Some Equations and Games in Evolutionary Biology

MEMBERS SEMINAR
Topic:Some Equations and Games in Evolutionary Biology
Speaker:Christine Taylor
Affiliation:Harvard University; Member, School of Mathematics
Date:Monday, February 14
Time/Room:2:00pm - 3:00pm/S-101
Video Link:https://video.ias.edu/members/ctaylor

The basic ingredients of Darwinian evolution, selection and mutation, are very well described by simple mathematical models. In 1973, John Maynard Smith linked game theory with evolutionary processes through the concept of evolutionarily stable strategy. Since then, cooperation has become the third fundamental pillar of evolution. I will discuss, with examples from evolutionary biology and ecology, the roles played by replicator equations (deterministic and stochastic) and cooperative dilemma games in our understanding of evolution.