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Complete Information Pivotal-Voter Model with Asymmetric Group Size

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  • Christos Mavridis
  • Marco Serena

Abstract

In this note, we characterize the equilibria of the standard pivotal-voter participation game between two groups of voters of asymmetric sizes, as originally proposed by Palfrey and Rosenthal [1983. A strategic calculus of voting. Public Choice. 41, 7-53].

Suggested Citation

  • Christos Mavridis & Marco Serena, 2018. "Complete Information Pivotal-Voter Model with Asymmetric Group Size," Working Papers tax-mpg-rps-2018-07, Max Planck Institute for Tax Law and Public Finance.
  • Handle: RePEc:mpi:wpaper:tax-mpg-rps-2018-07
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    References listed on IDEAS

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    1. Ales, Laurence & Carapella, Francesca & Maziero, Pricila & Weber, Warren E., 2008. "A model of banknote discounts," Journal of Economic Theory, Elsevier, vol. 142(1), pages 5-27, September.
    2. Tilman Borgers, 2004. "Costly Voting," American Economic Review, American Economic Association, vol. 94(1), pages 57-66, March.
    3. Levine, David K. & Palfrey, Thomas R., 2007. "The Paradox of Voter Participation? A Laboratory Study," American Political Science Review, Cambridge University Press, vol. 101(1), pages 143-158, February.
    4. Stefano Demichelis & Amrita Dhillon, 2010. "Learning in Elections and Voter Turnout," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(5), pages 871-896, October.
    5. Thomas Palfrey & Howard Rosenthal, 1983. "A strategic calculus of voting," Public Choice, Springer, vol. 41(1), pages 7-53, January.
    6. 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.
    7. 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.
    8. Sergiu Hart & Zohar Levy, 1999. "Efficiency Does Not Imply Immediate Agreement," Econometrica, Econometric Society, vol. 67(4), pages 909-912, July.
    9. Schram, Arthur & Sonnemans, Joep, 1996. "Voter Turnout as a Participation Game: An Experimental Investigation," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(3), pages 385-406.
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    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. 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.
    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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    Keywords

    Costly voting; pivotal voter model; complete information;
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