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Evolutionary models on graphs and structured populations

Speaker(s)
Mark Broom
Affiliation
Department of Mathematics, City St.George's, University of London
Language of the talk
English
Date
Oct. 15, 2025, 2:15 p.m.
Room
room 5070
Seminar
Seminar of Biomathematics and Game Theory Group

Evolutionary game theory is used to model how interactions between individuals shape the evolution of populations, and the original, classical works considered infinite populations without structure. When a systematic modelling system based upon structured populations, evolutionary graph theory, was introduced 20 years ago, the extent and type of effects that population structure and the nature of the evolutionary dynamics can have was revealed. Following this, more generalised structures extending the conflicts to arbitrary multi-player games have also been considered. In this talk we cover some important results from evolutionary graph theory in the fixed fitness case, as well as for the evolution of cooperation based upon games on graphs. We then look at some recent work on the evolution of cooperation using multi-player games.