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Increased data availability has stimulated the interest in studying sports prediction problems via analytical approaches; in particular, with machine learning and simulation. We characterize several models that have been proposed in the…

Other Statistics · Statistics 2023-07-11 Ignacio Erazo

When the performance of a team of agents exceeds our expectations or fall short of them, we often explain this by saying that there was some synergy in the team---either positive (the team exceeded our expectations) or negative (they fell…

Computer Science and Game Theory · Computer Science 2014-04-14 Talal Rahwan , Tomasz Michalak , Michael Wooldridge

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

Quantum resources may provide advantage over their classical counterparts. Theoretically, in certain tasks, this advantage can be very high. In this work, we construct such a task based on a game, mediated by Referee and played between…

Quantum Physics · Physics 2024-05-16 Saronath Halder , Alexander Streltsov , Manik Banik

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

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…

Physics and Society · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

The baseball game is often seen as many contests that are performed between individuals. The duel between the pitcher and the batter, for example, is considered the engine that drives the sport. The pitchers use a variety of strategies to…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Nina Wiedemann , Carlos Dietrich , Claudio T. Silva

Sports organizations often want to estimate athlete strengths. For games with scored outcomes, a common approach is to assume observed game scores follow a normal distribution conditional on athletes' latent abilities, which may change over…

Methodology · Statistics 2023-07-18 Jonathan Che , Mark Glickman

Cricket, especially the Twenty20 format, has maximum uncertainty, where a single over can completely change the momentum of the game. With millions of people following the Indian Premier League (IPL), developing a model for predicting the…

Applications · Statistics 2020-09-22 Rabindra Lamsal , Ayesha Choudhary

We show that, in John Conway's board game Phutball (or Philosopher's Football), it is NP-complete to determine whether the current player has a move that immediately wins the game. In contrast, the similar problems of determining whether…

Computational Complexity · Computer Science 2007-05-23 Erik D. Demaine , Martin L. Demaine , David Eppstein

Deciding whether a model provides a good description of data is often based on a goodness-of-fit criterion summarized by a p-value. Although there is considerable confusion concerning the meaning of p-values, leading to their misuse, they…

Data Analysis, Statistics and Probability · Physics 2013-05-29 Frederik Beaujean , Allen Caldwell , Daniel Kollar , Kevin Kroeninger

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 speed-accuracy tradeoffs are prevalent in a wide range of physical systems. In this paper, we demonstrate speed-accuracy tradeoffs in the game of cricket, where 'batters' score runs on the balls bowled by the 'bowlers'. It is shown that…

Physics and Society · Physics 2025-12-17 Mohd Suhail Rizvi

Numerous statistics have been proposed for the measure of offensive ability in major league baseball. While some of these measures may offer moderate predictive power in certain situations, it is unclear which simple offensive metrics are…

Applications · Statistics 2021-07-21 Blakeley B. McShane , Alexander Braunstein , James Piette , Shane T. Jensen

Predicting the outcomes of future events is a challenging problem for which a variety of solution methods have been explored and attempted. We present an empirical comparison of a variety of online and offline adaptive algorithms for…

Artificial Intelligence · Computer Science 2012-07-02 Varsha Dani , Omid Madani , David M Pennock , Sumit Sanghai , Brian Galebach

The objective of the present study is to present a computational model of the motion of a single athlete in a team and to compare the resulting trajectory with experimental data obtained in the field during competitions by match analysis…

Biological Physics · Physics 2008-11-25 E. Grimpampi , A. Pasculli , A. Sacripanti

Ranking is a ubiquitous phenomenon in the human society. By clicking the web pages of Forbes, you may find all kinds of rankings, such as world's most powerful people, world's richest people, top-paid tennis stars, and so on and so forth.…

Data Analysis, Statistics and Probability · Physics 2015-06-03 Weibing Deng , Wei Li , Xu Cai , Alain Bulou , Qiuping A. Wang

In this article we revise the football's performance score called PlayeRank, designed and evaluated by Pappalardo et al.\ in 2019. First, we analyze the weights extracted from the Linear Support Vector Machine (SVM) that solves the…

Machine Learning · Computer Science 2024-10-29 Louise Schmidt , Cristian Lillo , Javier Bustos

The following game in a similar formulation to Petri nets and chip-firing games is studied: Given a finite collection of baskets, each has an infinite number of balls of the same value. Initially, a ball from some basket is chosen to put on…

Combinatorics · Mathematics 2022-10-25 Vuong Bui