The symmetric equilibria of symmetric voter participation games with complete information

We characterize the symmetric Nash equilibria of the symmetric voter participation game with complete information from Palfrey and Rosenthal (1983) . To do so, we use methods based on polynomials in Bernstein form to determine how the probability that a voter is pivotal depends on the participation probability and the number of players in the game

Preference Uncertainty, Voter Participation and Electoral Efficiency: An Experimental Study

We experimentally study the impact of preference uncertainty on voter turnout and electoral efficiency in a participation game. We find higher participation rates when the electorate is informed about the level of support for various candidates than when group sizes remain uncertain. Moreover, despite higher free riding incentives majorities win more often than minorities. In aggregate, whether or not group sizes are known hardly affects welfare. We also distinguish between allied and floating voters and our data show that the lower turnout under uncertainty can be attributed to floating voters participating less. Finally, our results match better the predictions by quantal response (logit) equilibria than by (Bayesian-) Nash equilibria.

Sequential Voting with Abstention

Dekel and Piccione (2000) have proven that information cascades do not necessarily affect the properties of information aggregation in sequential elections: under standard conditions, any symmetric equilibrium of a simultaneous voting mechanism is also an equilibrium of the correspondent sequential mechanism. We show that when voters can abstain, these results are sensitive to the introduction of an arbitrarily small cost of voting: the set of equilibria in the two mechanisms are generally disjoint; and the informative properties of the equilibrium sets can be ranked. If an appropriate q-rule is chosen, when the cost of voting is small the unique symmetric equilibrium of the simultaneous voting mechanism dominates all equilibria of the sequential mechanism.

Neighborhood Information Exchange and Voter Participation: An Experimental Study

We study the effect of social embeddedness on voter turnout by investigating the role of information about other voters' decisions. We do so in a participation game, where some voters ('receivers') are told about some other voters' ('senders') turnout decision at a first stage of the game. Cases are distinguished where the voters support the same or different candidates or where they are uncertain about each other's preferences. Our experimental results show that such information matters. Participation is much higher when information is exchanged than when it is not. Senders strategically try to use their first mover position and some receivers respond to this.

Public Opinion Polls, Voter Turnout, and Welfare: An Experimental Study

We experimentally study the impact of public opinion poll releases on voter turnout and welfare in a participation game. We find higher turnout rates when polls inform the electorate about the levels of support for various candidates than when polls are prohibited. Distinguishing between allied and floating voters, our data show that this increase in turnout is entirely due to floating voters. Very high turnout is observed when polls indicate equal support levels for the candidates. This has negative consequences for welfare. Though in aggregate social welfare is hardly affected, majorities benefit more often from polls than minorities. Finally, our comparative static results are better predicted by quantal response (logit) equilibrium than by Bayesian Nash equilibrium.laboratory experiments.

Efficiency, Equity, and Timing in Voting Mechanisms

We compare the behavior of voters, depending on whether they operate under sequential and simultaneous voting rules, when voting is costly and information is incomplete. In many real political institutions, ranging from small committees to mass elections, voting is sequential, which allows some voters to know the choices of earlier voters. For a styl- ized model, we characterize the equilibria for this rule, and compare it to simultaneous voting, and show how these equilibria vary for di¤erent voting costs. This generates a variety of predictions about the relative e¢ ciency and equity of these two systems, which we test using controlled laboratory experiments. Most of the qualitative predictions are supported by the data, but there are signi?cant departures from the predicted equilib- rium strategies, in both the sequential and sumultanous voting games. We ?nd a tradeo¤ between information aggregation, e¢ ciency, and equity in sequential voting: a sequential voting rule aggregates information better, and produces more e¢ cient outcomes on aver- age, compared to simultaneous voting, but sequential voting leads to signi?cant inequities, with later voters ben?tting at the expense of early voters.

Robust Rational Turnout

We establish that, except for a finite set of common costs of participation, all equilibria of a class of complete information voting games (as in Palfrey and Rosenthal (1983)) are regular. Thus, all the equilibria of these games (including those exhibiting high turnout rates) are robust to small but arbitrary payoff perturbations, and survive in nearby games with incomplete information about voting costs and/or about the fraction of supporters of the two candidates. We also show that all the equilibria of these complete information games exhibit minimal heterogeneity of behavior, so that the strategies of indifferent players are characterized by at most two probabilities.Turnout, Regular Equilibrium.

Robust Rational Turnout

We establish that, except for a finite set of common costs of participation, all equilibria of a class of complete information voting games (as in Palfrey and Rosenthal (1983)) are regular. Thus, all the equilibria of these games (including those exhibiting high turnout rates) are robust to small but arbitrary payoff perturbations, and survive in nearby games with incomplete information about voting costs and/or about the fraction of supporters of the two candidates. We also show that all the equilibria of these complete information games exhibit minimal heterogeneity of behavior, so that the strategies of indifferent players are characterized by at most two probabilities.Turnout, Regular Equilibrium.

Re-examining Voter Turnout in Large Elections

A well-known shortcoming of rational voter models is that the equilibrium probability that an individual votes converges to zero as the population of citizens tends to infinity. We show that this does not ñ as is often suggested ñ imply that equilibrium voter turnout is insignificant in the limit. We characterize limiting equilibrium turnout and show that it may actually be arbitrarily large. Indeed, expected equilibrium turnout is shown to be closely approximated by 1/ where c is the lowest possible realization of an individualís voting cost.