Pseudocontinuous functions and existence of Nash equilibria

被引：37

作者：

Morgan, Jacqueline ^{[1
]}

Scalzo, Vincenzo ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Stat, I-80126 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL ECONOMICS | 2007年 / 43卷 / 02期

关键词：

non cooperative game; Nash equilibrium; pseudocontinuous function; numerical representation of a preference; maximum theorem;

D O I：

10.1016/j.jmateco.2006.10.004

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In topological spaces, we introduce a new class of functions (pseudocontinuous functions) and we present some characterizations and properties. In particular, we show that any preference relation endowed of utility functions is continuous if and only if any utility is pseudocontinuous. A maximum theorem is proved for such a class of functions and connections with similar results are investigated. Finally, the existence of Nash equilibria for games with pseudocontinuous payoffs is obtained. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：174 / 183

页数：10

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