Epstein Secrets

f its transitions and the ease with which the survival game may be embedded within it, we base our model on the haploid population-genetic model of Moran (1958).The standard version of the Moran model pairs single births and deaths such that the population size remains constant. In the absence of se

in which having a different behavior than one's partner produces a higher payoff. Doves cooperate by sharing resources but retreat when challenged. Hawks do not cooperate. They are ready to fight to avoid leaving an interaction empty-handed. A Hawk gets the entire resource when facing a Dove but suff

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

14 6.2 Mixed games with 2 strategies 119 6.3 Mixed games with two pure strategies 122 6.3.1 A resealed payoff matrix 125 6.3.2 Example: Hawks and Doves 126 6.4 A mixed 3-game: Cooperators, Defectors, Loners 130 6.5 Mixed games with n pure strategies 135 6.6 Conclusion 136 B

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.

. 0, the mixed phase extends to the quarter-plane a > 0, > 0. For large mutation ratesµ —• co, however, the mixed phase disappears. 6.3.2 Example: Hawks and Doves As an example, we consider the Hawk-Dove game (Maynard-Smith 1982, Houston Mcishunara 1988, Houston Sc McNamara 1991, IvIesterton-Gibbons