Regensburg 2019 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 10: Evolutionary Game Theory (joint SOE/BP/DY) (joint session SOE/BP)

SOE 10.1: Talk

Tuesday, April 2, 2019, 11:30–12:00, H17

Evolutionary dynamics of multiple games — •Vandana Revathi Venkateswaran and Chaitanya S. Gokhale — Department of Evolutionary Theory, Max Planck Institute for Evolutionary Biology, August-Thienemann-Str. 2, 24306 Plön

Phenomena from bacterial population dynamics to evolution of social behaviour are being successfully described using evolutionary game theory. However, it has typically focused on a single game describing the interactions between individuals. Organisms are simultaneously involved in many intraspecies and interspecies interactions. Therefore, one should move from single games to multiple games. However, the interactions in nature involve many players. Shifting from two player games to multiple multiplayer games yield different interesting dynamics and help us get closer to naturalistic settings. A complete picture of multiple game dynamics (MGD), where multiple players are involved, was lacking. We present a complete and general method to study multiple games with many strategies and players, all at once. We provide a concise replicator equation, and analyse its resulting dynamics. We show that if the individual games involved have more than two strategies, then the combined dynamics cannot be understood by looking only at individual games. Moreover, in the case of finite populations, we formulate and calculate a basic and useful stochastic property, fixation probability. Our results reveal that even as interactions become increasingly complex, their properties can be captured by relatively simple concepts of evolutionary game(s) theory.