On Participation Games with Complete Information
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.
|Date of creation:||Oct 2005|
|Date of revision:|
|Contact details of provider:|| Postal: University of Rochester, Wallis Institute, Harkness 109B Rochester, New York 14627 U.S.A.|
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- 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.
- 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, 02.
- Iannantuoni, Giovanna & De Sinopoli, Francesco, 2002. "On the generic strategic stability of nash equilibria if voting is costly," UC3M Working papers. Economics we025620, Universidad Carlos III de Madrid. Departamento de Economía.
- 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.
- 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.
- 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.
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