2021/04/20 by Johanna Mayer, Michael Obermueller, Obermueller, Michael +2
Biochemistry, Genetics and Molecular Biology · Environmental Science · Mathematics · Physics and Astronomy · Social Sciences · #Active matter #Biological system #Biology #Computer science #Economics #Ecosystem dynamics and resilience #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Evolutionary game theory #Game theory #Mathematical economics #Mathematics #Mechanism (biology) #Micro and Nano Robotics #Order (exchange) #Pattern formation #Physics #Quantum mechanics #Statistical physics #cond-mat.soft #physics.bio-ph
paper · pdf · doi:10.1103/physreve.104.044408
published in Physical review. E 104(4), 044408 (American Physical Society) · 28 pages, 15 figures
arxiv created 2021/05/04 · openalex publication_date 2021/10/14 · arxiv updated 2021/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Evolutionary games between species are known to lead to intriguing spatiotemporal patterns in systems of diffusing agents. However, the role of interspecies interactions is hardly studied when agents are (self-)propelled, as is the case in many biological systems. Here, we combine aspects from active matter and evolutionary game theory and study a system of two species whose individuals are (self-)propelled and interact through a snowdrift game. We derive hydrodynamic equations for the density and velocity fields of both species from which we identify parameter regimes in which one or both species form macroscopic orientational order as well as regimes of propagating wave patterns. Interestingly, we find simultaneous wave patterns in both species that result from the interplay between alignment and snowdrift interactions-a feedback mechanism that we call game-induced pattern formation. We test these results in agent-based simulations and confirm the different regimes of order and spatiotemporal patterns as well as game-induced pattern formation.