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On participation games with complete information

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  • Tasos Kalandrakis

Abstract

We analyze a class of two-candidate voter participation games under complete information that encompasses as special cases certain public good provision games. We characterize the Nash equilibria of these games as stationary points of a non-linear programming problem, the objective function of which is a Morse function (one that does not admit degenerate critical points) for almost all costs of participation. We use this fact to establish that, outside a closed set of measure zero of participation costs, all equilibria of these games are regular (an alternative to the result of De Sinopoli and Iannantuoni, 2005). One consequence of regularity is that the equilibria of these games are robust to the introduction of (mild) incomplete information. Finally, we establish the existence of monotone Nash equilibria, such that players with higher participation cost abstain with (weakly) higher probability.
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  • Tasos Kalandrakis, 2007. "On participation games with complete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 35(3), pages 337-352, February.
    • Handle: RePEc:spr:jogath:v:35:y:2007:i:3:p:337-352
    DOI: 10.1007/s00182-006-0049-y
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    References listed on IDEAS

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    1. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    2. Govindan, Srihari & Reny, Philip J. & Robson, Arthur J., 2003. "A short proof of Harsanyi's purification theorem," Games and Economic Behavior, Elsevier, vol. 45(2), pages 369-374, November.
    3. Timothy J. Feddersen, 2004. "Rational Choice Theory and the Paradox of Not Voting," Journal of Economic Perspectives, American Economic Association, vol. 18(1), pages 99-112, Winter.
    4. Francesco Sinopoli & Giovanna Iannantuoni, 2005. "On the generic strategic stability of Nash equilibria if voting is costly," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(2), pages 477-486, February.
    5. Palfrey, Thomas R. & Rosenthal, Howard, 1985. "Voter Participation and Strategic Uncertainty," American Political Science Review, Cambridge University Press, vol. 79(1), pages 62-78, March.
    6. Thomas Palfrey & Howard Rosenthal, 1983. "A strategic calculus of voting," Public Choice, Springer, vol. 41(1), pages 7-53, January.
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    Cited by:

    1. Tasos Kalandrakis, 2009. "Robust rational turnout," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 41(2), pages 317-343, November.
    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. 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.
    4. 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).

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    More about this item

    Keywords

    Turnout; Public goods; Regular equilibrium; Monotone equilibrium; C72; D72;
    All these keywords.

    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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