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在已知不确定参数变化范围的假设下,研究多主从博弈中均衡点的存在性问题.基于非合作博弈中NS均衡的定义,提出不确定性下多主从博弈中均衡的概念.基于Fan-Glicksberg不动点定理,证明均衡点的存在性.最后通过算例验证了所提出方法的可行性.
Under the assumption that the range of uncertain parameters is known, the existence of equilibrium points in multi-master-slave game is studied. Based on the definition of NS equilibrium in non-cooperative game, the concept of equilibrium in multi-master-slave game under uncertainty is proposed. Fan-Glicksberg fixed point theorem to prove the existence of equilibrium point. Finally, a numerical example is given to verify the feasibility of the proposed method.