Bijective Class of Replicator Equations

F. M. Mukhamedov; Ch H. Pah; A. Rosli

doi:10.1134/S0001434624110191

Bijective Class of Replicator Equations

F. M. Mukhamedov, Ch H. Pah, A. Rosli

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

Abstract: 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.

Original language	English
Pages (from-to)	1072-1079
Number of pages	8
Journal	Mathematical Notes
Volume	116
Issue number	5
DOIs	https://doi.org/10.1134/S0001434624110191
Publication status	Published - Dec 2024

Keywords

bijection
evolutionary game
Lotka–Volterra operator
stochastic

ASJC Scopus subject areas

General Mathematics

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abstract = "Abstract: 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.",

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author = "Mukhamedov, {F. M.} and Pah, {Ch H.} and A. Rosli",

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N2 - Abstract: 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.

AB - Abstract: 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.

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KW - evolutionary game

KW - Lotka–Volterra operator

KW - stochastic

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Bijective Class of Replicator Equations

Abstract

Keywords

ASJC Scopus subject areas

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