsecurity benefits, social-assistance grants, and unfunded welfare and pension payments by general government’’ (2002, 62). These tax and transfer systems (also called ‘‘social insurance’’ or ‘‘redistributive welfare’’) consumed a large and increasing part of the share of GDP in the Western countries from the 1960s onward, from about 8% in 1962 and reaching over 20% of the GDP in a number of countries by 1995.4 Franzese develops a carefully specified theory and econometric model of redistributive welfare transfers as a percentage of GDP. By building on Franzese’s work we can avoid simplistic attribution of these redistributive welfare expenditures to voter preferences when they are really responding to such powerful factors as change in age distribution, unemployment levels, national income fluctuations, and inflation. Indeed, one problem of an analysis of redistributive welfare expenditure is that welfare spending is embedded in large bureaucracies and a web of social policy, which directly connect it to the age level of the population and the level of unemployment, two large 3 For a complete description of how to compute median voter and government ideological position, see Kim and Fording (1998, 2002) and the online appendix. We recognize not only that these estimations are not without controversy, but that the revealed position of the median voter is not quite the same as the unmediated preference of the median citizen. We are not able to take account of differences between voters and nonvoters. Moreover, median voter positions may be affected by party offerings. One might consider these ‘‘induced’’ preferences, rather than authentically prepolitical ones. However, any theory of the effect of elections must work through these induced preferences. 4 Another approach to measuring redistributive welfare programs is offered by Mares’s careful coding of social policy legislation in over 130 countries (2005.) However, her summary country characterizations are purely cross-sectional and thus not useful for our dynamic analysis. representation and policy responsiveness components of spending, as well as to other social needs. On one hand, it will change as they change; on the other hand, such bureaucratized spending inevitably has a large inertial component, limiting programmatic change in a given year. Moreover, as welfare spending is measured as a percentage of GDP, necessary to compare spending figures across countries, it is also sensitive to fluctuations in the GDP itself, and to inflation changes. Comparative policy studies, more generally, reflect a substantial debate over what social and economic factors should be controlled and whether political factors matter at all in social welfare spending. For example, Imbeau, Petry and Lamari (2001) report a meta-analysis of 43 studies of the relationship between the left-right composition of the government and public policy outputs, involving 164 estimates of the relationship with social welfare spending. Only 25% of those estimates yielded statistically significant (at .10) estimates in the correct direction (2001, 18.) See also, for example, the small partisan effects reported in the cross-national analysis of Blais, Blake, and Dion (1993) and the varying cross-national findings of Klingemann, Hofferbert, and Budge (1994). Both specification disputes and lack of substantively comparable ideological measures are involved in these varying results. Franzese’s own theoretical and empirical analyses (2002, 86), show the power of the specification variables and also examine openness of the economy, income skew, and other features proposed by various political economists. Moreover, his error correction model enables us to ascertain both short-term effects and long-term equilibrium relationships, which will be essential in connecting voter preferences to policies. Thus, it provides a very valuable starting ground for our endeavor to explore the relationship between the redistributive welfare spending and the preference of the citizens in these countries. Redistributive social welfare policies and their expansions and contractions have been at the heart of left-right policy discourse in the Western democracies for many years, and especially in the 30 years between 1962 and 1991 which are our focus here.5 At the same time many election studies have shown that voters in these countries during this time period 5 Although the Franzese data that we use include the 1950s, we begin our analysis in 1961. On one hand the 1950s include economic and social rebuilding after WWII; probably for this reason the social and economic model does not fit well in those years. On the other hand, the Australian and New Zealand data are not available until after 1960; even Italy only begins in 1955; and France switches to SMD in 1958, so our comparison of PR and SMD systems cannot be carried out in the 1950s. 1017 make extensive use of the perceived positions of the parties on a left-right dimension in making their voting decisions. Thus, we have good reason to hope that if welfare policies are responsive to what voters want, we shall be able to estimate the degree of responsiveness building on these two research programs. Does Redistributive Welfare Spending Respond to the Median Voter? Because of the problem of estimating the median voter position, few studies have attempted to link these positions to the redistributive welfare spending levels. One exception is McDonald and Budge (2005), who also use manifestos to estimate the positions of median voter, legislature, and government. They do find, encouragingly, reoccurring associations between average median voter positions and average government spending in their analysis of 21 countries between 1973 and 1995 (216 ff.) However, they only control for a few socioeconomic conditions, openness of the economy, and government centralization, in predicting central government spending (217.) Nor do they take account of any fixed country effects, presumably because their analyses focus on average cross-sectional comparisons (222, 224.) Figure 1 shows the severity of the analytic problem linking changing voter preferences and redistributive