Judgment on the evolution state of asymmetric games-Reference-Cited by-同舟云学术

Judgment on the evolution state of asymmetric games

Published:2022-11 Issue:2267 Volume:478 Page:
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Song Sha¹,Pan Qiuhui¹²^ORCID,He Mingfeng¹²

Affiliation:

1. School of Mathematical Science, Dalian University of Technology, Dalian 116024, People’s Republic of China

2. School of Innovation and Entrepreneurship, Dalian University of Technology, Dalian 116024, People’s Republic of China

Abstract

In this article, we probe into two-role two-player two-strategy asymmetric evolutionary games by utilizing replicator dynamic equations and present all equilibrium points and their stability conditions. Further, the resulting evolution state of the system can be depicted directly according to the specific payoff matrix and initial values. This study facilitates and perfects the research of asymmetric evolutionary games.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2022.0372

Reference43 articles.

1. Book Review: Theory of games and economic behavior

2. Non-Cooperative Games

3. Two-Person Cooperative Games

4. Evolutionary stable strategies and game dynamics

5. The Logic of Animal Conflict

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