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Biology and Evolutionary Games

  • Mark Broom
  • Vlastimil Křivan
Reference work entry

Abstract

This chapter surveys some evolutionary games used in biological sciences. These include the Hawk–Dove game, the Prisoner’s Dilemma, Rock–Paper–Scissors, the war of attrition, the Habitat Selection game, predator–prey games, and signaling games.

Keywords

Battle of the Sexes Foraging games Habitat Selection game Hawk–Dove game Prisoner’s Dilemma Rock–Paper–Scissors Signaling games War of attrition 

Notes

Acknowledgements

This project has received funding from the European Union Horizon 2020 research and innovation programe under the Marie Sklodowska-Curie grant agreement No 690817. VK acknowledges support provided by the Institute of Entomology (RVO:60077344).

References

  1. Argasinski K (2006) Dynamic multipopulation and density dependent evolutionary games related to replicator dynamics. A metasimplex concept. Math Biosci 202:88–114Google Scholar
  2. Axelrod R (1981) The emergence of cooperation among egoists. Am Political Sci Rev 75:306–318Google Scholar
  3. Axelrod R (1984) The evolution of cooperation. Basic Books, New YorkGoogle Scholar
  4. Axelrod R, Hamilton WD (1981) The Evolution of cooperation. Science 211:1390–1396Google Scholar
  5. Ball MA, Parker GA (2007) Sperm competition games: the risk model can generate higher sperm allocation to virgin females. J Evol Biol 20:767–779Google Scholar
  6. Bendorf J, Swistak P (1995) Types of evolutionary stability and the problem of cooperation. Proc Natl Acad Sci USA 92:3596–3600Google Scholar
  7. Berec M, Křivan V, Berec L (2003) Are great tits parus major really optimal foragers? Can J Zool 81:780–788Google Scholar
  8. Berec M, Křivan V, Berec L (2006) Asymmetric competition, body size and foraging tactics: testing an ideal free distribution in two competing fish species. Evol Ecol Res 8:929–942Google Scholar
  9. Bergstrom C, Lachmann M (1998) Signaling among relatives. III. Talk is cheap. Proc Natl Acad Sci USA 95:5100–5105Google Scholar
  10. Bishop DT, Cannings C (1976) Models of animal conflict. Adv appl probab 8:616–621Google Scholar
  11. Blanckenhorn WU, Morf C, Reuter M (2000) Are dung flies ideal-free distributed at their oviposition and mating site? Behaviour 137:233–248Google Scholar
  12. Broom M, Rychtar J (2013) Game-theoretical models in biology. CRC Press/Taylor & Francis Group, Boca RatonGoogle Scholar
  13. Broom M, Cannings C, Vickers G (1997) Multi-player matrix games. Bull Austral Math Soc 59:931–952Google Scholar
  14. Broom M, Luther RM, Ruxton GD (2004) Resistance is useless? – extensions to the game theory of kleptoparasitism. Bull Math Biol 66:1645–1658Google Scholar
  15. Brown JS (1999) Vigilance, patch use and habitat selection: foraging under predation risk. Evol Ecol Res 1:49–71Google Scholar
  16. Brown JS, Vincent TL (1987) Predator-prey coevolution as an evolutionary game. Lect Notes Biomath 73:83–101Google Scholar
  17. Brown JS, Laundré JW, Gurung M (1999) The ecology of fear: optimal foraging, game theory, and trophic interactions. J Mammal 80:385–399Google Scholar
  18. Brown JS, Kotler BP, Bouskila A (2001) Ecology of fear: Foraging games between predators and prey with pulsed resources. Ann Zool Fennici 38:71–87Google Scholar
  19. Cantrell RS, Cosner C, DeAngelis DL, Padron V (2007) The ideal free distribution as an evolutionarily stable strategy. J Biol Dyn 1:249–271Google Scholar
  20. Cantrell RS, Cosner C, Lou Y (2012) Evolutionary stability of ideal free dispersal strategies in patchy environments. J Math Biol 65:943–965. doi:10.1007/s00285-011-0486-5Google Scholar
