Work

Bijective Class of Replicator Equations

Year: 2024

Type: article

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.

Source: Mathematical Notes

DOI: 10.1134/s0001434624110191

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

Institutions: United Arab Emirates University, International Islamic University Malaysia, University of Technology Malaysia

Language: English

Topic: Evolutionary Game Theory and Cooperation

Subfield: Sociology and Political Science

Field: Social Sciences

Domain: Social Sciences

Open Access status: green

OpenAlex ID: W4407345696

FWCI:

Cites: 31

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Related to: 10