Universality of weak selection

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 82, Issue 4, 2010, Pages

  Wu, Bin ^a,b   Altrock, Philipp M ^a   Wang, Long ^b   Traulsen, Arne ^a  

^a MAX PLANCK INSTITUTE FOR EVOLUTIONARY BIOLOGY   (Germany)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL CALCULATION; EVOLUTIONARY BIOLOGY; EVOLUTIONARY GAME THEORY; EVOLUTIONARY GAMES; EVOLUTIONARY MODELS; EVOLUTIONARY PROCESS; FINITE POPULATION; HIGHER ORDER; HIGHER ORDER EXPANSIONS; LARGE POPULATION; LIMITING CASE; RESCALING; SELECTION INTENSITY; STOCHASTIC DYNAMICS; STRUCTURED POPULATION;

BIOLOGY;

GAME THEORY;

EID: 78651277890     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.82.046106     Document Type: Article

References (56)

1. J. Maynard Smith and G. R. Price, Nature (London) 246, 15 (1973). 10.1038/246015a0
2. P. D. Taylor and L. Jonker, Math. Biosci. 40, 145 (1978). 10.1016/0025-5564(78)90077-9
3. J. Hofbauer, P. Schuster, and K. Sigmund, J. Theor. Biol. 81, 609 (1979). 10.1016/0022-5193(79)90058-4
4. E. C. Zeeman, Lect. Notes Math. 819, 471 (1980). 10.1007/BFb0087009
5. J. Hofbauer and K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge University Press, Cambridge, 1998).
6. G. Fogel, P. Andrews, and D. Fogel, Ecol. Modell. 109, 283 (1998). 10.1016/S0304-3800(98)00068-4
7. S. Ficici and J. Pollack, in Effects of Finite Populations on Evolutionary Stable Strategies, Proceedings GECCO, edited by, D. Whitley, (Morgan-Kaufmann, San Francisco, 2000) pp. 927-934.
8. S. Schreiber, SIAM J. Appl. Math. 61, 2148 (2001). 10.1137/ S0036139999352857
9. M. A. Nowak, A. Sasaki, C. Taylor, and D. Fudenberg, Nature (London) 428, 646 (2004). 10.1038/nature02414
10. A. Traulsen and M. A. Nowak, Proc. Natl. Acad. Sci. U.S.A. 103, 10952 (2006). 10.1073/pnas.0602530103
11. H. Ohtsuki, C. Hauert, E. Lieberman, and M. A. Nowak, Nature (London) 441, 502 (2006). 10.1038/nature04605
12. H. Ohtsuki, M. A. Nowak, and J. M. Pacheco, Phys. Rev. Lett. 98, 108106 (2007). 10.1103/PhysRevLett.98.108106
13. P. M. Altrock and A. Traulsen, New J. Phys. 11, 013012 (2009). 10.1088/1367-2630/11/1/013012
14. S. Kurokawa and Y. Ihara, Proc. R. Soc. London, Ser. B 276, 1379 (2009). 10.1098/rspb.2008.1546
15. C. S. Gokhale and A. Traulsen, Proc. Natl. Acad. Sci. U.S.A. 107, 5500 (2010). 10.1073/pnas.0912214107
16. H. Ohtsuki, J. Theor. Biol. 264, 136 (2010). 10.1016/j.jtbi.2010.01.016
17. M. Kimura, Nature (London) 217, 624 (1968). 10.1038/217624a0
18. T. Ohta, Proc. Natl. Acad. Sci. U.S.A. 99, 16134 (2002). 10.1073/pnas.252626899
19. H. Akashi, Genetics 139, 1067 (1995).
20. J. Charlesworth and A. Eyre-Walker, Proc. Natl. Acad. Sci. U.S.A. 104, 16992 (2007). 10.1073/pnas.0705456104
21. A. Traulsen, D. Semmann, R. D. Sommerfeld, H.-J. Krambeck, and M. Milinski, Proc. Natl. Acad. Sci. U.S.A. 107, 2962 (2010). 10.1073/pnas. 0912515107
22. A. Traulsen, Evolution (Lawrence, Kans.) 64, 316 (2010). 10.1111/j.1558-5646.2009.00899.x
23. A. Traulsen, J. C. Claussen, and C. Hauert, Phys. Rev. Lett. 95, 238701 (2005). 10.1103/PhysRevLett.95.238701
24. A. Traulsen, M. A. Nowak, and J. M. Pacheco, Phys. Rev. E 74, 011909 (2006). 10.1103/PhysRevE.74.011909
