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Predicting the results of sport matches and competitions is an arising research field, benefiting from the growing amount of available data and the novel data analytics techniques. Excellent forecasts can be achieved by advanced machine…

Applications · Statistics 2015-11-20 Giuseppe Jurman

We revisit the game in which each of several players chooses a pattern and then a coin is flipped repeatedly until one of these patterns is generated. In particular, we demonstrate how to compute the probability of any one player winning…

Probability · Mathematics 2015-07-07 Jan Vrbik , Paul Vrbik

The success of a football team depends on various individual skills and performances of the selected players as well as how cohesively they perform. We propose a two-stage process for selecting optimal playing eleven of a football team from…

Applications · Statistics 2023-04-14 Soudeep Deb , Shubhabrata Das

Probabilistic concurrent/distributed strategies have so far not been investigated thoroughly in the context of imperfect information, where the Player has only partial knowledge of the moves made by the Opponent. In a situation where the…

Computer Science and Game Theory · Computer Science 2024-02-08 Sacha Huriot-Tattegrain , Glynn Winskel

Combinatorial Game Theory is a branch of mathematics and theoretical computer science that studies sequential 2-player games with perfect information. Normal play is the convention where a player who cannot move loses. Here, we generalize…

Computer Science and Game Theory · Computer Science 2023-10-31 Prem Kant , Urban Larsson , Ravi K. Rai , Akshay V. Upasany

We study the game of go from a complex network perspective. We construct a directed network using a suitable definition of tactical moves including local patterns, and study this network for different datasets of professional tournaments…

Computer Science and Game Theory · Computer Science 2012-04-20 Bertrand Georgeot , Olivier Giraud

We study the two-player safe game of Competitive Diffusion, a game-theoretic model for the diffusion of technologies or influence through a social network. In game theory, safe strategies are mixed strategies with a minimal expected gain…

Discrete Mathematics · Computer Science 2015-07-10 Jeannette Janssen , Celeste Vautour

Decision theories offer principled methods for making choices under various types of uncertainty. Algorithms that implement these theories have been successfully applied to a wide range of real-world problems, including materials and drug…

Machine Learning · Computer Science 2026-05-26 Agustinus Kristiadi

A risk-neutral valuation framework is developed for pricing and hedging in-play football bets based on modelling scores by independent Poisson processes with constant intensities. The Fundamental Theorems of Asset Pricing are applied to…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Sebastian del Bano Rollin , Zsolt Bihari , Tomaso Aste

The football transfer market is a complex, dynamic environment in which clubs compete to acquire players who strengthen their squads. While several frameworks estimate a player's worth, a comprehensive approach that captures both squad…

Applications · Statistics 2026-05-15 Tathagata Basu , Soudeep Deb , Rishideep Roy

Fantasy football leagues involve strategic player trades to optimize team performance. However, identifying optimal trades is complex due to varying player projections, positional needs, and league-specific scoring. Existing approaches…

Neural and Evolutionary Computing · Computer Science 2025-11-25 Evan Parshall , Junaid Ali , Michael Zimmerman

The probability of a given candidate winning a future election is worked out in closed form as a function of (i) the current support rates for each candidate, (ii) the relative positioning of the candidates within the political spectrum,…

Probability · Mathematics 2025-04-25 Dorje C. Brody , Tomooki Yuasa

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

Mathematical Finance · Quantitative Finance 2022-10-26 Alex S. L. Tse , Harry Zheng

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

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

Scoring goals in a soccer match can be interpreted as a stochastic process. In the most simple description of a soccer match one assumes that scoring goals can be described by a constant goal rate for each team, implying simple Poissonian…

Data Analysis, Statistics and Probability · Physics 2012-07-19 Andreas Heuer , Oliver Rubner

We propose a betting strategy based on Bayesian logistic regression modeling for the probability forecasting game in the framework of game-theoretic probability by Shafer and Vovk (2001). We prove some results concerning the strong law of…

Probability · Mathematics 2013-02-13 Masayuki Kumon , Jing Li , Akimichi Takemura , Kei Takeuchi

This article is a prologue to the article "Why Markets are Inefficient: A Gambling 'Theory' of Financial Markets for Practitioners and Theorists." It presents important background for that article --- why gambling is important, even…

Econometrics · Economics 2018-01-10 Steven D. Moffitt

The field of Game Theory provides a useful mechanism for modeling many decision-making scenarios. In participating in these scenarios individuals and groups adopt particular strategies, which generally perform with varying levels of…

Multiagent Systems · Computer Science 2018-07-24 Francis Lawlor , Rem Collier , Vivek Nallur

In simple card games, cards are dealt one at a time and the player guesses each card sequentially. We study problems where feedback (e.g. correct/incorrect) is given after each guess. For decks with repeated values (as in blackjack where…

Probability · Mathematics 2021-07-20 Persi Diaconis , Ron Graham , Sam Spiro