Persistence probability of a random polynomial arising from evolutionary game theory
Analysis of PDEs
2019-05-31 v2 Mathematical Physics
Dynamical Systems
math.MP
Probability
Populations and Evolution
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.
Keywords
Cite
@article{arxiv.1804.05908,
title = {Persistence probability of a random polynomial arising from evolutionary game theory},
author = {Van Hao Can and Manh Hong Duong and Viet Hung Pham},
journal= {arXiv preprint arXiv:1804.05908},
year = {2019}
}
Comments
revised version