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Basketball analytics has significantly advanced our understanding of the game, with shot selection emerging as a critical factor in both individual and team performance. With the advent of player tracking technologies, a wealth of granular…

Applications · Statistics 2025-03-12 Jiahao Cao , Hou-Cheng Yang , Guanyu Hu

"The chance to win given a certain move" is an easily obtainable quantity from data and often quoted in gaming statistics. It is also the fundamental quantity that reinforcement learning AI bases on. Unfortunately, this conditional…

Physics and Society · Physics 2018-03-16 I-Sheng Yang

We introduce a simple stochastic dynamics for game theory. It assumes ``local'' rationality in the sense that any player climbs the gradient of his utility function in the presence of a stochastic force which represents deviation from…

Statistical Mechanics · Physics 2008-11-23 Matteo Marsili , Yi-Cheng Zhang

This paper examines whether increased awareness can affect racial bias and colorism. We exploit a natural experiment arising from the widespread publicity of Price and Wolfers (2010), which served as an external shock, intensifying scrutiny…

General Economics · Economics 2026-01-15 Kenneth Colombe , Alex Krumer , Rosa Lavelle-Hill , Tim Pawlowski

We investigate the probability of scoring a point when playing the basketball shooting game called "Horse". We show that under the Traditional Rules, it is optimal to choose very easy shots. We propose alternative rules called Pops Rules,…

Probability · Mathematics 2022-01-19 Daniel Rosenthal , Jeffrey S. Rosenthal

Many enthusiasts and experts publish forecasts of the order players are drafted into professional sports leagues, known as mock drafts. Using a novel dataset of mock drafts for the National Basketball Association (NBA), we analyze authors'…

Applications · Statistics 2024-08-28 Jared D. Fisher , Colin Montague

We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply this model to sports leagues and sports tournaments, and…

Physics and Society · Physics 2013-04-02 E. Ben-Naim , N. W. Hengartner , S. Redner , F. Vazquez

We theoretically study the effect of a third person enforcement on a one-shot prisoner's dilemma game played by two persons, with whom the third person plays repeated prisoner's dilemma games. We find that the possibility of the third…

Theoretical Economics · Economics 2019-08-15 Tatsuhiro Shichijo

Successful design of human-in-the-loop control systems requires appropriate models for human decision makers. Whilst most paradigms adopted in the control systems literature hide the (limited) decision capability of humans, in behavioral…

Optimization and Control · Mathematics 2020-08-03 Marius Protte , Rene Fahr , Daniel E. Quevedo

Change of direction is a key element of player movement in American football, yet there remains a lack of objective approaches for in-game performance evaluation of this athletic trait. Using tracking data, we propose a Bayesian…

Applications · Statistics 2025-07-09 Quang Nguyen , Ronald Yurko

We use a simple machine learning model, logistically-weighted regularized linear least squares regression, in order to predict baseball, basketball, football, and hockey games. We do so using only the thirty-year record of which visiting…

Applications · Statistics 2017-05-16 Alexander Dubbs

We have developed a sophisticated statistical model for predicting the hitting performance of Major League baseball players. The Bayesian paradigm provides a principled method for balancing past performance with crucial covariates, such as…

Applications · Statistics 2021-07-21 Shane T. Jensen , Blake McShane , Abraham J. Wyner

We investigate the impact of the COVID-19 pandemic on the betting markets of professional and college sports. We find that during the pandemic, the moneyline betting markets of the National Basketball Association (NBA) became very…

Physics and Society · Physics 2021-09-17 Khizar Qureshi , Tauhid Zaman

This study investigates the concept of flexibility within League of Legends, a popular online multiplayer game, focusing on the relationship between user adaptability and team success. Utilizing a dataset encompassing players of varying…

Human-Computer Interaction · Computer Science 2026-03-18 Emily Chen , Alexander Bisberg , Emilio Ferrara

Accuracy of throwing in games and sports is governed by how errors at projectile release are propagated by flight dynamics. To address the question of what governs the choice of throwing strategy, we use a simple model of throwing with an…

Biological Physics · Physics 2017-06-01 Madhusudhan Venkadesan , L. Mahadevan

It is well known that athletic and physical condition is affected by age. Plotting an individual athlete's performance against age creates a graph commonly called the player's aging curve. Despite the obvious interest to coaches and…

Applications · Statistics 2014-04-02 Alexander Wakim , Jimmy Jin

We investigate how similar heatmaps of soccer players are when constructed from (i) event datasets and (ii) tracking datasets. When using event datasets, we show that the scale at which the events are grouped strongly influences the…

Physics and Society · Physics 2022-11-23 D. Garrido , B. Burriel , R. Resta , R. Lopez del Campo , J. M. Buldu

The number of active shooter incidents in the US has been increasing alarmingly. It is imperative for the government as well as the public to understand these events. Though both analytic and agent-based models have been proposed for…

Applications · Statistics 2025-02-18 Liang Hong

The purpose of this research is to create a machine learning-based smart coaching approach for football that can replace manual analysis with real-time feedback for trainers. In-depth analysis of football player data by humans is…

Signal Processing · Electrical Eng. & Systems 2023-02-08 Rahman Sahinler , Omer Burak Goktas , Berkay Mumcu , Damla Sen , Feyza Kocaturk , Huseyin Uvet

Box score statistics are the baseline measures of performance for National Collegiate Athletic Association (NCAA) basketball. Between the 2011-2012 and 2015-2016 seasons, NCAA teams performed better at home compared to on the road in nearly…

Applications · Statistics 2021-05-11 Matthew van Bommel , Luke Bornn , Peter Chow-White , Chuancong Gao