Evolutionary dynamics with random payoff matrices

2024/10/29 by Manh Hong Duong, The Anh Han, Duong, Manh Hong +1 · 1 citation
Social Sciences · #Dynamical Systems (math.DS) #Evolutionary Game Theory and Cooperation #FOS: Biological sciences #FOS: Mathematics #Populations and Evolution (q-bio.PE) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2410.22010

openalex publication_date 2024/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Uncertainty, characterised by randomness and stochasticity, is ubiquitous in applications of evolutionary game theory across various fields, including biology, economics and social sciences. The uncertainty may arise from various sources such as fluctuating environments, behavioural errors or incomplete information. Incorporating uncertainty into evolutionary models is essential for enhancing their relevance to real-world problems. In this perspective article, we survey the relevant literature on evolutionary dynamics with random payoff matrices, with an emphasis on continuous models. We also pose challenging open problems for future research in this important area.

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