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
Mots-clés : Coalition homomorphism.
Mots-clés : 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},
year = {2011},
volume = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CGTM_2011_4_a31/}
}
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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