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The equivalence between costly and probabilistic voting models

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  • Kamada, Yuichiro
  • Kojima, Fuhito

Abstract

In costly voting models, voters abstain when a stochastic cost of voting exceeds the benefit from voting. In probabilistic voting models, they always vote for a candidate who generates the highest utility, which is subject to random shocks. We prove an equivalence result: In two-candidate elections, given any costly voting model, there exists a probabilistic voting model that generates winning probabilities identical to those in the former model for any policy announcements, and vice versa. Thus many predictions of interest established in one of the models hold in the other as well, providing robustness of the conclusions to model specifications.

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  • Kamada, Yuichiro & Kojima, Fuhito, 2013. "The equivalence between costly and probabilistic voting models," Games and Economic Behavior, Elsevier, vol. 80(C), pages 179-185.
    • Handle: RePEc:eee:gamebe:v:80:y:2013:i:c:p:179-185
    DOI: 10.1016/j.geb.2013.03.001
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    3. Prummer, Anja, 2020. "Micro-targeting and polarization," Journal of Public Economics, Elsevier, vol. 188(C).

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

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