Munich Personal RePEc Archive

On continuous ordinal potential games

Kukushkin, Nikolai S. (2010): On continuous ordinal potential games.


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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.

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