Epstein Secrets

27. Adlam. B., Chatterjee. K. & Nowak. M. Amplifiers of selection. Proc. R. Sec. A Math. Phys. Eng. Sea. 471. 20150114 (2015). 28. Maruyama. T. A Markov process of gene frequency change in a geographically structured population. Genetics 76. 367-377 (1974). 29. Kaveh. IC. Komareva, N. L & ICohandel,

viruses. They could also occur in natural population structures. 1IST Austria, A-3400 Klosterneuburg. Austria. 2 Program for Evolutionary Dynamics. Department of Organismic and Evolutionary Biology, Department of Mathematics, Harvard University, Cambridge, MA 02138, USA. These authors contributed equally: Andreas Pavlogiannis, Josef Tkadlec. Co

haviors or strategies. When both players are present. each step is a symmetric two-player game. The overall survival of the two individuals forms a Markov chain. As the number of iterations tends to infinity, all probabilities of survival decrease to Zero. We obtain general, analytical results for n-st

ical 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 University. Cambridge. MA 02138. USA ' Department of Ma

ase the problem can be reduced to computing absorption probabilities in Marken, chains, where each state represent the number of mutants. Hence the Markov chain Ls linear in the number of vertices of the graphs, and since absorption probabilities in Markov chains can be computed in polynomial time (by

s Ibsen-Jensen Krishnendu Chatterjee ' , and Martin A. Nowak' 'IST Austria. Klosteineuburg. A 3400. Austria. and 'Program for Evolutionary Dynamics. Department of Organismic and Evolutionary Biology. Department of Mathematics. Harvard University. Cambridge. MA 02138. USA Submitted to Proceedings of the National Academy of Sciences of the United