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Related papers: Parity and Predictability of Competitions

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The authors propose a parametric model called the arena model for prediction in paired competitions, i.e. paired comparisons with eliminations and bifurcations. The arena model has a number of appealing advantages. First, it predicts the…

Machine Learning · Computer Science 2018-11-28 Chenhe Zhang , Peiyuan Sun

There seems to be an upper limit to predicting the outcome of matches in (semi-)professional sports. Recent work has proposed that this is due to chance and attempts have been made to simulate the distribution of win percentages to identify…

Applications · Statistics 2015-08-21 Albrecht Zimmermann

Any collection can be ranked. Sports and games are common examples of ranked systems: players and teams are constantly ranked using different methods. The statistical properties of rankings have been studied for almost a century in a…

Social and Information Networks · Computer Science 2026-02-04 José Antonio Morales , Jorge Flores , Carlos Gershenson , Carlos Pineda

Estimating win probability is one of the classic modeling tasks of sports analytics. Many widely used win probability estimators use machine learning to fit the relationship between a binary win/loss outcome variable and certain game-state…

Methodology · Statistics 2025-08-21 Ryan S. Brill , Ronald Yurko , Abraham J. Wyner

We analyse a mathematical model of seeding for sports contests with round-robin qualifying tournaments. The standard seeding system based on coefficients measuring the historical performance of the teams is shown to be unfair as it might…

Physics and Society · Physics 2023-07-14 László Csató

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

Can one understand the statistics of wins and losses of baseball teams? Are their consecutive-game winning and losing streaks self-reinforcing or can they be described statistically? We apply the Bradley-Terry model, which incorporates the…

Physics and Society · Physics 2014-07-25 C. Sire , S. Redner

In this paper we present a novel approach to optimise tactical and strategic decision making in football (soccer). We model the game of football as a multi-stage game which is made up from a Bayesian game to model the pre-match decisions…

Artificial Intelligence · Computer Science 2020-03-24 Ryan Beal , Georgios Chalkiadakis , Timothy J. Norman , Sarvapali D. Ramchurn

Despite growing interest in quantifying and modeling the scoring dynamics within professional sports games, relative little is known about what patterns or principles, if any, cut across different sports. Using a comprehensive data set of…

Applications · Statistics 2014-03-24 Sears Merritt , Aaron Clauset

This paper employs a Bayesian methodology to predict the results of soccer matches in real-time. Using sequential data of various events throughout the match, we utilize a multinomial probit regression in a novel framework to estimate the…

Applications · Statistics 2024-10-17 Chinmay Divekar , Soudeep Deb , Rishideep Roy

In this paper, we present betting strategy of a football game using probability theory. We know all betting houses offer slightly unfair odds towards the player. Here we discuss a simple way to figure out which betting house is offering…

Applications · Statistics 2017-06-07 Kanika Saha , Ananya Lahiri

Ranking is used in sport leagues to determine a champion and/or to decide on promotion/relegation of teams. Arguably, the best known ranking method relies on scores obtained by cumulating the points associated with the wins and the draws of…

Physics and Society · Physics 2023-03-28 Leszek Szczecinski

While PageRank has been extensively used to rank sport tournament participants (teams or individuals), its superiority over simpler ranking methods has been never clearly demonstrated. We use sports results from 18 major leagues to…

Social and Information Networks · Computer Science 2020-12-14 Yuhao Zhou , Ruijie Wang , Yi-Cheng Zhang , An Zeng , Matúš Medo

The main objective of this paper is to investigate the extent to which the margin of victory can be predicted solely by the rankings of the opposing teams in NCAA Division I men's basketball games. Several past studies have modeled this…

Applications · Statistics 2018-03-14 David Beaudoin , Thierry Duchesne

League competition is investigated using random processes and scaling techniques. In our model, a weak team can upset a strong team with a fixed probability. Teams play an equal number of head-to-head matches and the team with the largest…

Physics and Society · Physics 2007-08-13 E. Ben-Naim , N. W. Hengartner

Elite football is believed to have evolved in recent years, yet systematic evidence for the pace and form of that change remains sparse. Drawing on event-level records for 13,018 matches across ten top-tier men's and women's leagues in…

In Major League Baseball, strategy and planning are major factors in determining the outcome of a game. Previous studies have aided this by building machine learning models for predicting the winning team of any given game. We extend this…

Machine Learning · Computer Science 2025-11-05 Morgan Allen , Paul Savala

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

Soccer attracts the attention of many researchers and professionals in the sports industry. Therefore, the incorporation of science into the sport is constantly growing, with increasing investments in performance analysis and sports…

Social and Information Networks · Computer Science 2024-09-23 Eduardo Alves Baratela , Felipe Jordão Xavier , Thomas Peron , Paulino Ribeiro Villas-Boas , Francisco Aparecido Rodrigues

We study the relationship between social media output and National Football League (NFL) games, using a dataset containing messages from Twitter and NFL game statistics. Specifically, we consider tweets pertaining to specific teams and…

Social and Information Networks · Computer Science 2013-10-28 Shiladitya Sinha , Chris Dyer , Kevin Gimpel , Noah A. Smith