  21. Charnov EL (1976) Optimal foraging: attack strategy of a mantid. Am Nat 110:141–151Google Scholar
  22. Comins H, Hamilton W, May R (1980) Evolutionarily stable dispersal strategies. J Theor Biol 82:205–230Google Scholar
  23. Cosner C (2005) A dynamic model for the ideal-free distribution as a partial differential equation. Theor Popul Biol 67:101–108Google Scholar
  24. Cressman R (2003) Evolutionary dynamics and extensive form games. The MIT Press, Cambridge, MAGoogle Scholar
  25. Cressman R, Křivan V (2006) Migration dynamics for the ideal free distribution. Am Nat 168:384–397Google Scholar
  26. Cressman R, Tran T (2015) The ideal free distribution and evolutionary stability in habitat selection games with linear fitness and Allee effect. In: Cojocaru MG (ed) Interdisciplinary topics in applied mathematics, modeling and computational science. Springer proceedings in mathematics & statistics, vol 117. Springer, Cham, pp 457–464Google Scholar
  27. Cressman R, Křivan V, Brown JS, Gáray J (2014) Game-theoretical methods for functional response and optimal foraging behavior. PLOS ONE 9:e88,773Google Scholar
  28. Darwin C (1871) The descent of man and selection in relation to sex. John Murray, LondonGoogle Scholar
  29. Dawkins R (1976) The selfish gene. Oxford University Press, OxfordGoogle Scholar
  30. Doncaster CP, Clobert J, Doligez B, Gustafsson L, Danchin E (1997) Balanced dispersal between spatially varying local populations: an alternative to the source-sink model. Am Nat 150:425–445Google Scholar
  31. Dugatkin LA, Reeve HK (1998) Game theory & animal behavior. Oxford University Press, New YorkGoogle Scholar
  32. Durrett R (2014) Spatial evolutionary games with small selection coefficients. Electron J Probab 19:1–64Google Scholar
  33. Fehr E, Gachter S (2002) Altruistic punishment in humans. Nature 415:137–140Google Scholar
  34. Flood MM (1952) Some experimental games. Technical report RM-789-1, The RAND corporation, Santa MonicaGoogle Scholar
  35. Flower T (2011) Fork-tailed drongos use deceptive mimicked alarm calls to steal food. Proc R Soc B 278:1548–1555Google Scholar
  36. Fretwell DS, Lucas HL (1969) On territorial behavior and other factors influencing habitat distribution in birds. Acta Biotheor 19:16–32Google Scholar
  37. Gatenby RA, Gillies R, Brown J (2010) The evolutionary dynamics of cancer prevention. Nat Rev Cancer 10:526–527Google Scholar
  38. Gilpin ME (1975) Group selection in predator-prey communities. Princeton University Press, PrincetonGoogle Scholar
  39. Gokhale CS, Traulsen A (2014) Evolutionary multiplayer games. Dyn Games Appl 4:468–488Google Scholar
  40. Grafen A (1990a) Biological signals as handicaps. J Theor Biol 144:517–546Google Scholar
  41. Grafen A (1990b) Do animals really recognize kin? Anim Behav 39:42–54Google Scholar
  42. Haigh J (1975) Game theory and evolution. Adv Appl Probab 7:8–11Google Scholar
  43. Hamilton WD (1964) The genetical evolution of social behavior. J Theor Biol 7:1–52Google Scholar
  44. Hamilton WD (1967) Extraordinary sex ratios. Science 156:477–488Google Scholar
  45. Hamilton WD, May RM (1977) Dispersal in stable environments. Nature 269:578–581Google Scholar
  46. Hammerstein P, Parker GA (1982) The asymmetric war of attrition. J Theor Biol 96:647–682Google Scholar
  47. Hardin G (1968) The tragedy of the commons. Science 162:1243–1248Google Scholar
  48. Hastings A (1983) Can spatial variation alone lead to selection for dispersal? Theor Popul Biol 24:244–251Google Scholar
