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. 
@article{CGTM_2011_4_a31,
     author = {Tatiana F. Savina},
     title = {Cooperative {Optimality} {Concepts} for {Games} with {Preference} {Relations}},
     journal = {Contributions to game theory and management},
     pages = {421--432},
     publisher = {mathdoc},
     volume = {4},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2011_4_a31/}
}
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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/