Journal Articles International Journal of Game Theory Year : 2009

Existence of pure Nash equilibria in discontinuous and non quasiconcave games

Abstract

In a recent but well known paper, Reny has proved the existence of Nash equilibria for compact and quasiconcave games, with possibly discontinuous payoff functions. In this paper, we prove that the quasiconcavity assumption in Reny's theorem can be weakened: we introduce a measure allowing to localize the lack of quasiconcavity, which allows to refine the analysis of equilibrium existence

Dates and versions

hal-00750953 , version 1 (12-11-2012)

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Philippe Bich. Existence of pure Nash equilibria in discontinuous and non quasiconcave games. International Journal of Game Theory, 2009, 38 (3), pp.395-410. ⟨10.1007/s00182-009-0160-y⟩. ⟨hal-00750953⟩
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