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A dynamic programming approach to evolutionarily stable strategy theory
Published online by Cambridge University Press: 01 July 2016
Extract
In the war of attrition (wa), introduced by Maynard Smith (1974), two contestants play values from [0, ∞), the individual playing the longer value winning a fixed prize V, and both incurring a loss equal to the lesser of the two values. Thus the payoff, E(x, y) to an animal playing x against one playing y, is A more general form (Bishop and Cannings (1978)) has and it was demonstrated that with and there exists a unique evolutionarily stable strategy (ess), which is to choose a random value from a specified density function on [0, ∞). Results were also obtained for strategy spaces [0, s] and [0, s).
- Type
- Symposium on Mathematical Genetics, London, 26–27 March 1979
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- Copyright © Applied Probability Trust 1980
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