Determinacy of equilibrium in outcome game forms

Cristian Litan, Francisco Marhuenda () and Peter Sudhölter

Journal of Mathematical Economics, 2015, vol. 60, issue C, 28-32

Abstract: We show the generic finiteness of the number of probability distributions on outcomes induced by Nash equilibria for two-person game forms such that either (i) one of the players has no more than two strategies or (ii) both of the players have three strategies, and (iii) for outcome game forms with three players, each with at most two strategies. Finally, we exhibit an example of a game form with three outcomes and three players for which the Nash equilibria of the associated game induce a continuum of payoffs for an open non-empty set of utility profiles.

Keywords: Outcome game form; Completely mixed Nash equilibrium; Generic finiteness (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Related works:
Working Paper: Determinacy of Equilibrium in Outcome Game Forms (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:60:y:2015:i:c:p:28-32

DOI: 10.1016/j.jmateco.2015.06.003

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