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arXiv · 1804.05908

Persistence probability of a random polynomial arising from evolutionary game theory

Van Hao Can·Manh Hong Duong·Viet Hung Pham
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Abstract

In this paper, 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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Van Hao Can, Manh Hong Duong, Viet Hung Pham. 2018-04-16. Persistence probability of a random polynomial arising from evolutionary game theory. https://arxiv.org/abs/1804.05908

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