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

页码：21 / 34

页数：14

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