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On continuous ordinal potential games [PDF]

, 2010
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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Ordinal potentials in smooth games

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Computing All Equilibria in Ordinal Graphical Games

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A Potential Approach for Ordinal Games

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Norde, H.W., Patrone, F.
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