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Persistence probability of a random polynomial arising from evolutionary game theory
Published online by Cambridge University Press: 01 October 2019
Abstract
We obtain an asymptotic formula for the persistence probability in the positive real line of a random polynomial arising from evolutionary game theory. It corresponds to the probability that a multi-player two-strategy random evolutionary game has no internal equilibria. The key ingredient is to approximate the sequence of random polynomials indexed by their degrees by an appropriate centered stationary Gaussian process.
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- © Applied Probability Trust 2019
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