research-article

Analysis and Simulations of the Rock-Paper-Scissors Game with Environmental Feedback

Authors:

Aatef HobinyAuthors Info & Claims

IPEC '22: Proceedings of the 3rd Asia-Pacific Conference on Image Processing, Electronics and Computers

Pages 547 - 551

https://doi.org/10.1145/3544109.3544310

Published: 18 July 2022 Publication History

Abstract

The classic Rock-Paper-Scissors (RPS) game has the only internal Nash Equilibrium (NE), which is not an Evolutionary Stable Strategy (ESS). Based on the replicator dynamics of evolutionary game theory, this paper considering the new RPS game that players have mutual feedback with environment, establishes a three-dimensional ordinary differential equation system. Through analysis and numerical simulations of this system, we prove the new RPS game has an ESS when the initial environment is not depleted and find three evolutionary internals including Evolutionary Equilibrium (EE) and periodic solutions.

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Cited By

Fahimur Rahman Shuvo MKabir K(2024)Investigating the impact of environmental feedback on the optional prisoner’s dilemma for insights into cyclic dominance and evolution of cooperationRoyal Society Open Science10.1098/rsos.24071711:10Online publication date: 23-Oct-2024
https://doi.org/10.1098/rsos.240717

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IPEC '22: Proceedings of the 3rd Asia-Pacific Conference on Image Processing, Electronics and Computers

April 2022

1065 pages

ISBN:9781450395786

DOI:10.1145/3544109

Copyright © 2022 ACM.

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Published: 18 July 2022

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IPEC2022

IPEC2022: 2022 3rd Asia-Pacific Conference on Image Processing, Electronics and Computers

April 14 - 16, 2022

Dalian, China

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Cited By

Fahimur Rahman Shuvo MKabir K(2024)Investigating the impact of environmental feedback on the optional prisoner’s dilemma for insights into cyclic dominance and evolution of cooperationRoyal Society Open Science10.1098/rsos.24071711:10Online publication date: 23-Oct-2024
https://doi.org/10.1098/rsos.240717

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