Nash equilibrium

Optimality Solutions in Games with Preference Relations

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.

Equilibrium in Games with Ordered Outcomes

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.