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This work considers two-player zero-sum semi-Markov games with incomplete information on one side and perfect observation. At the beginning, the system selects a game type according to a given probability distribution and informs to Player…

Optimization and Control · Mathematics 2021-07-16 Fang Chen , Xianping Guo , Zhong-Wei Liao

The system mentioned in the title belongs to the family of the so-called massively multi-player online social games (MMOSG). It features a scoring system for the elements of the game that is prone to herding effects. We analyze in detail…

Probability · Mathematics 2014-02-11 Guy Fayolle , Jean-Marc Lasgouttes

Predicting outcomes in sports is important for teams, leagues, bettors, media, and fans. Given the growing amount of player tracking data, sports analytics models are increasingly utilizing spatially-derived features built upon player…

Machine Learning · Computer Science 2022-07-29 Peter Xenopoulos , Claudio Silva

In recent years, data-driven approaches have become a popular tool in a variety of sports to gain an advantage by, e.g., analysing potential strategies of opponents. Whereas the availability of play-by-play or player tracking data in sports…

Applications · Statistics 2020-03-25 Marius Ötting

Increased data availability has stimulated the interest in studying sports prediction problems via analytical approaches; in particular, with machine learning and simulation. We characterize several models that have been proposed in the…

Other Statistics · Statistics 2023-07-11 Ignacio Erazo

In this paper, a new continuous scoring system for soccer is proposed, based on the proportion of time that a team is winning, losing or tied. Several simulations are made applying this technique to complete seasons of different leagues. As…

Applications · Statistics 2018-03-22 Manuel Cruz , Sandra Ramos , Miguel Pinho

A central problem in the theory of multi-agent reinforcement learning (MARL) is to understand what structural conditions and algorithmic principles lead to sample-efficient learning guarantees, and how these considerations change as we move…

Machine Learning · Computer Science 2023-05-02 Dylan J. Foster , Dean P. Foster , Noah Golowich , Alexander Rakhlin

How much do individuals contribute to team output? I propose an econometric framework to quantify individual contributions when only the output of their teams is observed. The identification strategy relies on following individuals who work…

Econometrics · Economics 2021-02-04 Stephane Bonhomme

For professional basketball, finding valuable and suitable players is the key to building a winning team. To deal with such challenges, basketball managers, scouts and coaches are increasingly turning to analytics. Objective evaluation of…

Applications · Statistics 2016-07-26 Lu Xin , Mu Zhu , Hugh Chipman

Protecting against adversarial attacks is a common multiagent problem. Attackers in the real world are predominantly human actors, and the protection methods often incorporate opponent models to improve the performance when facing humans.…

Artificial Intelligence · Computer Science 2023-11-29 David Milec , Viliam Lisý , Christopher Kiekintveld

Individual performance metrics are commonly used to compare players from different eras. However, such cross-era comparison is often biased due to significant changes in success factors underlying player achievement rates (e.g. performance…

Physics and Society · Physics 2020-04-21 Alexander M. Petersen , Orion Penner

Basketball shot location data provide valuable summary information regarding players to coaches, sports analysts, fans, statisticians, as well as players themselves. Represented by spatial points, such data are naturally analyzed with…

Methodology · Statistics 2020-11-24 Fan Yin , Jieying Jiao , Guanyu Hu , Jun Yan

The paper proposes a natural measure space of zero-sum perfect information games with upper semicontinuous payoffs. Each game is specified by the game tree, and by the assignment of the active player and of the capacity to each node of the…

Computer Science and Game Theory · Computer Science 2021-04-22 János Flesch , Arkadi Predtetchinski , Ville Suomala

League competition is investigated using random processes and scaling techniques. In our model, a weak team can upset a strong team with a fixed probability. Teams play an equal number of head-to-head matches and the team with the largest…

Physics and Society · Physics 2007-08-13 E. Ben-Naim , N. W. Hengartner

This article shows how coworker performance affects individual performance evaluation in a teamwork setting at the workplace. We use high-quality data on football matches to measure an important component of individual performance, shooting…

General Economics · Economics 2024-03-25 Enzo Brox , Michael Lechner

This study explores the relationship between the performance of a football team and the topological parameters of temporal passing networks. To achieve this, we propose a method to identify moments of high and low team performance based on…

Physics and Society · Physics 2025-06-13 Andres Chacoma

We study a stochastic process that mimics single-game elimination tournaments. In our model, the outcome of each match is stochastic: the weaker player wins with upset probability q<=1/2, and the stronger player wins with probability 1-q.…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , S. Redner , F. Vazquez

Team Recommendation has always been a challenging aspect in team sports. Such systems aim to recommend a player combination best suited against the opposition players, resulting in an optimal outcome. In this paper, we propose a…

Computers and Society · Computer Science 2020-10-30 Prazwal Chhabra , Rizwan Ali , Vikram Pudi

A new approach in team sports analysis consists in studying positioning and movements of players during the game in relation to team performance. State of the art tracking systems produce spatio-temporal traces of players that have…

Applications · Statistics 2017-07-06 Rodolfo Metulini , Marica Manisera , Paola Zuccolotto

In team-based invasion sports such as soccer and basketball, analytics is important for teams to understand their performance and for audiences to understand matches better. The present work focuses on performing visual analytics to…

Artificial Intelligence · Computer Science 2019-07-03 Kun Zhao , Takayuki Osogami , Tetsuro Morimura