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On Participation Games with Complete Information

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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

Paper provided by University of Rochester - Wallis Institute of Political Economy in its series Wallis Working Papers with number WP40.

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Length: 15 pages
Date of creation: Oct 2005
Date of revision:
Handle: RePEc:roc:wallis:wp40

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Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.

Related research

Keywords: Turnout; Public Goods; Regular Equilibrium; Monotone Equilibrium.;

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  1. 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.
  2. Francesco De Sinopoli & Giovanna Iannantuoni, 2003. "On the Generic Strategic Stability of Nash Equilibria if Voting is Costly," CEIS Research Paper 41, Tor Vergata University, CEIS.
  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, 2006. "Robust Rational Turnout," Wallis Working Papers WP44, University of Rochester - Wallis Institute of Political Economy.

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