一个Elo型的球员和球队的可变实力评级模型
An Elo-type rating model for players and teams of variable strength
摘要：
Elo评级系统最初由Arpad Elo为国际象棋提出，现已成为当今体育，经济和游戏中最重要的评级系统之一。它最初的提法是基于两个玩家的零和对策，但它已被改编为团队运动和其他设置。2015年，Junca和Jabin提出了Elo模型的动力学版本，并表明在某些假设下，评级确实会向玩家的实力收敛。在本文中，我们概括了他们的模型，以说明个人球员或球队的可变性能。我们讨论了基本的建模假设，推导出相应的正式平均场模型，并说明了计算结果的动态。
英文摘要：
The Elo rating system, which was originally proposed by Arpad Elo for chess, has become one of the most important rating systems in sports, economics and gaming nowadays. Its original formulation is based on two-player zero-sum games, but it has been adapted for team sports and other settings. In 2015, Junca and Jabin proposed a kinetic version of the Elo model, and showed that under certain assumptions the ratings do converge towards the players' strength. In this paper we generalise their model to account for variable performance of individual players or teams. We discuss the underlying modelling assumptions, derive the respective formal mean-field model and illustrate the dynamics with computational results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
