A REACTION-DIFFUSION SYSTEM ARISING IN GAME THEORY: EXISTENCE OF SOLUTIONS AND SPATIAL DOMINANCE

被引：0

作者：

Deguchi, Hideo ^{[1
]}

机构：

[1] Toyama Univ, Dept Math, 3190 Gofuku, Toyama 9308555, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2017年 / 22卷 / 10期

关键词：

Reaction-diffusion system; discontinuous nonlinearities; initial value problem; existence; stability; equilibrium selection; game theory; INITIAL-VALUE PROBLEMS; WEAK SOLUTIONS; DISCONTINUOUS NONLINEARITIES; EQUILIBRIUM; EQUATION;

D O I：

10.3934/dcdsb.2017200

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The initial value problem for a reaction-diffusion system with discontinuous nonlinearities proposed by Hofbauer in 1999 as an equilibrium selection model in game theory is studied from the viewpoint of the existence and stability of solutions. An equilibrium selection result using the stability of a constant stationary solution is obtained for finite symmetric 2 person games with a 1/2-dominant equilibrium.

引用

页码：3891 / 3901

页数：11

共 15 条

[1]

[Anonymous], 1988, General Theory of Equilibrium Selection in Games

[2] Existence, uniqueness and non-uniqueness of weak solutions of parabolic initial-value problems with discontinuous nonlinearities [J].