The Stability of Some Equilibriums in the Coalition Game
The definition of quasi-equilibrium in the coalition game is introduced in this paper.By using the stability theory of the vector function optimization, we obtain a stability theorem of the quasi-equilibrium. Finally, the stability problem of the s-equilibrium is discussed with the same method and a stability theorem of the s-equilibrium is obtained.In this paper, the general J-equilibrium is included in the quasi-equilibrium, hence the stability theorem of the quasi-equilibrium is more universal and practical.
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