Math Bio Seminar: Wes Maciejewski

This will be an introductory talk on two approaches to studying evolutionary games on graphs. The "fixation probability" approach tracks the fate of a single, rare mutant by calculating the probability that the progeny of that mutant go on to take over the population. The "inclusive fitness" approach considers the instantaneous rate of change of the proportion of mutants in a population by evaluating the effect of the mutant behaviour on each member of the population. I will explore when these two approaches yield the same results and discuss when they differ.