welfare spending. Panel (A) in Figure 1 shows average redistributive welfare spending each year from 1962 through 1991. The three lines show spending in countries with proportional representation electoral systems (PR, marked by squares), spending in countries with Single-Member District electoral systems (SMD, marked by diamonds), and (in the middle) the average for all countries (marked by black circles).6 We shall return below to the distinction between spending under the different electoral systems. At the moment the important point is that redistributive welfare spending as a percent of GDP increased more or less continuously from the mid 1960s until the early-1980s, leveled off, and then ticked up again at the end of the period. We can 6 The PR countries are Austria, Belgium, Denmark, Finland, Ireland, Italy, Netherlands, Norway, Sweden, Switzerland, and West Germany; the SMD countries are Australia, Canada, France, New Zealand, United Kingdom, and United States. (France 1986, although held under PR rules for that one election, is still coded as SMD.) 1018 shin-goo kang and g. bingham powell jr. F IGURE 1 Redistributive Welfare Spending and Median Voter Ideological Position (A) Redistributive Welfare Spending compare this to the median voter ideological position (on a 0–100 scale from right to left,) which is shown in Panel (B). Again, postponing the discussion of the different tracks for different electoral systems, we see that voters were moving left in the 1960s, at least in the PR systems, but shifting towards the right in the 1970s and early 1980s—contrary to the increased tax and transfer spending. A simple comparison of the trends between median voter changes and tax and transfer spending changes suggests little correspondence between the two, perhaps even a negative association, which is completely contrary to our usual assumptions about ideology and spending. But social and economic conditions, such as growth, unemployment, and inflation must be taken into account, as they have direct effects on social insurance as a percent of GDP. We also take into account the effect of spending level itself, which should ease demands and run into resource constraints, such that we expect that the higher the current level of expenditures, the slower the increase. Voter preference effects must operate against that background, so we must turn to the fully specified multivariate error correction models. In an error-correction model, a set of variables have a long-run equilibrium relationship. When a certain shock occurs due to changes in independent variables or some unexplained (B) Median Voter Ideological Position factors, the dependent variable changes—or adjusts to a new value—in a way to maintain the equilibrium relationship. Model 1 in Table 1 replicates the full Franzese 2002 model of changing tax and transfers for the 17 countries in our analysis for the 30-year period from 1962 through 1991.7 The analysis includes all the economic and social factors suggested in his analysis, including lagged spending, average spending change in all the countries to capture a possible time trend, and political variables and proxies for them, as well as country dummies to capture fixed effects. We have deleted his estimate of the government’s ideological position (about which more later), which was not in fact statistically significant by usual standards in Franzese’s analysis. As we see in column 1, which reports coefficients similar to those in Franzese (2002), the change in tax and transfers is powerfully affected by previous spending levels and by such 7 For comparison purposes of over time analysis, we include only the 17 ‘‘Western’’ countries that are democracies throughout the period. That is, from Franzese’s countries we exclude the new democracies of Greece, Portugal, and Spain, which introduce or reestablish democracy in the 1970s. We also exclude Japan, as we are less confident in the substantive left-right comparability of the manifestos. To Franzese’s countries we are able to add New Zealand, drawing on the similar sources and measures. representation and policy responsiveness short-term factors as change in unemployment, change in inflation, economic growth, change in economic growth, and national wealth (the natural log of real GDP per capita), each of which has a strong theoretical justification in Franzese’s discussion. (Most of the proposed proxies for political conditions emerge as insignificant, so are not discussed further.) We cannot reliably assess the effect of the expressed preferences of the median voter without controlling for the key social and economic conditions. In Model 2 of Table 1 we add our estimates of the position of the median voter in the previous year (Median voter t-1) and change in position of the median voter (DMedian voter t) to the fully specified equation. Following on previous research on welfare spending in general (e.g., Wilensky 2002, Part II,) we also add a variable for percent of the population who are Catholic (Catholic), as Catholic countries and party systems are argued to additionally favor such policies.8 We can draw four inferences from the coefficients in Model 2. First, we see that most of the control variables are largely unchanged. Second, the number of significant country dummies has declined from eight (at the .10 level) or six (at the .05 level), to only two, which is a pleasing improvement in theoretically interesting explanatory power. In these specifications including voter preferences only Belgium and the Netherlands retain statistical significance as country dummies. Third, we see that contemporaneous change in position of the median voter is insignificantly related to changes in tax and transfer. Given the lags and complexities of tax and transfer spending, we are not surprised by this, but it is still notable that short-term change in median voter position does not induce change in redistributive welfare spending. Finally, we see that the coefficient for the lagged ideological position of the median voter is significantly related to change in tax and transfer spending at the .05 level. Given the conservative nature of the fixed effect specification, it is normatively pleasing, as well as interesting, to find that expressed median voter preferences do affect tax and transfer spending, through a long-term equilibrium process, consistent with Hypothesis 1. 