不确定性下的一主多从博弈及其ε-平衡稳定性分析

The One-Leader-Followers Games under Uncertainty and the Stability Analysis of 1-equilibrium

本文对主从博弈以及不确定性等问题进行研究,建立了不确定性下的一主多从博弈模型,并利用极大值定理证明了该模型均衡点的存在性。对于不确定性下的一主多从博弈的均衡点问题建立了有限理性模型,进而得到其均衡点的稳定性,即结构稳定以及对ε-平衡是鲁棒的。

In this paper, we discuss the Leader-Followers games and the uncertainty problems, and create a model of One-Leader-Followers games under uncertainty. Then we obtain the existence of Nash equilibrium for this kind of game by the maximum theorem. For the equilibrium of the One-Leader-Followers games under uncertainty, we establish the bounded rationality model and verify the stability such as structural stability and robust- ness for-equilibrium.