Evolutionary Dynamics of Biological Games

Science

Volumn 303, Issue 5659, 2004, Pages 793-799

  Nowak, Martin A ^a   Sigmund, Karl ^b,c  

^a HARVARD UNIVERSITY   (United States)

^b UNIVERSITY OF VIENNA   (Austria)

^c INTERNATIONAL INSTITUTE FOR APPLIED SYSTEMS ANALYSIS   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; CHAOS THEORY; ECOLOGY; GAME THEORY; MUTAGENESIS; OSCILLATIONS; POPULATION STATISTICS;

COEVOLUTION; DARWINIAN DYNAMICS;

BIOLOGY;

BIOLOGY; EVOLUTIONARY THEORY; GAME THEORY;

ANIMAL BEHAVIOR; COEVOLUTION; HUMAN; MATHEMATICAL MODEL; NATURAL SELECTION; NONHUMAN; POPULATION GENETICS; PRIORITY JOURNAL; REVIEW; SPECIES DIFFERENTIATION;

ADAPTATION, BIOLOGICAL; ALGORITHMS; ANIMALS; ECOSYSTEM; EVOLUTION; EVOLUTION, MOLECULAR; FEMALE; GAME THEORY; GENETICS, POPULATION; HUMANS; MALE; MATHEMATICS; SELECTION (GENETICS);

ANIMALIA; DARWINIA;

EID: 0842288340     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.1093411     Document Type: Review

References (84)

