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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 6: Poster

SOE 6.7: Poster

Montag, 20. März 2017, 17:00–20:00, P2-OG4

Multiple games in the multiverse — •Vandana Revathi Venkateswaran and Chaitanya S. Gokhale — Research Group for Theoretical Models in Eco-Evolutionary dynamics, Department of Evolutionary Theory, Max Planck Institute for Evolutionary Biology, Plön

Evolutionary game theory has proved useful in analyzing interactions between agents in an evolutionary context. For a particular application, usually a single game is analyzed, which can have n strategies. A combination of two, two player two strategy (2x2) games was intensively studied to introduce the idea of Multi Game Dynamics (MGD) and later we studied various combinations of single multi-strategy games.

The results show that it is not always possible to decompose MGD into its constituent games if any constituent game has n>2 and thus impossible to always predict dynamics of a combination of games even if the underlying games are well understood. Even if a game has a fixed-point as an ESS, when it is combined with other games, the combined MGD need not converge to that ESS.

Different initial conditions can lead to different dynamical outcomes. We provide a quantitative extension by analyzing the proportion of initial states deviating from the expected solution. Furthermore the idea of a combination of multiplayer evolutionary games is proposed where the conditions of n>2 is no longer necessary.