Stability of Evolutionary Dynamics on Time Scales

19 Oct 2012  ·  Marc Harper, Dashiell E. A. Fryer ·

We combine incentive, adaptive, and time-scale dynamics to study multipopulation dynamics on the simplex equipped with a large class of Riemmanian metrics, simultaneously generalizing and extending many dynamics commonly studied in dynamic game theory and evolutionary dynamics. Each population has its own geometry, method of adaptation (incentive), and time-scale (discrete, continuous, and others). Using an information-theoretic measure of distance we give a widely-applicable Lyapunov result for the dynamic. We include a wealth of examples leading up to and beyond the main results.

PDF Abstract


Dynamical Systems Information Theory Information Theory Populations and Evolution 91A22