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The world of competitive Esports and video gaming has seen and continues to experience steady growth in popularity and complexity. Correspondingly, more research on the topic is being published, ranging from social network analyses to the…

Machine Learning · Computer Science 2020-02-18 Alfonso White , Daniela M. Romano

Generalized statistical arbitrage concepts are introduced corresponding to trading strategies which yield positive gains on average in a class of scenarios rather than almost surely. The relevant scenarios or market states are specified via…

Mathematical Finance · Quantitative Finance 2019-07-26 Christian Rein , Ludger Rüschendorf , Thorsten Schmidt

Complex interactions between two opposing agents frequently occur in domains of machine learning, game theory, and other application domains. Quantitatively analyzing the strategies involved can provide an objective basis for…

Machine Learning · Computer Science 2023-07-28 Calvin C. K. Yeung , Keisuke Fujii

Betting games provide a natural setting to capture how information yields strategic advantage. The Kelly criterion for betting, long a cornerstone of portfolio theory and information theory, admits an interpretation in the limit of…

Quantum Physics · Physics 2026-01-15 Maite Arcos , Renato Renner , Jonathan Oppenheim

Recent studies have analyzed whether one forecast method dominates another under a class of consistent scoring functions. While the existing literature focuses on empirical tests of forecast dominance, little is known about the theoretical…

Methodology · Statistics 2019-12-19 Fabian Krüger , Johanna F. Ziegel

Inspired by applications in sports where the skill of players or teams competing against each other varies over time, we propose a probabilistic model of pairwise-comparison outcomes that can capture a wide range of time dynamics. We…

Machine Learning · Statistics 2019-05-20 Lucas Maystre , Victor Kristof , Matthias Grossglauser

We develop a new family of marked point processes by focusing the characteristic properties of marked Hawkes processes exclusively to the space of marks, providing the freedom to specify a different model for the occurrence times. This is…

Applications · Statistics 2022-10-18 Santhosh Narayanan , Ioannis Kosmidis , Petros Dellaportas

Motivated by the goal of evaluating real-time forecasts of home team win probabilities in the National Basketball Association, we develop new tools for measuring the quality of continuously updated probabilistic forecasts. This includes…

Methodology · Statistics 2020-10-05 Chi-Kuang Yeh , Gregory Rice , Joel A. Dubin

Match-fixing undermines the integrity of sport by eroding public trust and threatening the financial sustainability of clubs and leagues. The global expansion of sports betting markets has created new incentives and opportunities for…

General Economics · Economics 2026-05-29 David Winkelmann , Maya Vienken , Christian Deutscher , Roland Langrock

An informal and elementary introduction to probability scoring and forecast verification and improvement, slightly extended from Significance 22:3(2025)16, which might be useful for less mathematical readers as a prologue to the classic…

Other Statistics · Statistics 2025-09-11 Niall MacKay

We study games in which every action requires planning and preparation. Moreover, before players act, they can revise their plans based on partially revealing information that they receive on their adversary's preparations. In turn, we…

General Economics · Economics 2024-08-20 Wolfgang Kuhle

Football (soccer) is a sport that is characterised by complex game play, where players perform a variety of actions, such as passes, shots, tackles, fouls, in order to score goals, and ultimately win matches. Accurately forecasting the…

Machine Learning · Computer Science 2025-11-25 Michael Horton , Patrick Lucey

Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

Statistical Mechanics · Physics 2007-05-23 William Bialek , Naftali Tishby

Transfers in professional football (soccer) are risky investments because of the large transfer fees and high risks involved. Although data-driven models can be used to improve transfer decisions, existing models focus on describing…

Applications · Statistics 2025-09-29 Koen W. van Arem , Floris Goes-Smit , Jakob Söhl

We showcase in this paper the use of some tools from network theory to describe the strategy of football teams. Using passing data made available by FIFA during the 2010 World Cup, we construct for each team a weighted and directed network…

Combinatorics · Mathematics 2013-12-03 Javier López Peña , Hugo Touchette

We introduce Forecasting Argumentation Frameworks (FAFs), a novel argumentation-based methodology for forecasting informed by recent judgmental forecasting research. FAFs comprise update frameworks which empower (human or artificial) agents…

Artificial Intelligence · Computer Science 2022-05-25 Benjamin Irwin , Antonio Rago , Francesca Toni

With an average football (soccer) match recording over 3,000 on-ball events, effective use of this event data is essential for practitioners at football clubs to obtain meaningful insights. Models can extract more information from this…

Applications · Statistics 2025-11-13 Koen W. van Arem , Jakob Söhl , Mirjam Bruinsma , Geurt Jongbloed

We investigate conditions under which test statistics exist that can reliably detect examples, which have been adversarially manipulated in a white-box attack. These statistics can be easily computed and calibrated by randomly corrupting…

Machine Learning · Computer Science 2019-05-10 Kevin Roth , Yannic Kilcher , Thomas Hofmann

Computer Vision developments are enabling significant advances in many fields, including sports. Many applications built on top of Computer Vision technologies, such as tracking data, are nowadays essential for every top-level analyst,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-19 Tiago Mendes-Neves , Luís Meireles , João Mendes-Moreira

An accumulator is a bet that presents a rather unique payout structure, in that it combines multiple bets into a wager that can generate a total payout given by the multiplication of the individual odds of its parts. These potentially…

Artificial Intelligence · Computer Science 2020-04-21 Nassim Dehouche
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