A generalized Amman's fixed point theorem and its application to Nash equlibrium

Acta Mathematica Academiae Paedagogicae Nyíregyháziensis

Abdelkader Stouti¹ 

[1] University Cadi Ayyad

关键词: Nash equilibrium.;   

DOI  :  

学科分类：数学（综合）

来源: Academia Paedagogica Nyiregyhaziensis. Acta Mathematica

【 摘 要 】

In this paper, we first give a generalization of Amann's fixed point theorem. By using the duality principle, we obtain the existence of the greatest fixed point for monotone set-valued maps. As application we apply our results to show that the set of Nash equilibrium of a subcategory of D'Orey's extended supermodular game has a least and a greatest elements.

【 授权许可】

Unknown