  49. Hofbauer J, Sigmund K (1998) Evolutionary games and population dynamics. Cambridge University Press, Cambridge, UKGoogle Scholar
  50. Holling CS (1959) Some characteristics of simple types of predation and parasitism. Can Entomol 91:385–398Google Scholar
  51. Holt RD, Barfield M (2001) On the relationship between the ideal-free distribution and the evolution of dispersal. In: Danchin JCE, Dhondt A, Nichols J (eds) Dispersal. Oxford University Press, Oxford/New York, pp 83–95Google Scholar
  52. Houston AI, McNamara JM (1999) Models of adaptive behaviour. Cambridge University Press, Cambridge, UKGoogle Scholar
  53. Kerr B, Riley M, Feldman M, Bohannan B (2002) Local dispersal promotes biodiversity in a real-life game of rock-paper-scissors. Nature 418:171–174Google Scholar
  54. Kokko H (2007) Modelling for field biologists and other interesting people. Cambridge University Press, Cambridge, UKGoogle Scholar
  55. Komorita SS, Sheposh JP, Braver SL (1968) Power, use of power, and cooperative choice in a two-person game. J Personal Soc Psychol 8:134–142Google Scholar
  56. Krebs JR, Erichsen JT, Webber MI, Charnov EL (1977) Optimal prey selection in the great tit (Parus major). Anim Behav 25:30–38Google Scholar
  57. Křivan V (1997) Dynamic ideal free distribution: effects of optimal patch choice on predator-prey dynamics. Am Nat 149:164–178Google Scholar
  58. Křivan V (2014) Competition in di- and tri-trophic food web modules. J Theor Biol 343:127–137Google Scholar
  59. Křivan V, Sirot E (2002) Habitat selection by two competing species in a two-habitat environment. Am Nat 160:214–234Google Scholar
  60. Křivan V, Cressman R, Schneider C (2008) The ideal free distribution: a review and synthesis of the game theoretic perspective. Theor Popul Biol 73:403–425Google Scholar
  61. Lambert G, Liao D, Vyawahare S, Austin RH (2011) Anomalous spatial redistribution of competing bacteria under starvation conditions. J Bacteriol 193:1878–1883Google Scholar
  62. Lieberman E, Hauert C, Nowak MA (2005) Evolutionary dynamics on graphs. Nature 433:312–316Google Scholar
  63. Lorenz K (1963) Das sogenannte Böse zur Naturgeschichte der Aggression. Verlag Dr. G Borotha-SchoelerGoogle Scholar
  64. Mariani P, Křivan V, MacKenzie BR, Mullon C (2016) The migration game in habitat network: the case of tuna. Theor Ecol 9:219–232CrossRefGoogle Scholar
  65. Maynard Smith J (1974) The theory of games and the evolution of animal conflicts. J Theor Biol 47:209–221MathSciNetCrossRefGoogle Scholar
  66. Maynard Smith J (1982) Evolution and the theory of games. Cambridge University Press, Cambridge, UKCrossRefGoogle Scholar
  67. Maynard Smith J (1991) Honest signalling: the Philip Sidney Game. Anim Behav 42:1034–1035CrossRefGoogle Scholar
  68. Maynard Smith J, Parker GA (1976) The logic of asymmetric contests. Anim Behav 24:159–175CrossRefGoogle Scholar
  69. Maynard Smith J, Price GR (1973) The logic of animal conflict. Nature 246:15–18CrossRefGoogle Scholar
  70. McNamara JM, Houston AI (1992) Risk-sensitive foraging: a review of the theory. Bull Math Biol 54:355–378CrossRefGoogle Scholar
  71. McPeek MA, Holt RD (1992) The evolution of dispersal in spatially and temporally varying environments. Am Nat 140:1010–1027CrossRefGoogle Scholar
  72. Mesterton-Gibbons M, Sherratt TN (2014) Bourgeois versus anti-Bourgeois: a model of infinite regress. Anim Behav 89:171–183CrossRefGoogle Scholar
  73. Milinski M (1979) An evolutionarily stable feeding strategy in sticklebacks. Zeitschrift für Tierpsychologie 51:36–40CrossRefGoogle Scholar
  74. Milinski M (1988) Games fish play: making decisions as a social forager. Trends Ecol Evol 3:325–330CrossRefGoogle Scholar