1. S. Wright, Evolution and the Genetics of Populations II (Chicago Univ. Press, Chicago, IL, 1969).
2. H. Frauenfelder, A. R. Bishop, A. Garcia, A. Perelson, Eds. Physica D 107 (1997).
3. M. A. Nowak, R. M. May, Virus Dynamics (Oxford Univ. Press, Oxford, 2000).
4. B. R. Levin, M. Lipsitch, S. Bonhoeffer, Science 283, 806 (1999).
5. S. A. Levin, B. Grenfell, A. Hastings, A. S. Perelson, Science 275, 334 (1997).
6. W. D. Hamilton, Science 156, 477 (1967).
7. J. Maynard Smith, Evolution and the Theory of Games (Cambridge Univ. Press, Cambridge, 1982)
8. J. Maynard Smith, G. R. Price, Nature 246, 15 (1973).
9. K. Binmore, Game Theory and the Social Contract (MIT Press, Cambridge, MA, 1994).
10. D. Fudenberg, J. Tirole, Game Theory, (MIT Press, Cambridge, MA, 1991).
11. L. A. Dugatkin, H. K. Reeve, Eds. Game Theory and Animal Behaviour (Oxford Univ. Press, Oxford, 1998).
12. I. C. W. Hardy, Ed., Mother Knows Best: Sons or Daughters? A Review of Sex Ratios. Concepts and Methods (Cambridge Univ. Press, Cambridge, 2002).
13. R. L. Trivers, Q. Rev. Biol. 58, 62 (1983).
14. A. I. Houston, J. M. McNamara, Models of Adaptive Behaviour: An Approach Based on State (Cambridge Univ. Press, Cambridge, 1999).
15. D. S. Falster, M. Westoby, Trends Ecol. Evol. 18, 337 (2003).
16. Y. Iwasa, A. Pomiankowski, Nature 377, 420 (1995).
17. D. W. Mock, G. A. Parker, The Evolution of Sibling Rivalry (Oxford Univ. Press, Oxford, 1997).
18. H. C. J. Godfray, Nature 376, 133 (1995).
19. M. Doebeli, G. D. Ruxton, Evolution 51, 1730 (1997).
20. P. A. Abrams, H. Matsuda, Evol. Ecol. 11, 1 (1997).
21. R. A. Johnstone, in Encyclopedia of Evolution, M. Pagel, Ed. (Oxford Univ. Press, Oxford, 2002), pp. 1059-1062.
22. M. A. Nowak, N. L. Komarova, P. Niyogi, Nature 417, 611 (2002).
23. M. A. Nowak, K. Page, K. Sigmund, Science 289, 1773 (2000).
24. C. Wedekind, M. Milinski, Science 288, 850 (2000).
25. H. Gintis, in Game Theory Evolving (Princeton Univ. Press, Princeton, NJ, 2000).
26. J. Henrich, R. Boyd, S. Bowles, C. Camerer E. Fehr, H. Gintis, R. McElreath, Am. Econ. Rev. 91, 7378 (2001).
27. E. Fehr, U. Fischbacher, Nature 425, 75 (2003).
28. G. Velicer, Y. Yu, Nature 425, 75 (2003).
29. T. Pfeiffer, S. Schuster, S. Bonhoeffer, Science 292, 504 (2001).
30. D. Haig, Genomic Imprinting and Kinship (Rutgers Univ. Press, Piscataway, NJ, 2002).
31. D. C. Krakauer, A. Mira, Nature 403, 501 (2000).
32. R. M. Anderson, R. M. May, Infectious Diseases of Humans (Oxford Univ. Press, Oxford, 1991).
33. M. A. Nowak, R. M. May, Proc. R. Soc. Lond. B. Biol. Sci. 255, 81 (1994).
34. J. Hofbauer, K. Sigmund, Bull. Am. Math. Soc. 40, 479 (2003).
35. In Alice's Wonderland, the Red Queen has to run to remain on the same spot. For example, hosts have to evolve continuously to maintain the status quo with parasites (81).
36. M. A. Nowak, K. Sigmund, J. Theor. Biol. 137, 21 (1989).
37. R. Axelrod, W. D. Hamilton, Science 211, 1390 (1981).
38. R. Sugden, The Economics of Rights, Co-operation and Welfare (Blackwell, Oxford, 1986).
39. R. Heinsohn, C. Packer, Science 269, 1260 (1995).
40. P. E. Turner, L. Chao, Nature 398, 441 (1999).
41. S. Nee, Philos. Trans. R. Soc. Lond. B Biol. Sci. 355, 1607 (2000).
42. R. M. May, Stability and Complexity in Model Ecosystems (Princeton Univ. Press, Princeton, NJ, 1973).
43. B. Sinervo, C. M. Lively, Nature 380, 240 (1996).
44. B. Kerr, M. A. Riley, M. W. Feldman, B. J. M. Bohannan, Nature 418, 171 (2002).
45. S. A. Frank, in Foundations of Social Evolution, J. R. Krebs, T. H. Clutton-Brock, Eds. (Princeton Univ. Press, Princeton, NJ, 1998).
46. E. Sober, D. S. Wilson, Unto Others: The Evolution and Psychology of Unselfish Behavior (Harvard Univ. Press, Cambridge, MA, 1998).
47. M. A. Nowak, R. M. May, Nature 359, 826 (1992).
48. A. Sasaki, W. D. Hamilton, F. Ubeda, Proc. R. Soc. London Ser. B 269, 761 (2002).
49. P. D. Taylor, L. Jonker, Math. Biosci. 40, 145 (1978).
50. J. Hofbauer, K. Sigmund, Evolutionary Games and Population Dynamics (Cambridge Univ. Press, Cambridge, 1998).
51. J. W. Weibull, Evolutionary Game Theory (MIT Press, Cambridge, MA, 1996).
52. C. Hauert, S. De Monte, J. Hofbauer, K. Sigmund, Science 296, 1129 (2002).
53. T. Vincent, B. Brown, Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics (Cambridge Univ. Press, Cambridge, 2003).
54. D. Fudenberg, K. Levine, The Theory of Learning in Games (MIT Press, Cambridge, MA, 1998)
55. R. Ferriere, R. Michod, Am. Nat. 147, 692 (1996).
56. U. Dieckmann, R. Law, J. A. J. Metz, Eds., The Geometry of Ecological Interactions: Simplifying Spatial Complexity (Cambridge Univ. Press, Cambridge, 2000).
57. R. Durrett, SIAM (Soc. Ind. Appl. Math.) Review 41, 677 (1999).
58. R. Cressman, Evolutionary Dynamics and Extensive Form Games (MIT Press, Cambridge, MA, 2003).
59. J. A. J. Metz, R. M. Nisbet, S. A. H. Geritz, Trends Ecol. Evol. 7, 198 (1992).
60. S. D. Mylius, O. J. Diekmann, J. Theor. Biol. 211, 297 (2001).
61. R. Boyd, J. Lorberbaum, Nature 327, 58 (1987).
62. M. A. Nowak, K. Sigmund, Acta Appl. Math. 20, 247 (1990).
63. J. Hofbauer, K. Sigmund, Appl. Math. Lett. 3, 75 (1990).
64. U. Dieckmann, R. Law, J. Math. Biol. 34, 579 (1996).
65. A. P. Hendry, J. K. Wenburg, P. Bentzen, E. C. Volk, T. P. Quinn, Science 290, 516 (2000).
66. U. Dieckmann, P. Marrow, R. Law, J. Theor. Biol. 176, 91 (1995).
67. I. Eshel, J. Theor. Biol. 103, 99 (1983).
68. F. B. Christiansen, Am. Nat. 138, 37 (1991).
69. P. D. Taylor, Theor. Pop. Biol. 36, 125 (1989).
70. M. A. Nowak, J. Theor. Biol. 142, 237 (1990).
71. J. A. J. Metz, S. A. Geritz, G. Meszena, F. J. A. Jacobs, J. S. van Heerwarden, in Stochastic and Spatial Structures of Dynamical Systems, S. J. Van Strien, S. M. Verduyn Lunel, Eds. [Koninklijke Nederlandse Academie van Wetenschappen (KNAW), Amsterdam, 1996], pp. 183-231.
72. S. A. Geritz, J. A. J. Metz, E. Kisdi, G. Meszena, Phys. Rev. Lett. 78, 2024 (1997).
73. K. Parvinen, Bull. Math. Biol. 61, 531 (1999).
74. I. Eshel, J. Math. Biol. 34, 485 (1996).
75. R. Bürger, Am. Nat. 160, 661 (2002).
76. P. Hammerstein, J. Math. Biol. 34, 511 (1996).
77. M. Slatkin, Genetics 93, 755 (1979).
78. U. Dieckmann, M. Doebeli, Nature 400, 354 (1999).
79. C. Matessi, A. Gimelfarb, S. Gavrilets, Select. Mol. Genes Memes 2, 41 (2001).
80. M. Gyllenberg, K. Parvinen, U. Dieckmann, J. Math. Biol. 45, 79-105 (2002).
81. L. Van Valen, Evol. Theory 1, 1 (1973).
82. For an interactive Web page, see www.univie.ac.at/virtuallabs.
83. K. M. Page, M. A. Nowak, J. Theor. Biol. 219, 93 (2002).
84. Support from the Austrian Science Fund WK 10008, the Packard Foundation, and J. Epstein is gratefully acknowledged.