On the expected number of real roots of random polynomials arising from evolutionary game theory
Van Hao Can, Manh Hong Duong, Viet Hung Pham · Communications in Mathematical Sciences · 2022
In this paper, we obtain finite estimates and asymptotic formulas for the expected number of real roots of two classes of random polynomials arising from evolutionary game theory.As a consequence of our analysis, we achieve an asymptotic formula for the expected number of internal equilibria in multi-player two-strategy random evolutionary games.Our results contribute both to evolutionary game theory and random polynomial theory.