摘要
利用Ky Fan不等式证明了一类多主从博弈平衡点的存在性,并且定义了此类多主从博弈的有限理性函数.在非线性问题的良定性的框架下,使用有限理性证明了此类多主从博弈问题是广义Had-amard良定的和广义Tykhonov良定的.
Ky Fan's Inequality was applied to prove the existence of equilibrium points of a class of multi-leader-follower games, and the rationality function for the multi leader-follower games was defined. Under well posedness for nonlinear prob lems frame, by using the rationality function of the multi-leader-follower games, we prove the multi-leader-follower games are generalized Hadamard well posedness and generalized Tykhonov well posedness.
出处
《经济数学》
2012年第3期16-19,共4页
Journal of Quantitative Economics
基金
贵州省科技厅自然科学基金资助项目([2012]2289)
关键词
多主从博弈
存在性
有限理性函数
良定性
multi-leader-follower games
bounded rationality funetion
existence
well posedness