Stackelberg博弈均衡点的存在性及通有存在性

摘要

针对具有一个领导者和一个跟随者的Stackelberg博弈模型,考虑两种情况:(i)没有凸性条件；(ii)没有凸性条件且减弱连续性.并利用非线性分析方法,证明了在这两种情况下的Stackelberg博弈均衡点的存在性及通有存在性的结论,这些结论改进了Basar T,Olsder G J的结论[1].%Aiming at Stackelberg game the other is model with one leader and one follower, two cases are considered; (I)one is without any convexity assumption; (ii) without any convexity assumption and weakened conditions of continuity. In order to solve the model, the method of nonlinear analysis is used. We establish existence and generic results for equilibria of the game under the two cases. Our results improve the result of Basar T, Ols-derGJm.