Eco-Evolutionary Dynamics of Bimatrix Games
Longmei Shu, Feng Fu

TL;DR
This paper explores how feedback mechanisms in eco-evolutionary games can lead to persistent oscillations in strategies, offering insights into controlling population states in social and biological systems.
Contribution
It introduces a novel framework of replicator dynamics with switching payoff matrices, demonstrating the possibility of sustained strategy oscillations through control laws.
Findings
Switching payoff matrices can induce stable strategy oscillations.
Designing control laws enables persistent eco-evolutionary dynamics.
Applicable to microbial experiments and social-ecological systems.
Abstract
Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the commons. Here we consider replicator dynamics with feedback-evolving games, where the payoffs switch between two different matrices. Although each payoff matrix on its own represents an environment where cooperators and defectors can't coexist stably, we show that it's possible to design appropriate switching control laws and achieve persistent oscillations of strategy abundance. This result should help guide the widespread problem of population state control in microbial experiments and other social problems with eco-evolutionary feedback loops.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsEvolutionary Game Theory and Cooperation · Evolution and Genetic Dynamics · Game Theory and Applications
