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Complete information pivotal-voter model with asymmetric group size

Author

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  • Christos Mavridis

    (Lancaster University)

  • Marco Serena

    (Max Planck Institute for Tax Law and Public Finance)

Abstract

We study the equilibria of the standard pivotal-voter participation game between two groups of voters of asymmetric sizes (majority and minority), as originally proposed by Palfrey and Rosenthal (Public Choice 41(1):7–53, 1983). We find a unique equilibrium wherein the minority votes with certainty and the majority votes with probability in (0, 1); we prove that this is the only equilibrium in which voters of only one group play a pure strategy, and we provide sufficient conditions for its existence. Equilibria where voters of both groups vote with probability in (0, 1) are analyzed numerically.

Suggested Citation

  • Christos Mavridis & Marco Serena, 2018. "Complete information pivotal-voter model with asymmetric group size," Public Choice, Springer, vol. 177(1), pages 53-66, October.
    • Handle: RePEc:kap:pubcho:v:177:y:2018:i:1:d:10.1007_s11127-018-0585-6
    DOI: 10.1007/s11127-018-0585-6
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    4. Nöldeke, Georg & Peña, Jorge, 2016. "The symmetric equilibria of symmetric voter participation games with complete information," Games and Economic Behavior, Elsevier, vol. 99(C), pages 71-81.
    5. Tilman Borgers, 2004. "Costly Voting," American Economic Review, American Economic Association, vol. 94(1), pages 57-66, March.
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    8. Thomas Palfrey & Howard Rosenthal, 1983. "A strategic calculus of voting," Public Choice, Springer, vol. 41(1), pages 7-53, January.
    9. Taylor, Curtis R. & Yildirim, Huseyin, 2010. "A unified analysis of rational voting with private values and group-specific costs," Games and Economic Behavior, Elsevier, vol. 70(2), pages 457-471, November.
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    Cited by:

    1. Mavridis, Christos & Serena, Marco, 2021. "Complete information pivotal-voter model with asymmetric group size and asymmetric benefits," European Journal of Political Economy, Elsevier, vol. 67(C).
    2. Michael Müller & Clemens Puppe, 2023. "Strategy-proofness implies minimal participation under single-peakedness," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 131-151, April.
    3. Nöldeke, Georg & Peña, Jorge, 2020. "Group size and collective action in a binary contribution game," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 42-51.
    4. Christos Mavridis & Marco Serena, 2019. "Complete Information Pivotal-Voter Model with Asymmetric Group Size and Asymmetric Beneï¬ ts," Working Papers tax-mpg-rps-2019-17_2, Max Planck Institute for Tax Law and Public Finance.
    5. Müller, Michael & Puppe, Clemens, 2020. "Strategy-proofness and responsiveness imply minimal participation," Working Paper Series in Economics 138, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.

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