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在已知不确定参数变化范围的假设下,研究了多目标博弈中弱Pareto-NS均衡点的存在性问题.首先结合非合作博弈中NS-均衡的定义,给出不确定性下多目标博弈中弱Pareto-NS均衡的定义.进一步借助Fan-Glicksberg不动点定理,证明弱Pareto-NS均衡点的存在性.最后给出算例,验证其可行性.
Under the assumption that the range of uncertain parameters is known, the existence of weak Pareto-NS equilibrium in multi-objective game is studied.Firstly, based on the definition of NS-equilibrium in non-cooperative game, the multi-objective game under uncertainty We also define the existence of weak Pareto-NS equilibrium by using the Fan-Glicksberg fixed point theorem. Finally, an example is given to verify its feasibility.