Title: Generalized Nash Equilibrium and Switched Control in Game Theory
Abstract: A new concept of generalized Nash equilibrium is introduced by coupling it with each player's incentive. There are two type of incentive: his/her own expected utility payff and the opponent's utility payoff. If each player is rational and intends to maximize his/her own expected utility payoff, then it will yield a conventional Nash equilibrium (also the fret type of generalized Nash equilibrium). On the other hand, if each player is wise and intends to maximize the opponent's utility payoff, then the second type of generalized Nash equilibrium is obtained. This extension may be an effcient way to apply the concept of Nash equilibrium to the cooperative game. Furthermore, the concept of switched control is used to help each player determine his/her incentive.
Publication Year: 2006
Publication Date: 2006-01-01
Language: en
Type: article
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Cited By Count: 3
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