有限理性下不确定性模糊博弈强Berge均衡的稳定性及博弈的良定性

Stability of Strong Berge Equilibrium and Well-Posedness of Uncertain Fuzzy Game under Limited Rationality

本文不仅考虑了现实经济中经济人的不完全理性以及来自外界环境的不确定参数的变化,而且还通过考虑博弈中的决策者策略集的不确定性,引入了模糊参数。首先,本文建立了有限理性下的不确定性模糊博弈模型,通过构造理性函数,并研究其性质,得到该博弈模型的模糊强Berge均衡的结构稳定性和鲁棒性结果。其次,研究了有限理性下的不确定性模糊博弈的良定性问题。

This paper not only considers the imperfect rationality of the economic man in the real economy and the change of uncertain parameters from the external environment, but also introduces fuzzy parameters by considering the uncertainty of the decision maker’s strategy set in the game. First of all, this paper establishes an uncertain fuzzy game model under bounded rationality. By constructing a rational function and studying its properties, we obtain the structural stability and robustness results of the fuzzy strong Berge equilibrium of the game model. Secondly, the well-posedness problem of uncertain fuzzy game under bounded rationality is studied.