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Article Dans Une Revue International Journal of Game Theory Année : 2009

Existence of pure Nash equilibria in discontinuous and non quasiconcave games

Résumé

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 et 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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