Three-Player Games with Strategy-Dependent Time Delays

被引：13
作者：
Bodnar, Marek [1 ]
Miekisz, Jacek [1 ]
Vardanyan, Raffi [1 ]
机构：
[1] Univ Warsaw, Inst Appl Math & Mech, Banacha 2, PL-02097 Warsaw, Poland
来源：
DYNAMIC GAMES AND APPLICATIONS | 2020年 / 10卷 / 03期
关键词：
Evolutionary game theory; Multi-player games; Replicator dynamics; Time delays; EVOLUTIONARILY STABLE STRATEGIES; STOCHASTIC STABILITY; MULTIPLAYER GAMES; COLLECTIVE ACTION; DYNAMICS; DISCRETE;
D O I：
10.1007/s13235-019-00340-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We analyze replicator dynamics with strategy-dependent time delays in a certain three-player game with one pure and two mixed Nash equilibria. In such a model, new players are born from parents who interacted in the past. We show that stationary states depend on time delays. Moreover, at certain time delays, interior equilibria cease to exist.
引用
收藏
页码：664 / 675
页数：12
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