  75. Moran P (1958) Random processes in genetics. In: Mathematical proceedings of the Cambridge philosophical society, vol 54. Cambridge University Press, Cambridge, UK, pp 60–71Google Scholar
  76. Morris DW (1999) Has the ghost of competition passed? Evol Ecol Res 1:3–20Google Scholar
  77. Morris DW (2002) Measuring the Allee effect: positive density dependence in small mammals. Ecology 83:14–20CrossRefGoogle Scholar
  78. Nowak MA (2006) Five rules for the evolution of cooperation. Science 314:1560–1563CrossRefGoogle Scholar
  79. Nowak MA, May RM (1994) Superinfection and the evolution of parasite virulence. Proc R Soc Lond B 255:81–89CrossRefGoogle Scholar
  80. Parker GA (1978) Searching for mates. In: Krebs JR, Davies NB (eds) Behavioural ecology: an evolutionary approach. Blackwell, Oxford, pp 214–244Google Scholar
  81. Parker GA (1984) Evolutionarily stable strategies. In: Krebs JR, Davies NB (eds) Behavioural ecology: an evolutionary approach. Blackwell, Oxford, pp 30–61Google Scholar
  82. Parker GA, Thompson EA (1980) Dung fly struggles: a test of the war of attrition. Behav Ecol Sociobiol 7:37–44CrossRefGoogle Scholar
  83. Poundstone W (1992) Prisoner’s Dilemma. Oxford University Press, New YorkGoogle Scholar
  84. Selten R (1980) A note on evolutionarily stable strategies in asymmetrical animal conflicts. J Theor Biol 84:93–101MathSciNetCrossRefGoogle Scholar
  85. Sherratt TN, Mesterton-Gibbons M (2015) The evolution of respect for property. J Evol Biol 28:1185–1202CrossRefGoogle Scholar
  86. Sigmund K (2007) Punish or perish? Retaliation and collaboration among humans. Trends Ecol Evol 22:593–600CrossRefGoogle Scholar
  87. Sinervo B, Lively CM (1996) The rock-paper-scissors game and the evolution of alternative male strategies. Nature 380:240–243CrossRefGoogle Scholar
  88. Sirot E (2012) Negotiation may lead selfish individuals to cooperate: the example of the collective vigilance game. Proc R Soc B 279:2862–2867CrossRefGoogle Scholar
  89. Spencer H (1864) The Principles of biology. Williams and Norgate, LondonGoogle Scholar
  90. Stephens DW, Krebs JR (1986) Foraging theory. Princeton University Press, PrincetonGoogle Scholar
  91. Takeuchi Y (1996) Global dynamical properties of Lotka-Volterra systems. World Scientific Publishing Company, SingaporeCrossRefGoogle Scholar
  92. Taylor PD, Jonker LB (1978) Evolutionary stable strategies and game dynamics. Math Biosci 40:145–156MathSciNetCrossRefGoogle Scholar
  93. Vincent TL, Brown JS (2005) Evolutionary game theory, natural selection, and Darwinian dynamics. Cambridge University Press, Cambridge, UKCrossRefGoogle Scholar
  94. Webb JN, Houston AI, McNamara JM, Székely T (1999) Multiple patterns of parental care. Anim Behav 58:983–993CrossRefGoogle Scholar
  95. Wynne-Edwards VC (1962) Animal dispersion in relation to social behaviour. Oliver & Boyd, EdinburghGoogle Scholar
  96. Xu F, Cressman R, Křivan V (2014) Evolution of mobility in predator-prey systems. Discret Contin Dyn Syst Ser B 19:3397–3432MathSciNetCrossRefGoogle Scholar
  97. Zahavi A (1975) Mate selection–selection for a handicap. J Theor Biol 53:205–214CrossRefGoogle Scholar
  98. Zahavi A (1977) Cost of honesty–further remarks on handicap principle. J Theor Biol 67:603–605CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsCity, University LondonLondonUK
  2. 2.Biology CenterCzech Academy of SciencesČeské BudějoviceCzech Republic
  3. 3.Faculty of ScienceUniversity of South BohemiaČeské BudějoviceCzech Republic

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