For more information about this meeting, contact Becky Halpenny.
| Title: | "Spatial Pattern Dynamics in Evolutionary Games: the Fitness Gradient Flux" |
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| Seminar: | Ph.D. Oral Comprehensive Examination |
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| Speaker: | Russell deForest, Adviser: Andrew Belmonte, Penn State |
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| Abstract: |
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| 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 |
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| Date: | 05 / 08 / 2012 |
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| Time: | 01:00pm - 03:00pm |
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