Epstein Secrets

Indirect reciprocity with private, noisy, and incomplete information Christian Hilbe11, Laura Schmid', Josef Tkadleca, Krishnendu Chatterjeee, and Martin A. Nowak" 'Institute of Science and Technology Austria, 3400 Klostemeuburg, Austria; °Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 0

013) Evolutionary stability and resistance to cheating in an indirect reciprocity model based on reputation. Phys Rev E 87: 052810. 39. Traulsen A Nowak MA Pacheco 1M (2006) Stochastic dynamics of invasion and fixation. Phys Rev E 74.011909. 40. Stewart Al. Plotkin 18 (2013) From extortion t0 genero

(2009) Indirect reciprocity and strategic reputation building in an experimental helping game. Games (con &hate 67:399-407. 5. Mcquet ), Revert C, Traulsen A, Milins1/41 M (2011) Shame and honour drive cooper- ation. Biel Lett 7:899-901. Hilbe et el. 9NAS Latest Articles I 5 of 6 EFTA00803982 6. Oht

idge, UK). 47. Szolnoki A. Szabo G (2004) Phase transitions for rock-scissorypaper game on different networks. Mys Rev E 70037102 48. Claussen 1C, Traulsen A (2008) Cyclic dominance and biodiversity it well-mixed populations, Phys ROV Lett 100:058104. 09. Szolnoki A, et al. (2014) Cyclic dominance in e

s: Cooperation and bifurcation. Theor Popul Biol 73: 257-263. 208. Jones S, W Chen, G Parmigiani, F Diehl, N Beerenwinkel, T Antal, A Traulsen, MA Nowak, C Siegel, VE Velculescu, KW Kinzler, B Vogelstein, J Willis, SD Markowitz (2008). Comparative lesion sequencing provides insights into tumor evolut

K Grochow, A Jacobson, CK Liu, Z Popovik, R Travers (2005). Dance reveals symmetry especially in young men. Nature 438: T148-T150. 64. Claussen J, Traulsen A (2005). Nongaussian fluctuations arising from finite populations: Exact results for the evolutionary Moran process. Phys Rev E 71: 025101. 65. Do

ki H, MA Nowak (2006). The replicator equation on graphs. J thcor Biol 243: 86-97. Page 6 of 16 EFTA_R1_01519430 EFTA02443864 139. Pacheco 3M, A Traulsen, MA Nowak (2006). Active linking in evolutionary games. J theor Biol 243: 437-443. 140. Pacheco JM, A Traulsen, MA Nowak (2006). Coevolution of str

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

ary dynamics (Antal et al.. 2009; Allen and Nowak. 2014; Fu et al.. 2014; Haven and Doebelt, 2004; Szabo and Kith. 2007; Antal and Scheming. 2006; Traulsen et al., 2008; van Veelen et al.. 2014; Simon ct al.. 2013) demonstrate that inclusive fitness is not needed for understanding any phenomenon in evo

rsity Cambridge, Massachusetts June 2009 EFTA00748858 @2009 - Corina Elena Tarnita All rights reserved. EFTA00748859 Thesis advisor Author Martin A. Nowak Corina Elena Tarnita Evolutionary Dynamics in Structured Populations Abstract Life is that which evolves. Evolutionary dynamics shape the living

apter 5 is published as: "Mutation-selection equilibrium in games with multiple strategies", T. Antal, A. Traulsen, H. Ohtsuki, C.E. Tarnita, M.A., Nowak. J. Theor. Biol., doi:10.1016/j.jtbi.2009.02.010, 2009. Chapter 6 is submitted as: "Mutation-selection equilibrium in games with mixed strategies"

ly 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 condition no longer implies evolutionary s

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

s of finite size (Schaffer 1988, Kandori et al 1993, Kandori & Rob 1995, Schreiber 2001, Nowak et al 2004, Taylor et al 2004, Wild and Taylor 2004, Traulsen et al 2005, Antal & Scheuring 2006, Imhof & Nowak 2006, Lessard & Ladret 2007). Evolutionary updating occurs according to the frequency dependent M