On the instability of evolutionary stable strategies

BioSystems

Volumn 44, Issue 2, 1997, Pages 135-152

  Fogel, David B ^a   Fogel, Gary B ^b   Andrews, Peter C ^b  

^a NATURAL SELECTION INC   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Evolutionary stable strategies; Finite populations; Hawk dove game

Indexed keywords

EVOLUTIONARY STABLE STRATEGY; POPULATION MODEL;

ARTICLE; EVOLUTION; NATURAL SELECTION; POPULATION GENETICS;

EID: 0030679610     PISSN: 03032647     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0303-2647(97)00050-6     Document Type: Article

References (31)

1. Austad S.N. A game theoretical interpretation of male combat in the bowl and doily spider (Frontinella pyramitela). Anim. Behav. 31:1983;59-73.
2. Axelrod, R., 1984. The Evolution of Cooperation. Basic Books, New York.
3. Brockmann H.J., Dawkins R. Joint nesting in a digger wasp as an evolutionarily stable preadaptation to social life. Behaviour. 71:1979;203-245.
4. Brockmann H.J., Grafen A., Dawkins R. Evolutionarily stable nesting strategy in a digger wasp. J. Theor. Biol. 77:1979;473-496.
5. Cavalieri L.F., Kocak H. Intermittent transition between order and chaos in an insect pest population. J. Theor. Biol. 175:1995;231-234.
6. Davies N.B., Halliday T.R. Competitive mate searching in male common toads, Bufo Bufo. Anim. Behav. 27:1979;1253-1267.
7. Dawkins, R., 1989. The Selfish Gene, 2nd ed. Oxford University Press, Oxford.
8. Dieckmann U., Marrow P., Laws R. Evolutionary cycling in predator-prey interactions: population dynamics and the red queen. J. Theor. Biol. 176:1995;91-102.
9. Fogel D.B. Evolving behaviors in the iterated prisoner's dilemma. Evol. Comput. 1:1993;77-99.
10. Fogel, D.B., Fogel, G.B., 1995. Evolutionary stable strategies are not always stable under evolutionary dynamics. In: McDonnell, J.R., Reynolds R.G., Fogel, D.B. (Eds.), Evolutionary Programming IV: Proc. Fourth Annu. Conf. Evolutionary Programming. MIT Press, Cambridge, MA, pp. 565-577.
11. Grafen A., Sibly R. A model of mate desertion. Anim. Behav. 26:1978;645-652.
12. Gross M.R. Sneakers, satellites and parentals: polymorphic mating strategies in North American sunfishes. Z. Tierpsychol. 60:1982;1-26.
13. Gross M.R. Evolution of alternative reproductive strategies: frequency-dependent sexual selection in male bluegill sunfish. Philos. Trans. R. Soc. Lond. B. 332:1991;59-66.
14. Gross M.R., Charnov E.L. Alternative male life histories in bluegill sunfish. Proc. Natl. Acad. Sci. USA. 77:1980;6937-6940.
15. Hori M. Frequency-dependent natural selection in the handedness of scale-eating ciclid fish. Science. 260:1993;216-219.
16. Houston A.I., McNamara J.M., Webb J.N. The evolutionarily stable exploitation of a renewing resource. J. Theor. Biol. 177:1995;151-158.
17. Maynard Smith, J., 1982. Evolution and the Theory of Games. Cambridge University Press, Cambridge, UK.
18. Maynard Smith J. The games lizards play. Nature. 380:1996;198-199.
19. Maynard Smith J., Price G.R. The logic of animal conflict. Nature. 246:1973;15-18.
20. Maynard Smith J., Parker G.A. The logic of asymmetric contests. Anim. Behav. 24:1976;159-175.
21. Motro U. Co-operation and defection: playing the field and the ESS. J. Theor. Biol. 151:1991;145-154.
22. Nowak M. An evolutionarily stable strategy may be inaccessible. J. Theor. Biol. 142:1990;237-241.
23. Parker G.A. Assessment strategy and the evolution of fighting behavior. J. Theor. Biol. 47:1974;223-243.
24. Repka J., Gross M.R. The evolutionarily stable strategy under individual condition and tactic frequency. J. Theor. Biol. 176:1995;27-31.
25. Rohwer S., Rohwer F.C. Status signalling in Harris sparrows: experimental deceptions achieved. Anim. Behav. 26:1978;1012-1022.
26. Sinervo B., Lively C.M. The rock-paper-scissors game and the evolution of alternative male strategies. Nature. 380:1996;240-243.
27. Takada T., Kigami J. The dynamic attainability of ESS in evolutionary games. J. Math. Biol. 29:1991;513-529.
28. Tracy N.D., Seaman J.W. Properties of evolutionarily stable learning rules. J. Theor. Biol. 177:1995;193-198.
29. Visser M.E., Van Alphen J.J.M., Hemerik L. Adaptive superparasitism and patch time allocation in solitary parasitoids: an ESS model. J. Anim. Ecol. 61:1992;93-101.
30. Whitham T.G. The theory of habitat selection: examined and extended using pemphigus aphids. Am. Nat. 115:1980;449-466.
31. Wolf L.L., Waltz E.C. Alternative mating tactics in male white-faced dragonflies: experimental evidence for a behavioural assessment ESS. Anim. Behav. 46:1993;325-334.