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elfish herd. J.Theoret. Biol. 31.295-311. Harms. W.. 2001. Cooperative boundary populations: the evol

30 40 60 60 70 80 Number of Iterations, n Fag. 0. Values °IG(n) — c(n) and b(n) — d(n) over n = 1...80 iterations for two games which begin as Prisoner's Dilemmas at n = I. In both cases, the loner survival probabilities are ck, = 4 = 0.9. PanelA: a = 0.97.6 = 0.94. c = 0.99,d = 0.95; these are the

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n. Sometimes it's tough to pay attention when your eyes are barely open, and your stomach is growling but that was NOT the case when I pushed in Prisoner and hit play. From start to fin- ish, it's simply a great flick. This is the kind of movie, (and I don't remember EVER saying this before), that if

w). Thus, hi above are all rational functions of W. Therefore, from (4.89) we conclude that vn must

asier it is for cooperators to outcompete defectors. We give a simple relationship between a and the critical benefit-to-cost ratio in a simplified Prisoner's Dilemma game. (War +1 a — (NW —1. This shows that for the purpose of establishing strategy dominance, in the limit of weak selection, it suffice

eton Univ. Press. [82] May RM, 2006. Network structure and the biology of populations. Trends. Ecol. Evol., 21, 394-399. [83] May, R.M., Leonard, W., 1975. Nonlinear aspects of competition between three species. SIAM J. Appl. Math. 29, 243-252. [84] May, R. M. and Nowak, M. A., 1995. Coinfection

rs on Cooperators and Defectors. Then in 5.3.2 we show how mutation alone can make a strategy more abundant. Finally in 5.3.3 we study the repeated Prisoner's Dilemma game. 5.3.1 Cooperators, Defectors, Loners To see the difference between our weak selection and a traditional game-theoretic approach, l