MMEE2024

Mathematical Models in Ecology and Evolution

July 15-18, 2024
Vienna, AUSTRIA

"Developing more realistic finite population evolutionary models"

Broom, Mark

The modelling of populations using evolutionary game theory has proved to be a valuable source of insight into animal and human behaviour, such as ritualistic contests, and the evolution of remarkable traits, such as peacock’s tails. The original models were elegant but idealised and simple and in recent years there has been significant effort to build more realistic features into evolutionary models, for example in terms of population structure, multi-player interactions and temporal factors. In this minisymposium we consider game theoretical models of the evolution of finite populations where additional features add depth to existing models. In our first presentation by Hana Krakovska we consider a multi-player ultimatum game, with multiple proposers and responders and investigate stable strategies as these numbers vary. The second presentation by Diogo Pires also centres on multiplayers games, but here considering the evolution of cooperation in network structured communities following finite population evolutionary dynamics. In our third talk by Hasan Haq the same basic framework as in the previous talk is considered, but here the inherent movement which leads to the multiplayer interactions is not independent, instead following a correlation structure. Our final talk by Javad Mohamadichamgavi also considers a population under a discrete evolutionary dynamics, but here returning to classical well-mixed populations with pairwise games and introducing a time delay in how fitnesses affect evolution. This minisymposium contains distinct but linked modelling approaches showing the effect of the addition of realistic modelling features to dynamic evolutionary finite population models. The four speakers are all young researchers in the third year of their PhD studies, and their presentations each relate to a key aspect of their research work. Krakovska, Mohamadichamgavi and Pires are early career researchers on the EvoGamesPlus (Evolutionary Game Theory and Population Dynamics: From Theory to Applications) Innovative Training Network funded by the EU which focuses on the development of realistic evolutionary game theoretic models of real-world populations, and Haq is a PhD student within Mark Broom’s research group at City, University of London (as is Pires).

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