The Pareto Equilibrium of Fuzzy Two-person Game with Multi-goals

摘要

A model for seeking the Pareto equilibrium for fuzzy two-person game with multi-goals is provided.Including fuzzy goal functions,importance measure of goals and an aggregated game,the model can search the suitable Pareto equilibrium.Some results about fuzzy goals are presented and briefly discussed.Fuzzy measure is applied to the evaluation of the importance of interactable goals.A new game aggregated by Choquet integral is constructed.The new game's equilibrium is proved to be the Pareto equilibrium of two-person game.The numerical example shows again that the model which fits into the general framework can successfully fred the Pareto equilibrium.