The Hotelling bi-matrix game

被引：0
|
作者：
Pierre von Mouche
Willem Pijnappel
机构：
来源：
Optimization Letters | 2018年 / 12卷
关键词：
Bi-matrix game; Demi-modality; Hotelling; Location theory; Nash equilibrium; Tarski fixed point theorem;
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学科分类号：
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.
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页码：187 / 202
页数：15
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