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On learning and the evolutionarily stable strategy

Published online by Cambridge University Press:  14 July 2016

W. G. S. Hines  and
D. T. Bishop
W. G. S. Hines*
Affiliation:
University of Guelph
D. T. Bishop*
Affiliation:
LDS Hospital, Salt Lake City
*
∗ Postal address: Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada N1G 2W1.
∗∗ Department of Medical Biophysics and Computing, LDS Hospital, 325 8th Avenue, Salt Lake City, UT 84143, U.S.A.
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Abstract

In evolutionarily stable strategy models, transmission of one's strategy to one's offspring has routinely been assumed to be exact, whether this transmission is genetic or by instruction. If inexact transmission of strategy is possible, however, the nature of the mode of transmission becomes important. This paper demonstrates analytically that the possibility of learning one's strategy can increase rather than decrease eventual strategy diversity and that the resulting population mean strategy can differ appreciably from an evolutionarily stable strategy. These results are found to be consistent with simulation results reported in the literature.

Keywords

ANIMAL CONFLICT MODELSDEVELOPMENTALLY STABLE STRATEGYGAME DYNAMICSLEARNING BEHAVIOURLEARNING RULEPOPULATION DYNAMICSPOPULATION STRATEGY STABILITYSTRATEGY LEARNING
Type
Short Communications
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 689 - 695
Copyright
Copyright © Applied Probability Trust 1983 

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