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Games with discontinuous payoffs: a strengthening of Reny's existence theorem

McLennan, Andrew; Monteiro, Paulo K; Tourky, Rabee


We provide a pure Nash equilibrium existence theorem for games with discontinuous payoffs whose hypotheses are in a number of ways weaker than those of the theorem of Reny (1999). In comparison with Reny's argument, our proof is brief. Our result subsumes a prior existence result of Reny (1999) that is not covered by his theorem. We use the main result to prove the existence of pure Nash equilibrium in a class of finite games in which agents' pure strategies are subsets of a given set, and in...[Show more]

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
Source: Econometrica
DOI: 10.3982/ECTA8949


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