Nash equilibrium in compact‐continuous games with a potential

Nash equilibrium in compact‐continuous games with a potential

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Article ID: iaor20116139
Volume: 40
Issue: 2
Start Page Number: 387
End Page Number: 392
Publication Date: May 2011
Journal: International Journal of Game Theory
Authors:
Keywords: Nash equilibrium
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 (pure strategy) 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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