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Nash equilibrium with discontinuous utility functions: Reny's approach extended

Nikolai Kukushkin

MPRA Paper from University Library of Munich, Germany

Abstract: Philip Reny's approach to games with discontinuous utility functions can work outside its original context. The existence of Nash equilibrium, as well as the possibility to approach an equilibrium with a finite individual improvement path, are established, under a condition slightly weaker than the better reply security, for three classes of strategic games: potential games, games with strategic complementarities, and aggregative games with appropriate monotonicity conditions.

Keywords: better reply security; Nash equilibrium; potential game; game with strategic complementarities; aggregative game (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth, nep-hpe, nep-mic and nep-upt
Date: 2016-12-28
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