8 Since Catholic is measured as a time-invariant variable, an additional dummy variable for country fixed effects—in our case, Ireland—should be eliminated from the specification to avoid perfect collinearity. Note that there is no identification problem between the two excluded countries—the United States and Ireland—since they are different in the level of Catholic population. 1019 However, we must also report that the effect is not very large in this specification. As we see in the equation, many other factors affect short-term tax and transfer spending as a percent of GDP.9 The expressed preferences of the voter are only one element. We can estimate the magnitude of their effect. In this kind of change (error correction) model, the substantive impact of permanent change in the level of a simple independent variable on the expected long-term equilibrium level of the dependent variable is estimated by dividing its coefficient by the (negative) coefficient for the lagged dependent variable. (See Franzese 2002, 81–85, notes 40 and 44.) The highly significantly negative coefficient estimate on the lagged dependent variable—with a z-value 5.60—justifies this interpretation. Here, we divide the coefficient for lagged median voter position (.0058) by the lagged spending variable (2.1029), to derive an expected equilibrium effect of .0579. That is, in equilibrium a 10-point ideological difference in the position of the median voter, which is roughly standard deviation of the variable, would result in a difference of .6% in tax and transfer spending. A 20-point difference in expressed ideological position, which is about the average median voter difference between the United States and Sweden, would be expected to result in about a 1.2% spending difference. (The real average spending difference between these two countries in this 30-year period is about 5 %.) While it is impressive that this analysis reverses the negative trends of association in Figure 1, we could not characterize it as a dominant factor, despite its substantive, as well as statistical, significance. However, we have good reason to believe that the specification in Model 2 is overly conservative. It is a ‘‘fixed effect’’ model that includes dummy variables for each country (except two, which constitute the base line.) Thus, it virtually eliminates all the crosssystem effects and reflects only within-country change. We know that there are systematic differences across countries in the position of the median voter. The median voter in Sweden, to use the example mentioned above, is consistently well to the left of the median voter in the United States. Putting in dummy variables for each country understates such effects. (Franzese was well aware of this problem, as he mentions (84, note 42), but was not concerned with cross-national differences. In general, see Beck and Katz (2004, 4–6).) The full fixed-effect specification 9 We assume for purposes of this analysis that these conditions are largely exogenous with respect to the position of the median voter, consistent with the stability of their effects when it is entered into the equation. 1020 shin-goo kang and g. bingham powell jr. T ABLE 1 Median Voter and Redistributive Welfare Spending (ECM Models) Variables Model 1 Constant Tax-and-Transfer t-1 DMedian voter t Median voter t-1 Catholic DUnemployment t Unemployment t-1 DAge65+ t Age65+ t-1 DInflation t Inflation t-1 D(DGDP t) D GDP t-1 GDP t-2 Openness t-1 Central-tax share t-1 Indirect-tax share t-1 Total-tax share t-1 Union density t-1 DElection year t Election year t-1 DGovernment hazard rate t Government hazard rate t-1 Income skew variability t-1 Voter turnout t-1 Voter turnout t-1*Income skew t-1 Income skew t-1 DTax-and-Transfert-1 DWelfare spending trend t Germany France Italy U.K. Canada Austria Belgium Denmark Finland Ireland Netherlands Norway Sweden Switzerland Australia N.Z. Number of Cases (d.f) Adjusted R2 Hausman Test (Model 2 vs. 3) 28.686 20.103 Model 2 (3.176) (0.018) 0.186 (0.042) 0.004 (0.015) 0.336 (0.179) 0.017 (0.040) 20.028 (0.010) 20.001 (0.008) 212.968 (1.376) 211.689 (2.094) 0.876 (0.329) 20.551 (0.445) 20.331 (0.551) 0.924 (1.086) 0.630 (1.231) 0.009 (0.005) 20.016 (0.063) 0.044 (0.102) 0.027 (0.124) 0.182 (0.127) 0.389 (2.053) 0.440 (1.552) 0.105 (1.649) 0.256 (1.235) 0.031 (0.058) 0.203 (0.063) 0.537 (0.427) 1.215 (0.406) 0.900 (0.436) 0.168 (0.370) 0.266 (0.252) 0.953 (0.494) 1.792 (0.579) 0.384 (0.410) 0.627 (0.323) 1.088 (0.553) 2.196 (0.555) 0.863 (0.416) 0.561 (0.429) 0.255 (0.313) 20.366 (0.364) 0.390 (0.456) 501(459) 0.5584 Model 3 (3.310) (0.018) (0.005) (0.003) (0.009) (0.042) (0.015) (0.181) (0.040) (0.010) (0.008) (1.375) (2.095) (0.331) (0.441) (0.547) (1.051) (1.225) (0.005) (0.063) (0.102) (0.124) (0.128) (2.045) (1.638) (1.733) (1.302) (0.057) (0.064) (0.366) (0.289) (0.356) (0.536) (0.190) (0.328) (0.298) (0.629) (0.528) 22.810 20.068 0.002 0.010 0.006 0.192 0.000 0.479 0.049 20.021 0.006 213.490 211.516 0.191 20.202 20.314 0.732 0.513 0.008 20.045 20.004 20.025 0.082 2.944 0.224 20.215 20.147 0.038 0.181 (1.792) (0.013) (0.005) (0.003) (0.001) (0.042) (0.013) (0.166) (0.018) (0.010) (0.008) (1.417) (2.118) (0.144) (0.175) (0.281) (0.658) (0.857) (0.003) (0.064) (0.103) (0.118) (0.093) (2.049) (1.274) (1.436) (1.215) (0.056) (0.066) 0.428 (0.103) 0.395 (0.153) 2.001 (0.520) 1.028 (0.642) 0.765 (0.620) 0.034 (0.279) 20.409 (0.384) 0.538 (0.543) 501(457) 0.5601 x2½32 5 14:18 ð0:9958Þ 1.222 (0.199) 210.246 20.103 0.003 0.006 0.015 0.184 0.011 0.375 0.027 20.026 0.002 213.260 212.221 0.889 20.583 20.326 1.323 0.454 0.009 20.021 0.040 0.026 0.192 0.474 1.306 20.681 0.841 0.027 0.196 0.234 0.410 20.043 0.336 20.086 20.028 0.670 0.625 0.904 501(469) 0.5416 Note: Panel-corrected standard errors are in parentheses. The coefficient estimates in Bold indicate statistical significance at p , .05 in two-tailed tests. Model 1 includes all country dummy variables except for the