Pure and Mixed Strategies in Cyclic Competition: Extinction, Coexistence, and Patterns Ben Frederick Martir Intoy Dissertation submitted to the Faculty of the Virginia Polytechnic Institute and State University in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Physics Michel J. F. Pleimling, Chair Giti A. Khodaparast Leo E. Piilonen Uwe C. Täuber March 25, 2015 Blacksburg, Virginia Keywords: Evolutionary Game Theory, Population Dynamics, Non-Equilibrium Statistical Physics, Pattern Formation Copyright 2015, Ben Frederick M. Intoy From: Subject: Date: To: Permissions permissions@iop.org Re: IOP Publishing ? Permissions request form: Response Received February 23, 2015 at 4:37 AM intoybf@vt.edu Dear Ben Frederick M Intoy, Thank you for your email and for taking the time to seek this permission. 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