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Rating strategies in a game is an important area of research in game theory and artificial intelligence, and can be applied to any real-world competitive or cooperative setting. Traditionally, only transitive dependencies between strategies…

Computer Science and Game Theory · Computer Science 2022-10-06 Luke Marris , Marc Lanctot , Ian Gemp , Shayegan Omidshafiei , Stephen McAleer , Jerome Connor , Karl Tuyls , Thore Graepel

The availability of massive data about sports activities offers nowadays the opportunity to quantify the relation between performance and success. In this study, we analyze more than 6,000 games and 10 million events in six European leagues…

Applications · Statistics 2017-11-17 Luca Pappalardo , Paolo Cintia

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

Goalkeeper (GK) is an expert in soccer and goalkeeping is a complete professional job. In fact, achieving success seems impossible without a reliable GK. His effect in successes and failures is more dominant than other players. The most…

Artificial Intelligence · Computer Science 2013-09-26 Mohammad Bazmara , Shahram Jafari , Fatemeh Pasand

This paper presents a novel approach to analyze human decision-making that involves comparing the behavior of professional chess players relative to a computational benchmark of cognitively bounded rationality. This benchmark is constructed…

General Economics · Economics 2020-12-03 Dainis Zegners , Uwe Sunde , Anthony Strittmatter

We introduce the Tournament Rank Probability Score (TRPS) as a measure to evaluate and compare pre-tournament predictions, where predictions of the full tournament results are required to be available before the tournament begins. The TRPS…

Applications · Statistics 2019-12-17 Claus Thorn Ekstrøm , Hans Van Eetvelde , Christophe Ley , Ulf Brefeld

Ladder tournaments are widely used to rank individuals in real-world organizations and games. Their mathematical properties however are still poorly understood. We formalize the ranking rule generated by a ladder tournament, and we show…

Combinatorics · Mathematics 2015-07-07 Roland Pongou , Bertrand Tchantcho , Narcisse Tedjeugang

Learning a control policy for a multi-phase, long-horizon task, such as basketball maneuvers, remains challenging for reinforcement learning approaches due to the need for seamless policy composition and transitions between skills. A…

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work has concentrated on a single sport, and the development of meaningful cross-sport…

Applications · Statistics 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

Drafts are sequential round-robin allocation procedures for distributing heterogeneous and indivisible objects among agents subject to some priority order (e.g., allocating players' contract rights to teams in professional sports leagues).…

Theoretical Economics · Economics 2026-04-09 Jacob Coreno , Ivan Balbuzanov

A knowledgeable observer of a game of football (soccer) can make a subjective evaluation of the quality of passes made between players during the game. We investigate the problem of producing an automated system to make the same evaluation…

Machine Learning · Computer Science 2017-08-22 Michael Horton , Joachim Gudmundsson , Sanjay Chawla , Joël Estephan

Despite growing interest in quantifying and modeling the scoring dynamics within professional sports games, relative little is known about what patterns or principles, if any, cut across different sports. Using a comprehensive data set of…

Applications · Statistics 2014-03-24 Sears Merritt , Aaron Clauset

Long-term time series forecasting (LTSF) is widely recognized as a central challenge in data mining and machine learning. LTSF has increasingly evolved into a benchmark-driven ''GAME,'' where models are ranked, compared, and declared…

Machine Learning · Computer Science 2026-03-10 Thanapol Phungtua-eng , Yoshitaka Yamamoto

This study outlines a light gradient boosted model aimed at predicting shot outcomes in the NHL. The model uses the NHL's spatiotemporal data to account for both the skill of shooters and goaltenders. This approach involves isolating and…

Other Computer Science · Computer Science 2025-11-18 J. T. P. Noel

Optimizing the performance of a basketball offense may be viewed as a network problem, wherein each play represents a "pathway" through which the ball and players may move from origin (the in-bounds pass) to goal (the basket). Effective…

Physics and Society · Physics 2011-11-08 Brian Skinner

Predicting batting averages for specific batters against specific pitchers is a challenging problem in baseball. Previous methods for estimating batting averages in these matchups have used regression models that can incorporate the…

Methodology · Statistics 2024-02-06 Michael J. O'Connell

A new methodological framework suitable for era-adjusting baseball statistics is developed in this article. Within this methodological framework specific models are motivated. We call these models Full House Models. Full House Models work…

Applications · Statistics 2024-04-25 Shen Yan , Adrian Burgos , Christopher Kinson , Daniel J. Eck

Prediction is a well-studied machine learning task, and prediction algorithms are core ingredients in online products and services. Despite their centrality in the competition between online companies who offer prediction-based products,…

Computer Science and Game Theory · Computer Science 2019-05-09 Omer Ben-Porat , Moshe Tennenholtz

This paper proposes a new approach to power in Game Theory. Cooperation and conflict are simulated with a mechanism of payoff alteration, called F-game. Using convex combinations of preferences, an F-game can measure players' attitude to…

Theoretical Economics · Economics 2024-01-30 Daniele De Luca

In classical game theory, optimal strategies are determined for games with complete information; this requires knowledge of the opponent's goals. We analyze games when a player is mistaken about their opponents goals. For definitiveness, we…

Computer Science and Game Theory · Computer Science 2023-07-21 Dan Zwillinger , Paul San Clemente