SKM 2023 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 50: Evolutionary Game Theory (joint session SOE/DY)

DY 50.2: Vortrag

Donnerstag, 30. März 2023, 15:15–15:30, ZEU 260

Hawk Dove Game on Networks with Continuous Populations — •Lennart Gevers1,2, Tobias Wand1,2, and Svetlana V. Gurevich1,21Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Straße 9, D-48149 Münster, Germany — 2Center for Nonlinear Science (CeNoS), University of Münster, Corrensstrasse 2, D-48149 Münster, Germany

Evolutionary game theory is a population-based approach to game theoretical scenarios by analyzing the evolution of populations resembling competing strategies.
We expand the classical model analysed by (1), which assumes that no spatial or social segregation of populations occurs, with a network-based approach to the hawk-dove game which models the ability of contestants to migrate between neighboring realizations of the game by adapting different migratory behaviors.
Our model reveals that competitive and cooperative populations can show preferred strategies on how to spatially organize on such territories.
Furthermore, we find that the resulting outcomes of the participating species diverge from the original model with increasing mobility of species.
(1) F. Stollmeier and J. Nagler, Phys. Rev. Lett. 120, 058101, 2018.

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