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On the Generic Finiteness of Equilibrium Outcome Distributions in Bimatrix Game Forms

Kukushkin, Nikolai S.; Litan, Cristian M. and Marhuenda, Francisco (2007): On the Generic Finiteness of Equilibrium Outcome Distributions in Bimatrix Game Forms. Unpublished.

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Abstract

We provide an example of an outcome game form with two players for which there is in an open set of utilities for both players such that, in each of the associated games, the set of mixed Nash equilibria induces a continuum of outcome distributions.

Item Type:MPRA Paper
Language:English
Keywords:Game form; Mixed Nash equilibrium; Generic finiteness
Subjects:C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games
ID Code:3350
Deposited By:Nikolai S. Kukushkin
Deposited On:29. May 2007
Last Modified:07. Nov 2007 03:08
References:

S. Govindan and A. McLennan (2001) On the Generic Finiteness of Equilibrium Outcome Distributions in Game Forms. Econometrica 69, 455--471.

S. Govindan and A. McLennan (2001) Direct Proofs of Generic Finiteness of Nash Equilibrium Outcomes. Econometrica 69, 765--769.

J.C. Harsanyi (1973) Oddness of the Number of Equilibrium Points: A New Proof. International Journal of Game Theory 2, 235--250.

D.M. Kreps and R. Wilson (1982) Sequential Equilibria. Econometrica 50, 863--894.

A. Mas-Colell (1994) Generic Finiteness of Equilibrium Payoffs for Bimatrix Games. Mimeo, Harvard University.

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