Geodesic
Cooperative Optimality Concepts for Games with Preference Relations
Contributions to game theory and management, Tome 4 (2011), pp. 421-432.

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In this paper we consider games with preference relations. The cooperative aspect of a game is connected with its coalitions. The main optimality concepts for such games are concepts of equilibrium and acceptance. We introduce a notion of coalition homomorphism for cooperative games with preference relations and study a problem concerning connections between equilibrium points (acceptable outcomes) of games which are in a homomorphic relation. The main results of our work are connected with finding of covariant and contrvariant homomorphisms.
Keywords: Nash equilibrium, Equilibrium, Acceptable outcome, Coalition homomorphism. 
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     author = {Tatiana F. Savina},
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Tatiana F. Savina. Cooperative Optimality Concepts for Games with Preference Relations. Contributions to game theory and management, Tome 4 (2011), pp. 421-432. http://geodesic.mathdoc.fr/item/CGTM_2011_4_a31/

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[2] Rozen V. V., “Cooperative Games with Ordered Outcomes”, Collected abstracts of papers presented on the Third International Conference Game Theory and Management, Game Theory and Management, Graduate School of Management SPbU, SPb., 2009, 221–222

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