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On participation games with complete information

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  • Tasos Kalandrakis

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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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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 35 (2007)
Issue (Month): 3 (February)
Pages: 337-352

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Handle: RePEc:spr:jogath:v:35:y:2007:i:3:p:337-352

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Related research

Keywords: Turnout; Public goods; Regular equilibrium; Monotone equilibrium; C72; D72;

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  1. Francesco De Sinopoli & Giovanna Iannantuoni, 2002. "On The Generic Strategic Stability Of Nash Equilibria If Voting Is Costly," Economics Working Papers we025620, Universidad Carlos III, Departamento de Economía.
  2. 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.
  3. 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.
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Cited by:
  1. Tasos Kalandrakis, 2009. "Robust rational turnout," Economic Theory, Springer, vol. 41(2), pages 317-343, November.

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