University of Minnesota
School of Physics & Astronomy

Physics and Astronomy Calendar

Tuesday, February 10th 2015
2:30 pm:
Biophysics Seminar in 210 Physics
Speaker: Ben Intoy Department of Physics, Virginia Tech
Subject: Pure and Mixed Strategies in Cyclic Competition

Physicists have been interested in the cyclic competition of species for quite some time. For the first part of my presentation I broadly introduce population dynamics, game theory, and pattern formation observed in spatial systems. I then present the results for when four species compete on different lattice structures. It is found that the probability distributions of the extinction times are non-trivial and contain more information than mean extinction times which are commonly reported in the literature. These non-trivial features have their origin in domain formation of both individual species and alliances and promote coexistence in the system. In the last part of my talk the agents are allowed to have mixed strategies and choose their strategy out of a distribution. This scheme for choosing strategies is not often seen in biology, however it does have applicabilities to economic systems such as the public goods game. This is simulated on a 1D lattice with three and four strategies and interesting patterns and stability properties are found depending on how discretized the choice of strategy of the agents is.

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