主从博弈的轻微利他平衡点  

Slightly altruistic equilibria of one-leader-follower games

作　　者：王晓[1] 邬冬华[1] 

机构地区：[1]上海大学理学院,上海200444

出　　处：《应用数学与计算数学学报》2015年第4期479-485,共7页Communication on Applied Mathematics and Computation

基　　金：上海自然科学基金资助项目(09ZR1411100);上海市重点学科建设资助项目(S30104)

摘　　要：针对一个领导者的主从博弈问题,研究轻微利他平衡点的存在性问题.首先,基于非合作博弈Nash均衡的概念,给出了主从博弈轻微利他Nash均衡的定义;然后,应用非线性问题稳定性理论,证明了平衡点的存在性.The existence of the slightly altruistic equilibria of one-leader-follower games is analyzed. On the basis of the Nash equilibrium for the noncooperative game, the equilibrium point for one-leader-follower games under slightly altruism is defined. Further, by using the stability of the nonlinear problem, the existence of the slightly altruistic equilibria in one-leader-follower games is proved.

关 键 词：NASH均衡 主从博弈 轻微利他平衡点 存在性 

分 类 号：O225[理学—运筹学与控制论]