Core of a repeated n-person stochastic cooperative game
Wang Cai-hong
Abstract
Wang Cai-hong
Abstract
Taking the model of stochastic cooperative game introduced by Suijs,et al.in 1995 as a base,this paper defines the conception of repeated stochastic cooperatvive game,the conception of its domination of payoff allocation sequence and the conception of the core of this game.Finally,it gives the character of the core of a repeated stochastic cooperative game and extends the notions of superadditivity and convexity in the game.
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Taking the model of stochastic cooperative game introduced by Suijs,et al.in 1995 as a base,this paper defines the conception of repeated stochastic cooperatvive game,the conception of its domination of payoff allocation sequence and the conception of the core of this game.Finally,it gives the character of the core of a repeated stochastic cooperative game and extends the notions of superadditivity and convexity in the game.
Key concepts: Superadditivity, Stochastic game, Mathematical economics, Core (optical fiber), Repeated game, Mathematics, Bondareva–Shapley theorem, Convexity