信息集广义多目标博弈弱Pareto-Nash平衡点的存在性和稳定性

Abstract

Abstract:

In this paper, the information sets generalized multiobjective game model is established by introducing information sets to the multiobjective game, and it is presented that the generalized multiobjective game, the generalized $n$-person game, the n-person noncooperative finite game as some special cases of the information sets generalized multiobjective game. Then the existence theorem of weakly Pareto-Nash equilibrium points for the information sets generalized multiobjective game is proved by using Fan-Glicksberg fixed point theorem. Furthermore, from the viewpoint of the essential solution and strongly essential solution, we prove that the generic stability and the existence of strongly essential component for information sets generalized multiobjective games.

Key words: information set, multiobjective game, essential solution, strongly essential solution, strongly essential component

CLC Number:

O225

JIA Wensheng, XIANG Shuwen. Existence and stability of weakly Pareto-Nash equilibrium points for information sets generalized multiobjective games[J]. Operations Research Transactions, 2015, 19(1): 9-17.

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Existence and stability of weakly Pareto-Nash equilibrium points for information sets generalized multiobjective games

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