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Regular version of the site

Book chapter

Cooperative Optimality Concepts for Games with Preference Relations

P. 421-432.

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 contravariant homomorphisms.

In book

Iss. 4. St. Petersburg: Graduate School of Management, St. Petersburg University, 2011.