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Individual sports competitions provide a natural setting for examining the relative importance of talent and luck/chance in achieving success. The belief that success is primarily due to individual abilities and hard work rather than…

Physics and Society · Physics 2023-11-14 Chiara Zappalá , Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

In team sports, traditional ranking statistics do not allow for the simultaneous evaluation of both individuals and combinations of players. Metrics for individual player rankings often fail to include the interaction effects between groups…

Methodology · Statistics 2025-05-09 Nathaniel Josephs , Elizabeth Upton

A new formalism for analyzing the progression of cricket game using Stochastic differential equation (SDE) is introduced. This theory enables a quantitative way of representing every team using three key variables which have physical…

Physics and Society · Physics 2019-08-21 Santosh Kumar Radha

The score sequence of a tournament is the sequence of the out-degrees of its vertices arranged in nondecreasing order. The problem of counting score sequences of a tournament with $n$ vertices is more than 100 years old (MacMahon 1920). In…

Combinatorics · Mathematics 2023-01-18 Anders Claesson , Mark Dukes , Atli Fannar Franklín , Sigurður Örn Stefánsson

We introduce the prediction value (PV) as a measure of players' informational importance in probabilistic TU games. The latter combine a standard TU game and a probability distribution over the set of coalitions. Player $i$'s prediction…

Computer Science and Game Theory · Computer Science 2017-07-10 Maurice Koster , Sascha Kurz , Ines Lindner , Stefan Napel

We propose a Statistically Enhanced Learning (aka. SEL) model to predict handball games. Our Machine Learning model augmented with SEL features outperforms state-of-the-art models with an accuracy beyond 80%. In this work, we show how we…

Machine Learning · Computer Science 2023-07-25 Florian Felice , Christophe Ley

Indian Premier League (IPL) is a tournament of twenty over cricket matches. Teams of this tournament are selected via an auction from a pool of players. Each team employs a think-tank to build the best possible team. Few studies have been…

Social and Information Networks · Computer Science 2019-08-06 Saptarshi Banerjee , Arnabi Mitra , Debayan Ganguly , Ritajit Majumdar , Kingshuk Chatterjee

Esports has emerged as a popular genre for players as well as spectators, supporting a global entertainment industry. Esports analytics has evolved to address the requirement for data-driven feedback, and is focused on cyber-athlete…

Artificial Intelligence · Computer Science 2017-11-20 Victoria Hodge , Sam Devlin , Nick Sephton , Florian Block , Anders Drachen , Peter Cowling

Forecasting sporting events encapsulate a compelling intellectual endeavor, underscored by the substantial financial activity of an estimated $80 billion wagered in global sports betting during 2022, a trend that grows yearly. Motivated by…

The organisers of major sports competitions use different policies with respect to constraints in the group draw. Our paper aims to rationalise these choices by analysing the trade-off between attractiveness (the number of games played by…

Optimization and Control · Mathematics 2026-04-23 László Csató

In the field of numerical weather prediction (NWP), the probabilistic distribution of the future state of the atmosphere is sampled with Monte-Carlo-like simulations, called ensembles. These ensembles have deficiencies (such as conditional…

Applications · Statistics 2020-05-08 Michaël Zamo , Liliane Bel , Olivier Mestre

Poker is ideal for testing automated reasoning under uncertainty. It introduces uncertainty both by physical randomization and by incomplete information about opponents hands.Another source OF uncertainty IS the limited information…

Artificial Intelligence · Computer Science 2013-01-30 Kevin B. Korb , Ann Nicholson , Nathalie Jitnah

Basic propensity score methodology is designed to balance multivariate pre-treatment covariates when comparing one active treatment with one control treatment. Practical settings often involve comparing more than two treatments, where more…

Methodology · Statistics 2021-11-09 Shasha Han , Donald Rubin

We introduce a new measure for fair and meaningful comparisons of single-valued output from artificial intelligence based weather prediction (AIWP) and numerical weather prediction (NWP) models, called potential continuous ranked…

We discuss individual components of the college football Bowl Championship Series, compare with a simple algorithm defined by random walks on a biased graph, attempt to predict whether the proposed changes will truly lead to increased BCS…

Popular Physics · Physics 2007-05-23 Thomas Callaghan , Peter J. Mucha , Mason A. Porter

Round robin tournaments are omnipresent in sport competitions and beyond. We propose two new integer programming formulations for scheduling a round robin tournament, one of which we call the matching formulation. We analytically compare…

Optimization and Control · Mathematics 2022-10-18 Jasper van Doornmalen , Christopher Hojny , Roel Lambers , Frits C. R. Spieksma

We consider the manipulability of tournament rules for round-robin tournaments of $n$ competitors. Specifically, $n$ competitors are competing for a prize, and a tournament rule $r$ maps the result of all $\binom{n}{2}$ pairwise matches…

Computer Science and Game Theory · Computer Science 2016-06-01 Jon Schneider , Ariel Schvartzman , S. Matthew Weinberg

Ranking athletes by their performance in competitions and tournaments is common in every popular sport and has significant benefits that contribute to both the organization and strategic aspects of competitions. Although rankings are…

Physics and Society · Physics 2025-08-28 Bogdán Asztalos , Boldizsár Balázs , Gergely Palla , Tamás Vicsek

Tennis is one of the world's biggest and most popular sports. Multiple researchers have, with limited success, modeled the outcome of matches using probability modelling or machine learning approaches. The approach presented here predicts…

Applications · Statistics 2025-06-09 Martin Illum , Hans Christian Bechsøfft Mikkelsen , Emil Hovad

The question of aggregating pair-wise comparisons to obtain a global ranking over a collection of objects has been of interest for a very long time: be it ranking of online gamers (e.g. MSR's TrueSkill system) and chess players, aggregating…

Machine Learning · Computer Science 2015-11-13 Sahand Negahban , Sewoong Oh , Devavrat Shah