US. Model 2 excludes an additional country dummy (Ireland) from the specification to avoid perfect collinearity due to the inclusion of Catholic, a time invariant variable. Model 3 excludes all country dummy variables except for three countries. Description of variables is reported in replication data file. D is the difference operator. representation and policy responsiveness impedes us from fully assessing the effect of election rules and other variables that are either time-invariant or slowly changing—hence their impact is largely presumed to be due to cross-sectional differences. The preferred specification is Model 3. We have observed that three countries, France, Netherlands, and Belgium, consistently spend more on redistributive welfare than other countries in many specifications, suggesting that these three countries may have different data-generating processes and that it is not appropriate to pool these countries together with the others. If we put in dummy variables for just those three countries, they are highly statistically significant and, more importantly, retain the significance of the lagged spending variable, and create a statistically acceptable specification.10 We should emphasize that this approach involves a kind of trade-off, so we shall continue to compare our results with the full fixed-effects models. In this specification the short-term effect of change in median voter position remains insignificant, but the equilibrium effect of the level of left-right position of the median voter is highly significant. (In fact, it is robust to many alterations in specifications, as we shall see.) The size of the median voter level coefficient is nearly doubled (0.0101), and when divided by the lagged spending variable (2.0684), leads to a more than doubled estimated equilibrium effect of .1478, (which is significant at .001). Similarly, some of the other variables that are notable for slow trend movement and large cross-sectional differences, such as Catholic population, age structure, and union density show substantially increased size or significance levels. It is reassuring to confirm previous work on the role of Catholicism and union membership in redistributive welfare spending. Most of the other major social and economic conditions, such as change in unemploy10 As we might expect from these considerations, a specification without any country dummies greatly increases our estimation of the effect of median voter differences. However, statistical tests show this specification is impermissible. Among other concerns, the estimate of the lagged spending variable is small and barely significant, suggesting an unstable equilibrium relation. Estimation without country indicators may suffer from inconsistency due to omitted variable bias when the explanatory variables in the equation are correlated with the excluded atheoretical country-specific dummy variables. The Hausman specification test is devised to test for the orthogonality of the regressors and disturbances in the equation with the null hypothesis of no correlation (Greene 2000, 576). The Hausman test of Model 3 against Model 2 indicates that the null cannot be rejected. The result suggests that the coefficient estimates of Model 3 are consistent and efficient. Moreover, Lagrange-Multiplier residual correlation test (Greene 2000, 540) fails to reject the null of no serial correlation of the errors (p , .1739), suggesting that estimation of OLS with panel corrected standard error is appropriate. 1021 ment and economic growth, remain largely unchanged, reminding us of their importance in the specification. Substantively, a 10-point difference in average median voter position would lead to 1.478% greater spending of GDP. The 20-point difference between the United States and Sweden leads us to expect 3% greater spending in Sweden. This is a substantively very important effect, which would account for a majority, although not all, of the average spending difference between the two countries. Change in redistributive welfare spending does respond, albeit in a lagged equilibrium, to the preferences of the median voter, consistent with Hypothesis 1. Median Voters, Governments, and Redistributive Welfare Spending Spending policies are not carried out by voters or election rules. They are carried out by governments. Indeed, the standard theory of ideological congruence expects that government left-right positions will be the causal mechanism that connects the median voter to redistributive welfare spending, as sketched in Hypotheses 2 and 3 above. Table 2 (Model 4) simply replaces the ideological position of the median voter with the position of the government, estimated from its parties’ campaign manifesto promises, using our preferred, three country-dummy specification (from Table 1, Model 3.) For ease of reading, Tables 2 and 3 show only the coefficients (and standard errors in parentheses) of theoretical interest from the fully specified interactive models.11 Two points are immediately apparent. First, whereas the short-term change in position of the voters was seldom significantly related to policy change, the short-term change in government position (DGovernmentt) is linked to distributive welfare policy change. A 10-point change to the left in government ideology is immediately followed by about a twentieth of a percent change [0.005 3 10 5 0.05 percent of GDP] in distributive welfare policy; the effects are small, but statistically significant. (This is also true in a specification with all country dummies, as in Model 2, that is, a complete fixed effects model, and is generally a very robust effect.) Recall that social and economic conditions, as well as previous spending, are controlled. 11 The full estimation results are available in the online appendix, Tables 2 and 3. 