Bijective Class of Replicator Equations

被引：0

作者：

Mukhamedov, F. M. ^{[1
]}

Pah, Ch. H. ^{[2
]}

Rosli, A. ^{[3
]}

机构：

[1] United Arab Emirates Univ, Dept Math Sci, Abu Dhabi 15551, U Arab Emirates

[2] Int Islamic Univ Malaysia, Dept Computat & Theoret Sci, Fac Sci, Kuantan 25710, Pahang, Malaysia

[3] Univ Teknol Malaysia, Dept Math Sci, Johor Baharu 81310, Johor, Malaysia

来源：

MATHEMATICAL NOTES | 2024年 / 116卷 / 5-6期

关键词：

Lotka-Volterra operator; bijection; evolutionary game; stochastic; VOLTERRA; STABILITY; MODELS;

D O I：

10.1134/S0001434624110191

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Rock-Paper-Scissors game serves as a crucial toy model in understanding evolutionary dynamics, leading to the formulation of a replicator equation. This paper introduces a comprehensive and enduring category of replicator equations derived from expanding functions. It is established that such equations are bijections of the 2D simplex. The current investigation allows further exploration of inverse dynamical behavior of the replicator equations.

引用

页码：1072 / 1079

页数：8

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