Equilibrium existence in games: Slight single deviation property and Ky Fan minimax inequality

Vincenzo Scalzo

Journal of Mathematical Economics, 2019, vol. 82, issue C, 197-201

Abstract: In this paper, we exhibit a relation between the Nash equilibrium existence problem in ordinal games and the Ky Fan minimax inequality. In this way, we obtain new sufficient conditions for the existence of equilibria. The main tools used in the paper are a necessary condition introduced in Nassah and Tian (2016) for normal form games and a generalization of the single deviation property. Examples compare our result with the previous ones.

Keywords: Discontinuous ordinal games; Ky Fan minimax inequality; Existence of Nash equilibria (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:mateco:v:82:y:2019:i:c:p:197-201

DOI: 10.1016/j.jmateco.2019.02.008

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