1022 T ABLE 2 shin-goo kang and g. bingham powell jr. Median Voter, Governments, and Redistributive Welfare Spending Model 4 Model 5 Constant 21.509 (1.791) 22.731 (1.803) Median Voter short-term effects: DMedian voter 20.001 (0.006) long-term effects: 2Median Votert-1/ 0.128 (0.045) Tax-and-Transfert-1 Government short-term effects: DGovernmentt 0.005 (0.002) 0.003 (0.002) long-term effects: 2Governmentt-1/ 0.074 (0.028) 0.021 (0.025) Tax-and-Transfert-1 Number of Cases (d.f) 501(469) 501(467) Adjusted R2 0.5356 0.5417 Note: Only the coefficients of theoretical interest are reported in the table. The results of full models are reported in Table A2 in the on-line Appendix. Panel-corrected standard errors are in parentheses. The coefficient estimates in Bold indicate statistical significance at p , .05 in two-tailed tests. All models include only three country dummy variables for France, Belgium, and the Netherlands. Second, there are also long-term equilibrium effects of government ideological position. These, too, are statistically significant, and much larger, with a 10-point government policy difference leading to about .7% of an increase in distributive welfare policy spending. So, Hypothesis 2 is supported in both short-term and long-term equilibria. However, in comparison to the results from Model 3, we recall that the long-term government equilibrium effects are not quite as large as those associated with long-term position of the median voter. (Again, the larger median voter effects hold at the comparatively reduced levels of the full fixed models also.) The greater short-term power of the government effects, but greater long-term power of the median voter can be seen explicitly in Table 2, Model 5, where we enter both median voters and governments into the equation. Of course, as median voters’ and governments’ left-right positions are fairly highly associated, (r 5 .69) multicollinearity may be a problem; the magnitudes of all voter and government coefficients are reduced, and we cannot be completely confident about their shared effects. But we do see clearly that the two outstanding political effects are long-term voter equilibrium and short-term government change. A 10-point change to the left by the voters eventually results in a 1.28% increase in spending, whereas a 10-point change to the left by the new government immediately induces a .03% welfare spending increase. There are no significant effects of either short-term voter change or—having taken voter ideology into account—of long-term government ideological differences.12 This result is certainly contrary to Hypothesis 3, which posited the government position as the linking causal mechanism between voter and policy. Contrary to expectation, the long-term voter equilibrium does not disappear when we enter the government position into the equation. In our preferred 3 dummy specification, as shown in Table 2, it is the long-term government position that becomes insignificant, while the longterm voter effect remains robust. Most previous research on the effect of political factors on welfare spending has paid attention to the government partisanship. But this result suggests that it might be the case that the government partisanship primarily reflects the median voter connection (see McDonald and Budge 2005). Is the Impact of Voter Preferences Greater under PR? Consistent with Hypothesis 4a and the previous ideological congruence studies, the better voter-legislature-government left-right correspondences associated with PR election rules can be also found in our data. The average government in PR systems is an average of 8 points from their median voter on a 100point scale, (on average slightly to the left,) while the average government in the SMD systems is an average of 13 points from its median voter (on average, more substantially to the right.) This difference is statistically significant. As another indicator, the correlation between the median voter position and the government position is .74 in the PR systems and only .54 in the SMD systems. Moreover, as we have just seen, a government’s ideological position does predict its spending, as we expected from Hypothesis 2. 12 Model 5 uses the three country dummies. If we enter both voters and governments into the full fixed-effects model, along with a dummy for the election rules, short-term government change remains significant. (Short-term vote change is not.) The substantive magnitudes of both voter and government long-term equilibria are nearly identical, but in this specification government is significant, whereas median voter is not. Multicollinearity is even more of a problem, of course, with all the country dummies and so much of voter, government, and election rule difference being cross-national. representation and policy responsiveness T ABLE 3 1023 Median Voter and Spending in SMD/PR Electoral Systems Model 6 SMD Model 7 PR SMD Model 8 PR SMD PR Constant 29.524 (3.395) 28.967 (3.189) 23.903 (1.940) 23.607 (1.826) 23.716 (1.958) 23.435 Median Voter short-term effects: DMedian voter 0.008 (0.008) 0.000 (0.006) 0.010 (0.008) 20.001 (0.006) 0.007 (0.009) 20.004 long-term effects: 2Median Votert-1/ 0.045 (0.046) 0.064 (0.038) 0.150 (0.062) 0.136 (0.044) 0.139 (0.066) 0.103 Tax-and-Transfert-1 Government short-term effects: DGovernmentt 0.003 (0.003) 0.004 long-term effects: 2Governmentt-1/ 0.010 (0.031) 0.037 Tax-and-Transfert-1 Number of Cases (d.f) 501(455) 501(466) 501(461) Adjusted R2 0.5587 0.5443 0.5427 Hausman Test x2½34 5 7:02 ð1:000Þ (Model 6 vs. 7) (1.842) (0.007) (0.052) (0.003) (0.037) Note: Only the coefficients of theoretical interest are reported in the table. The results of full models are reported in Table A3 in the online Appendix. Panel-corrected standard errors are in parentheses. The coefficient estimates in Bold indicate statistical significance at p , .05 in two-tailed tests. Model 6 includes all country dummy variables except for the US (baseline), Ireland, and Norway. These variables are excluded to avoid perfect collinearity. Model 7 and 8 includes three country dummy variables for France, Belgium, and the Netherlands. We are surprised to report, however, that evidence to support the expectation of greater voter impact under PR (Hypothesis 4b) is slight and limited at best. This is seen most clearly in Table 3, which estimates the interactions between the median voter position and change in the median voter position and the election rules under several specifications. The first two data columns, called