PERMANENCE IN POLYMATRIX REPLICATORS

被引：1
|
作者：
Peixe, Telmo [1 ]
机构：
[1] Univ Lisbon, ISEG Lisbon Sch Econ & Management, REM Res Econ & Math, CEMAPRE Ctr Matemat Aplicada Previsao & Decisdo E, Lisbon, Portugal
来源：
JOURNAL OF DYNAMICS AND GAMES | 2021年 / 8卷 / 01期
关键词：
Permanence; replicator equation; Lotka-Volterra; polymatrix replicator; evolutionary game theory; BEHAVIOR; THEOREM;
D O I：
10.3934/jdg.2020032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Generally a biological system is said to be permanent if under small perturbations none of the species goes to extinction. In 1979 P. Schuster, K. Sigmund, and R. Wolff [15] introduced the concept of permanence as a stability notion for systems that models the self-organization of biological macromolecules. After, in 1987 W. Jansen [9], and J. Hofbauer and K. Sigmund [6] give sufficient conditions for permanence in the replicator equations. In this paper we extend these results for polymatrix replicators.
引用
收藏
页码：21 / 34
页数：14
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