论文标题
关于由进化游戏理论引起的随机多项式的预期数量
On the expected number of real roots of random polynomials arising from evolutionary game theory
论文作者
论文摘要
在本文中,我们获得了有限的估计和渐近公式,用于由进化游戏理论引起的两类随机多项式的实际根数的预期数。由于我们的分析,我们实现了多玩家两策略随机进化游戏中预期内部均衡数量的渐近公式。我们的结果既有助于进化游戏理论和随机多项式理论。
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.