PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Becky Halpenny.

Title:"Spatial Pattern Dynamics in Evolutionary Games: the Fitness Gradient Flux"
Seminar:Ph.D. Oral Comprehensive Examination
Speaker:Russell deForest, Adviser: Andrew Belmonte, Penn State
Abstract:
We introduce a non-diffusive spatial coupling into the replicator equation of evolutionary game theory and study the development of patterns for several classes of 2-strategy games in 1D and the rock-paper-scissors game in 2D. Our proposed flux term is based on motion due to local gradients in the relative fitness of each strategy and provides an alternative to diffusive coupling for competitive systems in which the flux depends directly on the game dynamics. We observe asymptotically attracting and wave-generating states in 1D and spiral formation and breakup in 2D. A change of variables is shown to correctly capture the asymptotic behavior of these spatiotemporal systems via a nonlinear diffusion equation.

Room Reservation Information

Room Number:MB106
Date:05 / 08 / 2012
Time:01:00pm - 03:00pm