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Optimality Solutions in Games with Preference Relations

Authors: Savina T. F.

For n person games with preference relations some types of optimality solutions are introduced. Elementary properties of their solutions are considered. One sufficient condition for nonempty Cα-core is found.

Covariant and Contrvariant Homomorphisms of Games with Preference Relations

Authors: Savina T. F.

We consider Nash equilibrium and some its modifications as principles of optimality for games with preference relations. For description of the optimal solutions of games with preferencerelations covariantly and contrvariantly complete families of homomorphisms are introduced.

Equilibrium in Games with Ordered Outcomes

Authors: Rozen V. V.

We consider some conditions of existence of equilibrium points in mixed extensions of games with ordered outcomes.General methods for description of the set of equilibrium points and also for Nash equilibrium points are proposed.