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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
el. F.. Billiard. S.. 2000. A theoretical basis for measures of kin selection in subdivided populations: finite populations and localized dispersal. J. Evol. Biol. 13.814-825. Sandholm. W.H.. 2010. Population Games and Evolutionary Dynamics. MIT Press. Cambridge. Massachusetts. Sandler. L. Hiraizumi.
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
honey bee workers destroy each other's eggs? J. Mout 29(3). 213-217. Cardneu. A.. West, SA. Wild. G.. 2011. The generical theory of kin selection. J. Evol. Riot 24. 1020-1043. C,eritz. SAIL. Kisdi. E., Meszena. G.. Metz. JAL 1998. Evolutionarily singular stra- tegies and the adaptive growth and branch
eractions (Anderson & May 1991, Nowak & May 1994), the evolution of metabolic pathways (Pfeiffer et al 2001), theoretical approaches to immunology (Nowak et al 1991, 1995), and the study of animal and human behavior (Parker 1974, Enquist & Leimar 1983, McNamara & Houston 1986, Milinski 1987, Fudenber
63. [74] Lehmann, L., Keller. L., Sumpter, D. J. T., 2007. The evolution of helping and harm- ing on graphs: the return of inclusive fitness effect. J. Evol. Biol. 20, 2284-2295. [75] Lessard, S., Ladret, V., 2007. The probability of a single mutant in an exchangeable selection model. J. Math. Biol. 54,
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