Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-05T03:13:26.798Z Has data issue: false hasContentIssue false

The distribution of evolutionarily stable strategies

Published online by Cambridge University Press:  14 July 2016

John Haigh*
Affiliation:
University of Sussex
*
Postal address: School of Mathematics and Physical Sciences, The University of Sussex, Falmer, Brighton BN1 9QH, UK.

Abstract

Suppose the n × n matrix A gives the payoffs for some evolutionary game, and its entries are the values of independent, identically distributed, continuous random variables. The distribution of the pattern of evolutionarily stable strategies for A will depend, if n ≧ 3, on this underlying distribution. A fairly complete picture for n = 3 is found, and some results are obtained for n ≧ 4.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1988 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abakuks, A. (1980) Conditions for evolutionarily stable strategies. J. Appl. Prob. 17, 559562.Google Scholar
Breen, P. and Henderson, W. (1987) Dominance in evolutionarily stable strategies. Submitted for publication.Google Scholar
Bishop, D. T. and Cannings, C. (1976) Models of animal conflict. Adv. Appl. Prob. 8, 616621.CrossRefGoogle Scholar
Cannings, C. and Vickers, G. T. (1985), (1986) Patterns of ESSs. (Annual Mathematical Genetics Meetings, Cambridge and Paris.) Google Scholar
Haigh, J. (1975) Game theory and evolution. Adv. Appl. Prob. 7, 811.Google Scholar
Maynard-Smith, J. and Price, G. R. (1973) The logic of animal conflict. Nature 246, 1518.Google Scholar