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On Participation Games with Complete Information

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Author Info
Tasos Kalandrakis () (W. Allen Wallis Institute of Political Economy, 107 Harkness Hall, University of Rochester, Rochester, NY 14627-0158)

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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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File URL: http://www.wallis.rochester.edu/WallisPapers/wallis_40.pdf
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Publisher 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
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Handle: RePEc:roc:wallis:wp40

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Postal: UNIVERSITY OF ROCHESTER, Wallis Institute, HARKNESS 109B ROCHESTER NEW YORK 14627 U.S.A.

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

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Models of Political Processes: Rent-seeking, Elections, Legislatures, and Voting Behavior

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  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. [Downloadable!] (restricted)
  3. 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. [Downloadable!]
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  1. Tasos Kalandrakis, 2009. "Robust rational turnout," Economic Theory, Springer, vol. 41(2), pages 317-343, November. [Downloadable!] (restricted)
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