一类非连续多目标博弈的Hadamard良定性  

Hadamard Well-posedness in a Class of Discontinuous Multiobjective Game

作　　者：魏红军[1] 李珂[1] 

机构地区：[1]郑州大学数学系,郑州450001

出　　处：《河南师范大学学报（自然科学版）》2010年第3期23-25,29,共4页Journal of Henan Normal University(Natural Science Edition)

摘　　要：通过引入n人非合作多目标博弈的若有效反应映射,证明了多目标博弈的弱Preto-Nash平衡点集在支付函数为伪连续条件下是非空紧集,并且研究了在支付函数和策略集均扰动情况下,伪连续多目标博弈的弱Pre-to-Nash平衡点的Hadamard良定性.By introducing the concept of weakly-efficient-reply correspondence,the existence of weakly Pareto-Nash equilibria for multiobjective games with pseudocontinuous payoffs is obtained.Then we provede that such class has the Hadamad well-posedness property in the case of disturbence of both the payoffs and the strategy sets.

关 键 词：伪连续 多目标博弈 弱Pareto-Nash平衡 Hadamard良定性 

分 类 号：O225[理学—运筹学与控制论]