The Hotelling bi-matrix game

被引：0
|
作者：
von Mouche, Pierre [1 ]
Pijnappel, Willem [2 ]
机构：
[1] Postbus 6700, NL-6700 EW Wageningen, Netherlands
[2] Spechtstr 72, NL-5932 VK Tegelen, Netherlands
来源：
OPTIMIZATION LETTERS | 2018年 / 12卷 / 01期
关键词：
Bi-matrix game; Demi-modality; Hotelling; Location theory; Nash equilibrium; Tarski fixed point theorem; STRATEGY EQUILIBRIUM;
D O I：
10.1007/s11590-015-0964-6
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We study the pure equilibrium set for a specific symmetric finite game in strategic form, referred to as the Hotelling bi-matrix game. General results that guarantee non-emptiness of this set (for all parametric values) do not seem to exist. We prove non-emptiness by determining the pure equilibrium set. In this proof so-called demi-modality properties of the conditional payoff functions play an important role.
引用
收藏
页码：187 / 202
页数：16
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