Leírás
Előadó: Lippner Gábor
Cím: Evolution of cooperation in structured populations
Absztrakt: Understanding how the underlying structure affects the evolution of a population is a basic, but difficult, problem in evolutionary dynamics. Evolutionary game theory, in particular, models the interactions between individuals as games, where different traits correspond to different strategies. It is one of the basic approaches to explain the emergence of cooperative behavior in Darwinian evolution.
In this talk I will present new results about the model where the population is represented by an interaction network. We study the likelihood of a random mutation spreading through the entire population. The main question is to understand how the network influences this likelihood. After introducing the model, I will explain how the problem is connected to the study of meeting times of random walks on graphs, and, based on this connection, outline a general method to analyze the model on general networks.