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Soccer is undeniably the most popular sport world-wide and everyone from general managers and coaching staff to fans and media are interested in evaluating players' performance. Metrics applied successfully in other sports, such as the…

Applications · Statistics 2020-12-04 Konstantinos Pelechrinis , Wayne Winston

In a basketball game, scoring efficiency holds significant importance due to the numerous offensive possessions per game. Enhancing scoring efficiency necessitates effective collaboration among players with diverse playing styles. In…

Machine Learning · Computer Science 2024-03-22 Kazuhiro Yamada , Keisuke Fujii

In team sports, traditional ranking statistics do not allow for the simultaneous evaluation of both individuals and combinations of players. Metrics for individual player rankings often fail to include the interaction effects between groups…

Methodology · Statistics 2025-05-09 Nathaniel Josephs , Elizabeth Upton

Several performance metrics for quantifying the in-game performances of individual football players have been proposed in recent years. Although the majority of the on-the-ball actions during games constitutes of passes, many of the…

Applications · Statistics 2018-10-05 Lotte Bransen , Jan Van Haaren

Value functions are used in sports applications to determine the optimal action players should employ. However, most literature implicitly assumes that the player can perform the prescribed action with known and fixed probability of…

Optimization and Control · Mathematics 2021-10-05 Timothy C. Y. Chan , Douglas S. Fearing , Craig Fernandes , Stephanie Kovalchik

Online competitive games have become increasingly popular. To ensure an exciting and competitive environment, these games routinely attempt to match players with similar skill levels. Matching players is often accomplished through a rating…

Information Retrieval · Computer Science 2020-08-18 Arman Dehpanah , Muheeb Faizan Ghori , Jonathan Gemmell , Bamshad Mobasher

The success of a football team depends on various individual skills and performances of the selected players as well as how cohesively they perform. We propose a two-stage process for selecting optimal playing eleven of a football team from…

Applications · Statistics 2023-04-14 Soudeep Deb , Shubhabrata Das

In stochastic dynamic environments, team Markov games have emerged as a versatile paradigm for studying sequential decision-making problems of fully cooperative multi-agent systems. However, the optimality of the derived policies is usually…

Optimization and Control · Mathematics 2022-05-03 Feng Huang , Ming Cao , Long Wang

In this paper we describe an approach to resolve strategic games in which players can assume different types along the game. Our goal is to infer which type the opponent is adopting at each moment so that we can increase the player's odds.…

Computer Science and Game Theory · Computer Science 2014-04-02 Mario Benevides , Isaque Lima , Rafael Nader , Pedro Rougemont

Recognizing actions in ice hockey using computer vision poses challenges due to bulky equipment and inadequate image quality. A novel two-stream framework has been designed to improve action recognition accuracy for hockey using three main…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Zixi Cai , Helmut Neher , Kanav Vats , David Clausi , John Zelek

Although academic research on the 'hot hand' effect (in particular, in sports, especially in basketball) has been going on for more than 30 years, it still remains a central question in different areas of research whether such an effect…

Applications · Statistics 2019-11-20 Marius Ötting , Andreas Groll

The seminal Bradley-Terry model exhibits transitivity, i.e., the property that the probabilities of player A beating B and B beating C give the probability of A beating C, with these probabilities determined by a skill parameter for each…

Methodology · Statistics 2025-04-10 Jess Spearing , Jonathan Tawn , David Irons , Tim Paulden

A variety of machine learning models have been proposed to assess the performance of players in professional sports. However, they have only a limited ability to model how player performance depends on the game context. This paper proposes…

Machine Learning · Computer Science 2018-07-17 Guiliang Liu , Oliver Schulte

Our objective is to find the five best college sports coaches of past century for three different sports. We decided to look at men's basketball, football, and baseball. We wanted to use an approach that could definitively determine team…

Applications · Statistics 2014-04-11 Tian-Shun Jiang , Zachary Polizzi , Christopher Yuan

Consider a two-player game repeated N times. Player 1 can choose between two styles (for interpretability, offensive and defensive), whereas Player 2 uses a single fixed style. Let X N\,:= \#wins -\#losses for Player 1 after N games, and…

Computer Science and Game Theory · Computer Science 2026-04-20 Jonatha ANSELMI , Bruno Gaujal

In many predictive decision-making scenarios, such as credit scoring and academic testing, a decision-maker must construct a model that accounts for agents' propensity to "game" the decision rule by changing their features so as to receive…

Machine Learning · Computer Science 2022-08-26 Yonadav Shavit , Benjamin Edelman , Brian Axelrod

We consider the task of determining a football player's ability for a given event type, for example, scoring a goal. We propose an interpretable Bayesian model which is fit using variational inference methods. We implement a Poisson model…

Applications · Statistics 2020-09-24 Gavin A. Whitaker , Ricardo Silva , Daniel Edwards , Ioannis Kosmidis

We present evidence, based on play-by-play data from all 6087 games from the 2006/07--2009/10 seasons of the National Basketball Association (NBA), that basketball scoring is well described by a weakly-biased continuous-time random walk.…

Data Analysis, Statistics and Probability · Physics 2014-07-25 Alan Gabel , S. Redner

Competition is a primary driver of player satisfaction and engagement in multiplayer online games. Traditional matchmaking systems aim at creating matches involving teams of similar aggregated individual skill levels, such as Elo score or…

Social and Information Networks · Computer Science 2020-06-25 Sofia M Nikolakaki , Ogheneovo Dibie , Ahmad Beirami , Nicholas Peterson , Navid Aghdaie , Kazi Zaman

We introduce and study incentive equilibria for multi-player meanpayoff games. Incentive equilibria generalise well-studied solution concepts such as Nash equilibria and leader equilibria (also known as Stackelberg equilibria). Recall that…

Computer Science and Game Theory · Computer Science 2015-11-03 Anshul Gupta , M. S. Krishna Deepak , Bharath Kumar Padarthi , Sven Schewe , Ashutosh Trivedi
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