On continuous ordinal potential games

Nikolai Kukushkin ()

MPRA Paper from University Library of Munich, Germany

Abstract: If the preferences of the players in a strategic game satisfy certain continuity conditions, then the acyclicity of individual improvements implies the existence of a Nash equilibrium. Moreover, starting from any strategy profile, an arbitrary neighborhood of the set of Nash equilibria can be reached after a finite number of individual improvements.

Keywords: potential game; compact-continuous game; finite improvement property (search for similar items in EconPapers)
JEL-codes: C72 (search for similar items in EconPapers)
Date: 2010-02-15
New Economics Papers: this item is included in nep-gth and nep-hpe
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