Model 6, show the results from the full fixed-effects model, whereas next two columns, Model 7, show the results from the model with dummies for the three outlying ‘‘big spender’’ countries of Belgium, France, and the Netherlands. Both models include all the control variables from Table 1, plus a PR dummy. Looking first at the short-term effects, we see that coefficient for change in the median voter position under SMD systems, is small, positive, and about same size as the standard error (thus not significant by usual standards) under SMD. The PR coefficient, calculated by adding the SMD coefficient and the interaction term, is virtually zero. The difference is actually negative, although again not significant. This pattern is replicated under the other specifications. The long-term equilibrium effects (dividing the coefficients by the appropriate lagged dependent variable coefficient) are larger. The equilibrium effect under PR adds about 40% to the effect under SMD and is itself nearly statistically significant by usual standards (p , .088), as shown in the last line of the table. But the difference is not nearly statistically significant (the z-value is merely 0.35). In the specifications with the three ‘‘Big Spender’’ country dummies, shown in Model 7, the equilibrium effects under SMD and PR are both much larger than in Model 6 and are statistically significant. But the interaction term for PR is actually negative, so the net effect coefficient for PR is slightly smaller than for SMD, although (as we see at the bottom of the table,) slightly more statistically significant because of the smaller standard error.13 However, the difference is not statistically significant at any conventional level in this specification too (the z-value is 20.21). In the last column of Table 3 (Model 8) we take an even greater risk with multicollinearity by examining voters and government in SMD and PR systems. 13 Yet another, less statistically preferable, approach is to partition the data sets into SMD and PR cases. Here, too, the estimated long-term equilibrium effects of median voter position are quite similar under SMD and PR. 1024 Here, as usual, the overridingly powerful effects are the long-term median voter equilibria (slightly greater under SMD, but similar and statistically significant under each regime). After taking the voters into account, long-term government equilibria are very small and insignificant (although slightly larger under PR.) Short-term government change is not significant under either regime, although slightly larger and closer to significance under PR (contrary to what we might think.) The most notable difference between the processes in the SMD and PR systems seems to be quite positive (but not significant) shortterm voter change effects in SMD, which are negligible under PR. Because we know that median voter position and government position are strongly correlated under PR, we don’t want to make too much of the greater power of the voter. But it does seem quite important that under SMD the governments, after some limited movement in the direction of their campaign promises, revert to a policy equilibrium closer to the position of the median voter. Thus, we are forced to conclude that differences in the impact of the median voter on redistributive welfare spending are quite similar under SMD and PR. In the full fixed-effects model, the long-term net PR coefficient is larger, but the magnitude of the effect is small, with a 10-point ideological difference inducing only about .6 % of spending difference, and the magnitude of the difference between SMD and PR is only a third of that and, again, not statistically significant. In all the models, the short-term effects are larger under SMD although, again, not significant by usual standards. Our expectations of stronger voter effects on spending under PR are simply not realized, or, at best, the traces of them are largely obscured by other factors. The smaller standard error under PR is consistent with the idea of better representation, but the differences are small. Despite its plausibility given superior government congruence under PR, Hypothesis 4b is not supported by the data. Can Voter Preferences Account for Greater Spending under PR? A very well-known empirical finding in the policy literature is that government spending and, especially, spending on welfare projects is greater in political systems with proportional representation election rules (PR), than in political systems with singlemember district (SMD) plurality or majority election rules (e.g., Iverson and Soskice 2006; Milesi-Ferretti, shin-goo kang and g. bingham powell jr. Perotti, and Rostagno 2002; Persson & Tabellini 2001, 2003; Powell 2002; Rogowski and Kayser 2002). This relationship appears in our data also, as we saw in Panel (A) of Figure 1. In the SMD systems of Australia, Britain, Canada, France, New Zealand, and the United States, the average T&T as percent of GDP in the 1961–91 period was 11.1%, while in the PR-oriented systems it was 14.9%—a third larger. Interestingly enough, the SMD and PR systems look on average quite similar in the early 1960s, but redistributive welfare spending grows much faster in the PR systems between the late 1960s and mid 1980s, after which spending largely stabilizes in both systems (see Wilensky 2002 on the equalization by 1960 and subsequent divergence). A simple comparison of change in T&T as a percent of GDP in the two types of systems throughout the 1961–91 time period shows the average yearly increase in PR systems is .35, whereas in the SMD systems it is a third less at .25. Various explanations focusing on the nature of electoral competition have been proposed to explain this relationship (e.g., Milesi-Ferretti, Perotti, and Rostagno 2002; Iverson and Soskice 2006; Pesson and Tabellini 2003; Powell 2002; Rodden 2006). An alternative explanation for the difference might lie in the different social and economic conditions confronting the SMD and PR countries. The latter, after all, are located on the European continent or near to it, while the latter include two countries in North American and two in the South Pacific. For