The single deviation property in games with discontinuous payoffs

Pavlo Prokopovych

Economic Theory, 2013, vol. 53, issue 2, 383-402

Abstract: We study equilibrium existence in normal form games in which it is possible to associate with each nonequilibrium point an open neighborhood, a set of players, and a collection of deviation strategies, such that at any nonequilibrium point of the neighborhood, a player from the set can increase her payoff by switching to the deviation strategy designated for her. An equilibrium existence theorem for compact, quasiconcave games with two players is established as an application of a general equilibrium existence result for qualitative games. A new form of the better-reply security condition, called the strong single deviation property, is proposed. Copyright Springer-Verlag 2013

Keywords: Better-reply secure game; Discontinuous game; Single deviation property; Majorized correspondence; Qualitative game; C65; C72 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (33)

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DOI: 10.1007/s00199-012-0696-0

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