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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

A quest for uncovering influence of behaviour on team performance involves understanding individual behaviour, interactions with others and environment, variations across groups, and effects of interventions. Although insights into each of…

Physics and Society · Physics 2025-04-11 Hidemasa Ishii , Yohei Takai , Yuichiro Marui , Yoshihiro Yamazaki , Yusuke Kato , Hiroshi Kori

This paper explores the significant history of professional football and the betting industry, tracing its evolution from clandestine beginnings to a lucrative multi-million-pound enterprise. Initiated by the legalization of gambling in…

Machine Learning · Computer Science 2024-03-26 Purnachandra Mandadapu

The online sports gambling industry employs teams of data analysts to build forecast models that turn the odds at sports games in their favour. While several betting strategies have been proposed to beat bookmakers, from expert prediction…

Applications · Statistics 2017-11-15 Lisandro Kaunitz , Shenjun Zhong , Javier Kreiner

The paper studies one-shot two-player games with non-Bayesian uncertainty. The players have an attitude that ranges from optimism to pessimism in the face of uncertainty. Given the attitudes, each player forms a belief about the set of…

Computer Science and Game Theory · Computer Science 2015-03-13 Jiwoong Lee , Jean Walrand

This paper presents a novel approach for optimizing betting strategies in sports gambling by integrating Von Neumann-Morgenstern Expected Utility Theory, deep learning techniques, and advanced formulations of the Kelly Criterion. By…

Portfolio Management · Quantitative Finance 2023-07-27 Vélez Jiménez , Román Alberto , Lecuanda Ontiveros , José Manuel , Edgar Possani

This paper studies the optimization of strategies in the context of possibly randomized two players zero-sum games with incomplete information. We compare 5 algorithms for tuning the parameters of strategies over a benchmark of 12 games. A…

Computer Science and Game Theory · Computer Science 2018-07-06 Marie-Liesse Cauwet , Olivier Teytaud

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

In the run-up to any major sports tournament, winning probabilities of participants are publicized for engagement and betting purposes. These are generally based on simulating the tournament tens of thousands of times by sampling from…

Computation · Statistics 2023-07-21 Ulrik Brandes , Gordana Marmulla , Ivana Smokovic

Converting betting odds into accurate outcome probabilities is a fundamental challenge in order to use betting odds as a benchmark for sports forecasting and market efficiency analysis. In this study, we propose two methods to overcome the…

Machine Learning · Statistics 2026-04-21 Kaito Goto , Naoya Takeishi , Takehisa Yairi

We propose a continuous version of the classical Gale--Berlekamp switching game. We also study a weighted version of this new continuous game. The main results of this paper concern growth estimates for the corresponding optimization…

Combinatorics · Mathematics 2020-03-16 Daniel Pellegrino , Janiely Silva , Eduardo V. Teixeira

Game balancing is an important part of the (computer) game design process, in which designers adapt a game prototype so that the resulting gameplay is as entertaining as possible. In industry, the evaluation of a game is often based on…

Human-Computer Interaction · Computer Science 2016-03-15 Vanessa Volz , Günter Rudolph , Boris Naujoks

Football is a very result-driven industry, with goals being rarer than in most sports, so having further parameters to judge the performance of teams and individuals is key. Expected Goals (xG) allow further insight than just a scoreline.…

Machine Learning · Computer Science 2023-09-04 James H. Hewitt , Oktay Karakuş

This paper considers a problem of planning an attack in robotic football (RoboCup). The problem is reduced to finding a trajectory of the ball from its current position to the opponents goals. Heuristic search algorithm, i.e. A*, is used to…

Robotics · Computer Science 2020-08-05 Ivan Khokhlov , Vladimir Litvinenko , Ilya Ryakin , Konstantin Yakovlev

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

Predicting the results of soccer matches is of great interest. This is not only due to the popularity of the sport and the joy of private "betting rounds", but also due to the large sports betting market. Where previously expert knowledge…

Applications · Statistics 2025-07-09 Mirko Fischer , Andreas Heuer

An efficient method for finding a better maximizer of computationally extensive probability distributions is proposed on the basis of a Bayesian optimization technique. A key idea of the proposed method is to use extreme values of…

Data Analysis, Statistics and Probability · Physics 2018-03-14 Ryo Tamura , Koji Hukushima

Evolutionary game theory is a framework to formalize the evolution of collectives ("populations") of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. There are two…

Adaptation and Self-Organizing Systems · Physics 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko

Variational inequalities are modelling tools used to capture a variety of decision-making problems arising in mathematical optimization, operations research, game theory. The scenario approach is a set of techniques developed to tackle…

Optimization and Control · Mathematics 2020-03-17 Dario Paccagnan , Marco C. Campi

In this paper, we present a novel sequential team selection model in soccer. Specifically, we model the stochastic process of player injury and unavailability using player-specific information learned from real-world soccer data.…

Artificial Intelligence · Computer Science 2024-02-08 Gregory Everett , Ryan Beal , Tim Matthews , Timothy J. Norman , Sarvapali D. Ramchurn