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Sports betting markets are proven real-world laboratories to test theories of asset pricing anomalies and risky behaviour. Using a high-frequency dataset provided directly by a major bookmaker, containing the odds and amounts staked…

General Economics · Economics 2022-11-14 Marius Ötting , Christian Deutscher , Carl Singleton , Luca De Angelis

Sports betting markets have grown very rapidly recently, with the total European gambling market worth 98.6 billion euro in 2019. Considering a high-resolution (1 Hz) data set provided by a large European bookmaker, we investigate the…

Physics and Society · Physics 2022-02-14 Marius Ötting , Rouven Michels , Roland Langrock , Christian Deutscher

We use the fertile ground of betting markets to study the anticipation of major news in financial markets. While there is a considerable body of literature on the accuracy and efficiency of betting markets after important in-match events,…

General Economics · Economics 2025-05-28 David Winkelmann , Christian Deutscher

It is still largely unclear to what extent bettors update their prior assumptions about the strength and form of competing teams considering the dynamics during the match. This is of interest not only from the psychological perspective, but…

Applications · Statistics 2022-11-04 Rouven Michels , Marius Ötting , Roland Langrock

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

We provide practical, efficient, and nonparametric methods for auditing the fairness of deployed classification and regression models. Whereas previous work relies on a fixed-sample size, our methods are sequential and allow for the…

Machine Learning · Statistics 2025-05-19 Ben Chugg , Santiago Cortes-Gomez , Bryan Wilder , Aaditya Ramdas

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 sports betting industry has experienced rapid growth, driven largely by technological advancements and the proliferation of online platforms. Machine learning (ML) has played a pivotal role in the transformation of this sector by…

Machine Learning · Computer Science 2024-10-30 René Manassé Galekwa , Jean Marie Tshimula , Etienne Gael Tajeuna , Kyamakya Kyandoghere

We propose utilizing match-level suspense and surprise - which capture the entertainment utility created by competitive balance and outcome uncertainty for sports spectators - as alternative policy targets for league organizers and…

General Economics · Economics 2025-06-27 Raphael Flepp , Tim Pawlowski , Travis Richardson

Artificial intelligence-based systems for player risk detection have become central to harm prevention efforts in the gambling industry. However, growing concerns around transparency and effectiveness have highlighted the absence of…

This paper aims to reduce randomness in football by analysing the role of lineups in final scores using machine learning prediction models we have developed. Football clubs invest millions of dollars on lineups and knowing how individual…

Machine Learning · Computer Science 2023-01-18 George Peters , Diogo Pacheco

In recent years excessive monetization of football and professionalism among the players has been argued to have affected the quality of the match in different ways. On the one hand, playing football has become a high-income profession and…

Physics and Society · Physics 2023-01-05 Victor Martins Maimone , Taha Yasseri

Decisions taken in our everyday lives are based on a wide variety of information so it is generally very difficult to assess what are the strategies that guide us. Stock market therefore provides a rich environment to study how people take…

General Finance · Quantitative Finance 2016-09-28 Mario Gutiérrez-Roig , Carlota Segura , Jordi Duch , Josep Perelló

In economy, markets are denoted as efficient when it is impossible to systematically generate profits which outperform the average. In the past years, the concept has been tested in other domains such as the growing sports betting market.…

Physics and Society · Physics 2023-03-30 Ralph Stömmer

Competitive balance in a football league is extremely important from the perspective of economic growth of the industry. Many researchers have earlier proposed different measures of competitive balance, which are primarily adapted from the…

Applications · Statistics 2021-02-19 Soudeep Deb

The recent growth in data availability in football has increased the risk of incorrect use of data-driven models, making guidelines on their validation and application necessary. The Expected Threat (xT) model is an accessible option for…

Applications · Statistics 2026-04-28 Koen van Arem , Jakob Söhl , Mirjam Bruinsma , Geurt Jongbloed

Machine learning systems deployed in the real world must operate under dynamic and often unpredictable distribution shifts. This challenges the validity of statistical safety assurances on the system's risk established beforehand. Common…

Machine Learning · Statistics 2025-06-23 Alexander Timans , Rajeev Verma , Eric Nalisnick , Christian A. Naesseth

In the last round of the FIFA World Cup group stage, games for which the outcome does not affect the selection of the qualified teams are played with little enthusiasm. Furthermore, a team that has already qualified may take into account…

Applications · Statistics 2021-02-04 Mario Chater , Luc Arrondel , Jean-Pascal Gayant , Jean-François Laslier

We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity among teams by the variance in the winning fraction from…

Data Analysis, Statistics and Probability · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

In-play football forecasting models have struggled to match the accuracy of betting exchange prices, which aggregate information from many market participants. We close this gap by combining two extensions to a Weibull accelerated failure…

Applications · Statistics 2026-05-18 Lawrence Clegg , Zixing Song , John Cartlidge
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