On the expected number of real roots of random polynomials arising from evolutionary game theory

Van Hao Can, Manh Hong Duong, Viet Pham

Type: Article

Publication Date: 2022-01-01

Citations: 0

DOI: https://doi.org/10.4310/cms.2022.v20.n6.a7

Abstract

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.

Locations

Communications in Mathematical Sciences - View
arXiv (Cornell University) - View - PDF
University of Birmingham Research Portal (University of Birmingham) - View - PDF

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Works Cited by This (22)

Action	Title	Year	Authors
+	Topics in Random Polynomials	1998	K. Farahmand
+	On the Distribution of Roots of Random Polynomials	1993	Eric Kostlan
+	An improved lower bound for the expected number of real zeros of a random algebraic polynomials	1984	Mark Christensen M. Sambandham
+ PDF Chat	On the Average Number of Real Roots of a Random Algebraic Equation	1986	K. Farahmand
+	Random polynomials and expected complexity of bisection methods for real solving	2010	Ioannis Z. Emiris André Galligo Elias Tsigaridas
+ PDF Chat	Local Universality of Zeroes of Random Polynomials	2014	Terence Tao Van Vu
+ PDF Chat	How many zeros of a random polynomial are real?	1995	Alan Edelman Eric Kostlan
+ PDF Chat	Roots of random polynomials with coefficients of polynomial growth	2018	Yen Do Hoi H. Nguyen Van Vu
+	Roots of random functions: A general condition for local universality	2017	Hoi H. Nguyen Van Vu
+ PDF Chat	On the number of real roots of random polynomials	2015	Hoi H. Nguyen Hoi H. Nguyen Van Vu