Speaker
Arne Traulsen
(MPI for Evolutionary Biology)
Description
Ecological vs. game theoretical models for interaction Both ecologists and evolutionary game theorists study the dynamics in populations of interacting types. Ecologists prefer to use the Lotka-Volterra equations (and non linear generalizations of it), while evolutionary game theorists use the replicator dynamics instead. In their book, Josef Hofbauer and Karl Sigmund have shown that these two approaches are mathematically closely related and lead to the same orbits. Unfortunately, this relation between the two approaches seems less appreciated by experimentalists. On the other hand, a deeper understanding of interactions may emerge from a better understanding of the relationship between the two approaches.
