Epstein Secrets

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

ho-interacts-with-whom changes during the evolutionary process (Fig 2.2). For mathematical convenience we con- sider evolutionary game dynamics in a Wright-Fisher process with constant population size [63]. A frequency dependent Moran process [110] or a pairwise comparison process [156], which is more realist

t in common, they interact several times. An interaction is given by the usual payoff matrix. The system evolves according to synchronous updating (Wright-Fisher process). There are discrete, non-overlapping generations. All individuals update at the same time. The population size is constant. Individuals re

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

Evolutionary updating occurs according to the frequency dependent Moran process (Nowak et al, 2004; Taylor et al, 2004) or the frequency dependent Wright-Fisher process (Imhof & Nowak, 2006). Reproduction is proportional to fitness and subject to a mutation rate u. With probability 1 — u the offspring inheri

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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

nergy and discounting of cooperation in social dilemmas. I theor Biol 239: 195-202. 125. Imhof LA, MA Nowak (2006). Evolutionary game dynamics in a Wright-Fisher process. Math Biol 52: 667-681. 126. Iwasa Y, MA Nowak, F Michor (2006). Evolution of resistance during clonal expansion. Genetics 172: 2557-2566.