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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.

Item Type: MPRA Paper -

Original Title: On continuous ordinal potential games-

Language: English-

Keywords: potential game; compact-continuous game; finite improvement property-

Subjects: C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games-

Author: Kukushkin, Nikolai S.

Source: https://mpra.ub.uni-muenchen.de/20713/

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