Epstein Secrets

ienceDirect Theoretical Population Biology journal home pa go: ..vww.elscvier.comflocateApb A two-player iterated survival game John Wakeley a.*, Martin Nowak a'b'c 'Department of Organismic and Evolutionary Biology. Harvard University. Cambridge. MA, 02138. USA b Program for Evolutionary Dynamics. Harvard

not cooperate. Besides Hawk-Dove, other well-studied games of this type are the game of chicken and the snowdrift game (Doebeli and liauert. 2005: Nowak, 2006a). We introduce a two-player survival game which can fall into any of these four classes. It may also change, for example from a Hawk-Dove g

rous situations in which cooperative or otherwise helping behaviors are detrimental t0 the individual or selectively disad- vantageous (Hofbauer and Sigmund, 1998; Mesterton-Gibbons. 2000; Cressman, 2005; Schecter and Gintis, 2016). It has been shown using a variety of models that such behaviors can be

Biology journal homepage: Conshlark Evolution of worker policing Jason W. Olejarz a, Benjamin Allen l'"', Carl yeller • Raghavendra Gadagkar -1. Martin A. Nowak a•d•g.s Program for twoltalonary Dynamks. Hanard University, Cambridge, MA 02(38. USA °Department of Mathematics. Emmanuel College, Bosron. MA 02115

that affect the intensity of policing, Our paper is based on an analysis of evolutionary dynamics and population genetics of haplodiploid species (Nowak et al., 2010; Olejarz et al., 2015). It does not use inclusive fitness theory. Spe- cifically, we adapt the mathematical approach that was developed

the limit of incremental mutation (small mutational effect size). Our calculations in this section are remi- niscent of adaptive dynamics (Nowak and Sigmund, 1990; Hof- bauer and Sigmund. 1990; 0ieckmann and Law. 1996; Metz et al.. 1996; Geritz et al., 1998). which is usually formulated for asexual and

e, 444(7120), 718-723; Sigmund, K., Hauert, C., & Nowak, M. (2001). Reward and punishment. Proceedings of

362-1367; Rockenbach, B., & Milinski, M. (2006). The efficient interaction of indirect reciprocity and costly punishment. Nature, 444(7120), 718-723; Sigmund, K., Hauert, C., & Nowak, M. (2001). Reward and punishment. Proceedings of the National Academy of Sciences, 989), 10757- 10762; Trivers, R.L. (1971)