Bijective class of replicator equations

Mukhamedov, F M and Pah, Chin Hee and Rosli, Azizi (2025) Bijective class of replicator equations. Mathematical Notes, 116 (5-6). pp. 1072-1079. ISSN 0001-4346 E-ISSN 1573-8876

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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.

Item Type:	Article (Journal)
Additional Information:	5826/120308
Uncontrolled Keywords:	Lotka–Volterra operator, bijection, evolutionary game, stochastic
Subjects:	Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences Kulliyyah of Science
Depositing User:	DR. CHIN HEE PAH
Date Deposited:	20 Mar 2025 08:45
Last Modified:	20 Mar 2025 08:49
URI:	http://irep.iium.edu.my/id/eprint/120308

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