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Coalitional Equilibria of Strategic Games

Rida Laraki ()
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Rida Laraki: X-DEP-ECO - Département d'Économie de l'École Polytechnique - X - École polytechnique - IP Paris - Institut Polytechnique de Paris

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Abstract: Let N be a set of players, C the set of permissible coalitions and G an N-playerstrategic game. A profile is a coalitional-equilibrium if no coalition permissible coalition in C has a unilateral deviation that profits to all its members. Nash-equilibria consider only single player coalitions and Aumann strong-equilibria permit all coalitions to deviate. A new fixed point theorem allows to obtain a condition for the existence of coalitional equilibria that covers Glicksberg for the existence of Nash-equilibria and is related to Ichiishi's condition for the existence of Aumann strong-equilibria.

Keywords: Fixed point theorems; maximum of non-transitive preferences; Nash and strong equilibria; coalitional equilibria; Théorème de points fixes; maximum d'une préférence non transitive; équilibre de Nash; équilibre fort de Aumann; équilibre coalitionnel (search for similar items in EconPapers)
Date: 2009-11-02
Note: View the original document on HAL open archive server: https://hal.science/hal-00429293
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