Epstein Secrets

rsity Cambridge, Massachusetts June 2009 EFTA00748858 @2009 - Corina Elena Tarnita All rights reserved. EFTA00748859 Thesis advisor Author Martin A. Nowak Corina Elena Tarnita Evolutionary Dynamics in Structured Populations Abstract Life is that which evolves. Evolutionary dynamics shape the living

apter 5 is published as: "Mutation-selection equilibrium in games with multiple strategies", T. Antal, A. Traulsen, H. Ohtsuki, C.E. Tarnita, M.A., Nowak. J. Theor. Biol., doi:10.1016/j.jtbi.2009.02.010, 2009. Chapter 6 is submitted as: "Mutation-selection equilibrium in games with mixed strategies"

this is the probability that a newly introduced mutant, using a different strategy, takes over the population (Nowak et al 2004, Taylor et al 2004, Imhof Sc Nowak 2006, Nowak 2006a, Traulsen et al 2006, Lessard Sc Ladret 2007, Bomze & Pawlowitsch 2008). In this new approach, the Nash equilibrium cond

s: Cooperation and bifurcation. Theor Popul Biol 73: 257-263. 208. Jones S, W Chen, G Parmigiani, F Diehl, N Beerenwinkel, T Antal, A Traulsen, MA Nowak, C Siegel, VE Velculescu, KW Kinzler, B Vogelstein, J Willis, SD Markowitz (2008). Comparative lesion sequencing provides insights into tumor evolut

for Archaeological Research/University of Cambridge, 119-129. 116. Foster KR (2006). The Phoenix effect. Nature 441: 291-292. 117. Fudenberg D, LA Imhof (2006). Imitation processes with small mutations. J Econ Theory 131: 251-262. 118. Fudenberg D, MA Nowak, C Taylor, LA Imhof (2006). Evolutionary g

eractions (Anderson & May 1991, Nowak & May 1994), the evolution of metabolic pathways (Pfeiffer et al 2001), theoretical approaches to immunology (Nowak et al 1991, 1995), and the study of animal and human behavior (Parker 1974, Enquist & Leimar 1983, McNamara & Houston 1986, Milinski 1987, Fudenber

equivalent to PA C 1/N, where PA is the fixation probability of an A mutant in a population of B individuals (Nowak et al 2004a, Ohtsuki et al 2007, Imhof et al 2006, Lessard and Ladret 2007). The above condition can thus be interpreted as follows: in a 2 x 2 game with mixed strategies, pure strategy