example, examination of the individual conditions shows greater unemployment growth in the SMD systems, while the PR systems had more rapidly aging populations. Perhaps the most notable net encouragement of welfare spending appears in the effect of union density. Union density was substantially greater in the PR systems, with about 49% of the labor force unionized on average in this period, compared to 36% in the SMD systems. The expected consequence of this 13% difference would be about a 1.1% equilibrium encouragement of redistributive welfare spending in the PR systems. However, in Model 1 of Table 1 we saw the full set of social and economic conditions, including union density, predicting redistributive welfare spending. If we examine the country dummies in that specification, we find that five of the six lowest coefficients (counting the baseline category of the United States) belong to SMD systems. This pattern of country coefficients suggests that social and economic conditions do not account for the full redistributive welfare spending difference between countries with the two types of electoral systems. Moreover, the previous section has representation and policy responsiveness already shown that the impact of the median voter is quite similar under the SMD and PR systems. However, an obvious and simple explanation is suggested by Panel (B) of Figure 1. That is, voters in PR countries simply prefer more welfare spending, either for path-dependent historical reasons or because both welfare spending and PR rules reflect values of social and political inclusiveness. With our data we can now test this explanation for the greater welfare spending in the PR systems. Except in the early 1960s, and again in the early 1970s, the average median voter in the PR systems is revealed as being substantially to the left of the average median voter in the SMD systems. Across the full time period, the average median voter in the SMD systems was revealed as 53 on the 100-point right-left scale, while her PR counterpart was at about 61. As we know from the previous analysis that the position of the median voter does have in equilibrium a significant and substantive impact on redistributive welfare spending, we expect that, all else equal, it should encourage greater spending in the PR systems. H5: The difference in ideological placement of the median voters accounts for the greater redistributive welfare spending in PR countries. The models we have examined so far cannot tell us whether differences in social and economic conditions plus differences in the orientations of the electorate are responsible for the difference between the redistributive welfare spending under SMD and PR. To explore that question we need simultaneously to take account of election rules, social and economic conditions, unique country contexts, and voter preferences. We want to find out whether the election rules continue to have a substantively and statistically significant impact after taking account of all these conditions. This is difficult because of the strong associations between these factors and because the election rules are effectively fixed during the time of our analysis. We tackle this task by relying on ‘‘fixed-effect vector decomposition,’’ which provides more reliable estimates for time-invariant variables in time-seriescross-section data with unit effects than any alternative estimator using three-stage estimation (Plümper and Troeger 2007). The results are shown in Table 4. Model 9 shows the analysis without the median voter variables, which are added in Model 10.14 14 A very brief explanation of the three-stage ‘‘fixed effect vector decomposition’’ estimation technique is presented in the online appendix. 1025 These models yield several clear inferences. First, the long-term equilibrium effect of the position of the median voter remains statistically significant and at about the same magnitude as the full fixed-effect model. It is not reduced by taking additional account of the election rules in Model 10. Second, the coefficient for PR systems also remains statistically and substantively significant (about 5% of GDP) even with the median voter (and catholic population) entered into the model. The greater redistributive welfare spending under PR is not just a product of more leftist median voters (or, as we shall see, governments). The substantive magnitude of the PR coefficient is reduced, as we expect, when we take account of the position of the median voter. But if we compare the three-step processes without and with the median voter in the model (Models 9 and 10), the presence of the median voter only reduces the greater spending under PR from 5.60% to 5.04% in these full fixed-effects models. (Note that this is about the magnitude of reduction that we expected from the fixed-effect error correction Model 2, and is a conservative estimate of these effects, given that all dummy variables are included.) This implies that a significant portion of the PR-SMD difference still remains unexplained. Very substantial parts of the effects of the election rule regimes on redistributive welfare spending must be found elsewhere than in the social and economic conditions or the median voter positions. Thus, Hypothesis 5 is only partly true. Concluding Comments Scholarly studies of political representation have examined the correspondence between voters and policymakers, and the responsiveness of the representation process, in a variety of ways. They have drawn on vote distributions, surveys of left-right placements by voters and experts, party manifestos. But they have rarely examined the responsiveness of public policies themselves to differences or changes in positions of the median voters. We have used a carefully specified, dynamic error correction model of redistributive welfare spending to explore such responsiveness. The position of the median voter is estimated from the voter’s electoral choices and the manifesto positions of the parties. The redistributive welfare spending is estimated from Franzese’s combination of government spending statistics. There is no sense in which the same measurement components appear