Nash equilibrium with discontinuous utility functions: Reny's approach extended
MPRA Paper from University Library of Munich, Germany
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
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