Geodesic
Homomorphisms and Congruence Relations for Games with Preference Relations
Contributions to game theory and management, Tome 3 (2010), pp. 387-398

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we consider games with preference relations. The main optimality concept for such games is concept of equilibrium. We introduce a notion of homomorphism for games with preference relations and study a problem concerning connections between equilibrium points of games which are in a homomorphic relation. The main result is finding covariantly and contravariantly complete families of homomorphisms.
Keywords: homomorphism, equilibrium points, Nash equilibrium, game with preference relations. 
@article{CGTM_2010_3_a28,
     author = {Tatiana F. Savina},
     title = {Homomorphisms and {Congruence} {Relations} for {Games} with {Preference} {Relations}},
     journal = {Contributions to game theory and management},
     pages = {387--398},
     publisher = {mathdoc},
     volume = {3},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2010_3_a28/}
}
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Tatiana F. Savina. Homomorphisms and Congruence Relations for Games with Preference Relations. Contributions to game theory and management, Tome 3 (2010), pp. 387-398. http://geodesic.mathdoc.fr/item/CGTM_2010_3_a28/