The stability of imitation dynamics with discrete distributed delays

被引：11
|
作者：
Hu, Wenjun [1 ,2 ]
Zhang, Gang [1 ]
Tian, Haiyan [1 ]
机构：
[1] Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
[2] Lvliang Univ, Dept Math, Lishi 033000, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 521卷
基金：
中国国家自然科学基金;
关键词：
Evolutionary games; Stability; Imitation dynamics; Discrete delays; EVOLUTIONARILY STABLE STRATEGIES; SNOWDRIFT GAME;
D O I：
10.1016/j.physa.2019.01.045
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper investigates the stability in a new model of imitation dynamics with discrete distributed delays. Some sufficient conditions of the asymptotical stability for the interior Nash equilibrium of the imitation dynamics with multiple-delay are obtained. Finally, numerical experiments are displayed which support the theoretical results through the Snowdrift game. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：218 / 224
页数：7
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