Asymmetric Partisan Voter Turnout Games

Since Downs proposed that the act of voting is irrational in 1957, myriad models have been proposed to explain voting and account for observed turnout patterns. We propose a model in which partisans consider both the instrumental and expressive benefits of their vote when deciding whether or not to abstain in an election, introducing an asymmetry that most other models do not consider. Allowing learning processes within our electorate, we analyze what evolutionarily stable strategies are rationalizable under various conditions. Upon varying electorate size, the partisan split of the electorate, and the degree to which an electorate takes underdog considerations into account in its payoff structure, we find that different equilibria arise. Our model predicts comparative statics that are consistent with voter behavior, specifically affirming a “size effect,” in which turnout decreases as electorate size increases. Furthermore, relaxing some of our preliminary assumptions eliminates some of the discrepancies between the predictions of our model and empirical voter behavior. In particular, our work demonstrates that misperceptions about the partisan split of an electorate may account for high turnout behavior . Supplementary Information The online version supplementary material available at 10.1007/s13235-021-00384-1.

[1]  C. B. Foster The Performance of Rational Voter Models in Recent Presidential Elections , 1983, American Political Science Review.

[2]  Geoffrey Brennan,et al.  Democracy and Decision: The Pure Theory of Electoral Preference , 1997 .

[3]  Eugene Silberberg,et al.  Is the act of voting rational? , 1973 .

[4]  Stephen Coate,et al.  A Group Rule–Utilitarian Approach to Voter Turnout: Theory and Evidence , 2004 .

[5]  H. Rosenthal,et al.  Chapter 8 – VOTING AND SPENDING: SOME EMPIRICAL RELATIONSHIPS IN THE POLITICAL ECONOMY OF LOCAL PUBLIC FINANCE1 , 1983 .

[6]  Howard Margolis,et al.  Selfishness, altruism, and rationality , 1982 .

[7]  John C. Harsanyi,et al.  Rule utilitarianism, rights, obligations and the theory of rational behavior , 1980 .

[8]  Rick K. Wilson,et al.  Results on Sophisticated Voting in an Experimental Setting , 1988, The Journal of Politics.

[9]  Subrata K. Sen,et al.  Electoral Participation in the French Fifth Republic , 1973, American Political Science Review.

[10]  John Ferejohn,et al.  The Paradox of Not Voting: A Decision Theoretic Analysis , 1974, American Political Science Review.

[11]  T. Feddersen,et al.  Rational Choice Theory and the Paradox of Not Voting , 2004 .

[12]  E. Overbye,et al.  Making a case for the rational, self‐regarding, ‘ethical’ voter… and solving the ‘Paradox of not voting’ in the process , 1995 .

[13]  N. Goodman,et al.  Fewer voters, higher stakes? The applicability of rational choice for voter turnout in Quebec municipalities , 2017 .

[14]  D. Mueller,et al.  Community size, heterogeneity and voter turnouts , 2005 .

[15]  Abhinash Borah Voting Expressively , 2019, Economic Inquiry.

[16]  John Morgan,et al.  Mixed Motives and the Optimal Size of Voting Bodies , 2012, Journal of Political Economy.

[17]  Schenley Park The Downsian model of electoral participation : Formal theory and empirical analysis of the constituency size effect , 2004 .

[18]  D. Green,et al.  Pathologies of Rational Choice Theory: A Critique of Applications in Political Science , 1994 .

[19]  Thomas R. Palfrey,et al.  Voter Participation and Strategic Uncertainty , 1985, American Political Science Review.

[20]  John G. Matsusaka,et al.  Explaining voter turnout patterns: An information theory , 1995 .

[21]  Gordon Tullock,et al.  Toward A Mathematics Of Politics , 1972 .

[22]  Michael Boss Economic theory of democracy , 1974 .

[23]  G. Sieg,et al.  Evolutionary dynamics in the voting game , 1995 .

[24]  A. Blais,et al.  Does proportional representation foster voter turnout , 1990 .

[25]  John H. Aldrich Some Problems in Testing Two Rational Models of Participation , 1976 .

[26]  A. Downs An Economic Theory of Democracy , 1957 .

[27]  A. Shleifer,et al.  Explaining voter turnout patterns : An information theory , 1995 .

[28]  W. Riker,et al.  A Theory of the Calculus of Voting , 1968, American Political Science Review.

[29]  Wolfgang Pesendorfer,et al.  Abstention in Elections with Asymmetric Information and Diverse Preferences , 1999, American Political Science Review.

[30]  Alexander A. Schuessler EXPRESSIVE VOTING , 2000 .

[31]  F. Thompson Closeness counts in horseshoes and dancing ... and elections , 1982 .

[32]  Amrita Dhillon,et al.  Economic Theories of Voter Turnout , 2002 .

[33]  John O. Ledyard,et al.  The pure theory of large two-candidate elections , 1984 .

[34]  Thomas R. Palfrey,et al.  A strategic calculus of voting , 1983 .

[35]  Thomas R. Palfrey,et al.  The Downsian model of electoral participation: Formal theory and empirical analysis of the constituency size effect , 1987 .

[36]  David K. Levine,et al.  The Paradox of Voter Participation? A Laboratory Study , 2007, American Political Science Review.

[37]  Alvaro Sandroni,et al.  A Theory of Participation in Elections , 2006 .

[38]  T. Palfrey,et al.  External validation of voter turnout models by concealed parameter recovery , 2013 .

[39]  Arthur Schram,et al.  Voter turnout as a participation game: An experimental investigation , 1996 .

[40]  G. Brennan Psychological dimensions in voter choice , 2008 .

[41]  H. Rosenthal,et al.  Participation and the provision of discrete public goods: a strategic analysis , 1984 .