25. H. Ohtsuki, P. Bordalo, and M. A. Nowak, J. Theor. Biol. 249, 289 (2007). 10.1016/j.jtbi.2007.07.005
26. L. A. Imhof and M. A. Nowak, J. Math. Biol. 52, 667 (2006). 10.1007/s00285-005-0369-8
27. A. Traulsen, J. M. Pacheco, and L. A. Imhof, Phys. Rev. E 74, 021905 (2006). 10.1103/PhysRevE.74.021905
28. S. Lessard and V. Ladret, J. Math. Biol. 54, 721 (2007). 10.1007/s00285-007-0069-7
29. A. Ross-Gillespie, A. Gardner, S. A. West, and A. S. Griffin, Am. Nat. 170, 331 (2007). 10.1086/519860
30. I. Bomze and C. Pawlowitsch, J. Theor. Biol. 254, 616 (2008). 10.1016/j.jtbi.2008.06.009
31. W. Huang and A. Traulsen, J. Theor. Biol. 263, 262 (2010). 10.1016/j.jtbi.2009.11.025
32. N. Goel and N. Richter-Dyn, Stochastic Models in Biology (Academic Press, New York, 1974).
33. W. J. Ewens, Mathematical Population Genetics (Springer, New York, 2004).
34. M. A. Nowak, Evolutionary Dynamics (Harvard University Press, Cambridge, MA, 2006).
35. L. E. Blume, Games Econ. Behav. 5, 387 (1993). 10.1006/game.1993.1023
36. G. Szabó and C. Toke, Phys. Rev. E 58, 69 (1998). 10.1103/PhysRevE.58.69
37. R. J. Glauber, J. Math. Phys. 4, 294 (1963). 10.1063/1.1703954
38. G. Szabó and C. Hauert, Phys. Rev. Lett. 89, 118101 (2002). 10.1103/PhysRevLett.89.118101
39. A. Traulsen, N. Shoresh, and M. A. Nowak, Bull. Math. Biol. 70, 1410 (2008). 10.1007/s11538-008-9305-6
40. S. Karlin and H. M. A. Taylor, A First Course in Stochastic Processes, 2nd ed. (Academic, London, 1975).
41. T. Antal and I. Scheuring, Bull. Math. Biol. 68, 1923 (2006). 10.1007/s11538-006-9061-4
42. T. Maruyama and M. Kimura, Evolution (Lawrence, Kans.) 28, 161 (1974). 10.2307/2407248
43. C. Taylor, Y. Iwasa, and M. A. Nowak, J. Theor. Biol. 243, 245 (2006). 10.1016/j.jtbi.2006.06.016
44. B. Skyrms, The Stag-Hunt Game and the Evolution of Social Structure (Cambridge University Press, Cambridge, 2003).
45. P. M. Altrock, C. S. Gokhale, and A. Traulsen, Phys. Rev. E 82, 011925 (2010). 10.1103/PhysRevE.82.011925
46. M. A. Nowak, Science 314, 1560 (2006). 10.1126/science.1133755
47. C. E. Tarnita, T. Antal, H. Ohtsuki, and M. A. Nowak, Proc. Natl. Acad. Sci. U.S.A. 106, 8601 (2009). 10.1073/pnas.0903019106
48. T. Antal, H. Ohtsuki, J. Wakeley, P. D. Taylor, and M. A. Nowak, Proc. Natl. Acad. Sci. U.S.A. 106, 8597 (2009). 10.1073/pnas.0902528106
49. T. Antal, A. Traulsen, H. Ohtsuki, C. E. Tarnita, and M. A. Nowak, J. Theor. Biol. 258, 614 (2009). 10.1016/j.jtbi.2009.02.010
50. H. Ohtsuki and M. A. Nowak, Proc. R. Soc. London, Ser. B 273, 2249 (2006). 10.1098/rspb.2006.3576
51. C. E. Tarnita, H. Ohtsuki, T. Antal, F. Fu, and M. A. Nowak, J. Theor. Biol. 259, 570 (2009). 10.1016/j.jtbi.2009.03.035
52. M. A. Nowak, C. E. Tarnita, and T. Antal, Philos. Trans. R. Soc. London, Ser. B 365, 19 (2010). 10.1098/rstb.2009.0215
53. C. P. Roca, J. A. Cuesta, and A. Sánchez, Phys. Rev. E 80, 046106 (2009). 10.1103/PhysRevE.80.046106
54. C. P. Roca, J. A. Cuesta, and A. Sánchez, Phys. Life. Rev. 6, 208 (2009). 10.1016/j.plrev.2009.08.001
55. A. J. Bladon, T. Galla, and A. J. McKane, Phys. Rev. E 81, 066122 (2010). 10.1103/PhysRevE.81.066122
56. R. L. Graham, D. E. Knuth, and O. Patashnik, Concrete Mathematics, 2nd ed. (Addison-Wesley, Reading, MA, 1994).