Epstein Secrets

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t much larger than the degree, as well as the phenotype space. 2.5.1 The well-mixed population As first example we consider the frequency dependent Moran process in a well mixed population of size N (Nowak et al 2004, Taylor et al 2004, Nowak 2006a) (Fig.la). In the language of evolutionary graph the

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

weak selection (as opposed to 6 cc 1) shall become clear at the end of this section. The dynamics of the system is given by the frequency dependent Moran process. In each time step a randomly chosen individual is replaced by a copy of an individual chosen with probability proportional to its payoff.

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