on both sides of this basic relationship and create an artificial connection. Establishing a linkage between 1026 T ABLE 4 shin-goo kang and g. bingham powell jr. Fixed Effects Vector Decomposition Model Model 9 Constant Tax-and-Transfer t-1 PR DMedian voter t Median voter t-1 Catholic DUnemployment t Unemployment t-1 DAge65+ t Age65+ t-1 DInflation t Inflation t-1 D(DGDP t) DGDP t-1 GDP t-2 Openness t-1 Central-tax share t-1 Indirect-tax share t-1 Total-tax share t-1 Union density t-1 DTax-and-Transfert-1 DWelfare spending trend t 2PR/ Tax-and-Transfer t-1 2Catholic/ Tax-and-Transfer t-1 2Median Votert-1/Tax-and-Transfert-1 Number of Cases (d.f) Adjusted R2 Model 10 28.675 20.103 0.575 (2.365) (0.013) (0.101) 0.008 0.186 0.004 0.336 0.017 20.028 20.001 212.968 211.689 0.876 20.551 20.331 0.924 0.630 0.009 0.031 0.203 (0.001) (0.039) (0.011) (0.148) (0.016) (0.010) (0.007) (1.176) (1.750) (0.179) (0.170) (0.282) (0.523) (0.987) (0.003) (0.041) (0.070) 5.604 0.074 (1.023) (0.013) 501(455) 0.5545 29.901 20.103 0.519 0.003 0.006 0.008 0.184 0.011 0.375 0.027 20.026 0.002 213.260 212.221 0.889 20.583 20.326 1.323 0.454 0.009 0.027 0.196 (2.424) (0.013) (0.099) (0.006) (0.003) (0.001) (0.040) (0.012) (0.147) (0.016) (0.010) (0.007) (1.187) (1.788) (0.181) (0.176) (0.282) (0.526) (0.979) (0.003) (0.041) (0.069) 5.040 0.081 0.058 (0.999) (0.013) (0.025) 501(453) 0.5562 Note: Fixed effect vector decomposition models are estimated following Plümper and Troeger’s (2007) suggestion. Standard errors are in parentheses. The coefficient estimates in Bold indicate statistical significance at p , .05 in two-tailed tests. Both models include the following political variables as suggested by Franzese (2002):DElection year t, Election year t-1, DGovernment hazard ratet, Government hazard ratet-1, Income skew variability t-1, Voter turnout t-1, Income skew t-1 and Voter turnout t-1*Income skew t-1. The estimates of these variables are not reported in the table for ease of reading, but none of them are statistically significant. The results are available upon request. election behaviors of voters, as shaped by party alternatives presented to them, and the policy actions of government bureaucracies is a fundamental contribution of the paper. It remains for future research, however, to determine whether these connections will hold under conditions of greater globalization and economic interdependence, as well as an altered leftright discourse. In the large picture our results are reassuring for policy responsiveness in liberal democracies. Ideological differences in the position of the median voter consistently and significantly induced responsive changes in redistributive welfare spending, taking account of a variety of economic and social conditions. The magnitude of the effects is substantively important as well as statistically significant. Difference in the positions of their respective median voters could account, for example, for about 60% of the average spending difference between the United States and Sweden in our 30-year time period. Hypothesis 1 is consistently supported. However, there are some surprising connections. First, despite the greater correspondence between the positions of voters, legislators, and governments in (these) PR systems compared to (these) SMD systems, we find little firm evidence of greater responsiveness in redistributive welfare spending in the PR countries. In our interactive models, the PR coefficients are not statistically different from the SMD coefficients. On closest inspection the SMD systems might have some advantage in short-term responsiveness; the PR systems might have some advantage in correspondence of the long-term equilibria. But generally, these two quite different processes of representation induce responsive representation and policy responsiveness redistributive welfare spending to about the same (significant) degree. Given the previous research on the process, and the representational correspondence here also, this lack of difference in median voter effect seems surprising. Moreover, the more liberal orientation of citizens in the PR systems, evident in Panel (B) of Figure 1, can account for part, although definitely not all, of the systematically greater welfare spending in the PR systems. (The proportion explained depends in part on whether full fixed effects or only the three country dummies are used.) That spending difference is remarkably robust. It is consistent with various strategic explanations of differences in party behavior under PR and SMD rules.15 It seems likely that this similarity of responsiveness is related to the other surprise in our results: the apparently greater responsiveness of welfare spending policies to the median voters than to the manifesto promises of the party (or parties) in government. To be sure, short-term change in government position has an immediate short-term impact on welfare spending, a type of effect that we did not see from voter change (despite some hints in the SMD systems.) But the long-term equilibrium levels of welfare spending, which are larger, seem more responsive to the current voters than to the government’s own campaign promises. This greater responsiveness to the voter is apparent in both the SMD and PR systems. Acknowledgments We are glad to acknowledge advice and assistance from Neal Beck, Robert Franzese, HeeMin Kim, and three thoughtful reviewers for the JOP. Manuscript submitted 23 January 2009 Manuscript accepted for publication 1 March 2010 15 As the right-left gap between governments generated by SMD and PR systems is greater than the right-left gap between their respective electorates, we might think that the greater redistributive welfare spending under PR could be more fully explained by bringing governments into the equations. But following the three step ‘‘fixed effect vector decomposition’’ model discussed in the equation only reduces the coefficient for PR from 5.60% in equations with all variables except median voters and governments, to 4.87% in equations with terms for both short-term and long-term equilibrium voters and governments. 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