Research on Equilibrium Solutions for Incomplete Information Games Considering Both Expectation and Variance
In this paper,variance is introduced into incomplete information static games.By setting the upper bound of variance,the feasible strategy set is obtained for each player,then Nash equilibria are defined by maximizing expected payoffs within the feasible strategy sets.First,the existence of Nash equilibria for such games is proved by Kakutani fixed point theorem.Second,the stability of Nash equilibria for such games is studied.The results show that most games are essential when payoff functions are disturbed.Finally,an example namely incomplete information static Cournot game is given to verify the existence of Nash equilibria for such games.
Incomplete information gamesexpectationvarianceNash equilibriaexistencestability
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