论文标题
ELO型评级模型的稳态状态
Steady states of an Elo-type rating model for players of varying strength
论文作者
论文摘要
在本文中，我们研究了具有可变强度的大量相互作用的玩家的ELO型评级模型的长期行为。该模型导致非线性均值field fokker-planck方程，我们通过Schauder固定点参数显示了稳态的存在。我们的证明依赖于使用低调技术对相关线性方程的研究。
In this paper we study the long-time behaviour of a kinetic formulation of an Elo-type rating model for a large number of interacting players with variable strength. The model results in a non-linear mean-field Fokker-Planck equation and we show the existence of steady states via a Schauder fixed point argument. Our proof relies on the study of a related linear equation using hypocoercivity techniques.
