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We consider any network environment in which the "best shot game" is played. This is the case where the possible actions are only two for every node (0 and 1), and the best response for a node is 1 if and only if all her neighbors play 0. A…

Physics and Society · Physics 2010-02-19 L. Dall'Asta , P. Pin , A. Ramezanpour

Although the data-driven analysis of football players' performance has been developed for years, most research only focuses on the on-ball event including shots and passes, while the off-ball movement remains a little-explored area in this…

Machine Learning · Computer Science 2023-09-06 Yisheng Pei , Varuna De Silva , Mike Caine

We compare conversion rates of association football (soccer) penalties during regulation or extra time with those during shootouts. Our data consists of roughly 50,000 penalties from the eleven~most recent seasons in European men's football…

Applications · Statistics 2024-12-17 Silvan Vollmer , David Schoch , Ulrik Brandes

In this paper, we present a new model for ranking sports teams. Our model uses all scoring data from all games to produce a functional rating by the method of least squares. The functional rating can be interpreted as a teams average point…

Applications · Statistics 2019-08-05 Bradley Lowery , Abigail Slater , Kaison Thies

The prevailing belief propagated by NBA league observers is that the workload of the NBA season dramatically influences a player's performance$^{1,2,3,4,5}$. We offer an analysis of cross game player fatigue that calls into question the…

Applications · Statistics 2021-12-30 Austin Stephen , Matthew Yep , Grace Fain

We consider a sequential decision-making problem where an agent can take one action at a time and each action has a stochastic temporal extent, i.e., a new action cannot be taken until the previous one is finished. Upon completion, the…

Machine Learning · Computer Science 2020-03-26 P Sharoff , Nishant A. Mehta , Ravi Ganti

The combination of the Bayesian game and learning has a rich history, with the idea of controlling a single agent in a system composed of multiple agents with unknown behaviors given a set of types, each specifying a possible behavior for…

Machine Learning · Computer Science 2024-11-21 Tongxin Li , Tinashe Handina , Shaolei Ren , Adam Wierman

As a baseball game progresses, batters appear to perform better the more times they face a particular pitcher. The apparent drop-off in pitcher performance from one time through the order to the next, known as the Time Through the Order…

Applications · Statistics 2023-09-21 Ryan S. Brill , Sameer K. Deshpande , Abraham J. Wyner

Although basketball is a dualistic sport, with all players competing on both offense and defense, almost all of the sport's conventional metrics are designed to summarize offensive play. As a result, player valuations are largely based on…

Applications · Statistics 2015-05-29 Alexander Franks , Andrew Miller , Luke Bornn , Kirk Goldsberry

Passing during power plays in hockey is a crucial component to move one's team closer to scoring a goal. With the use of women's ice hockey event and tracking data from the elimination round games during the 2022 Winter Olympics, we…

Applications · Statistics 2022-06-02 Robyn Ritchie , Alon Harell , Phil Shreeves

A longstanding question in the judgment and decision making literature is whether experts, even in high-stakes environments, exhibit the same cognitive biases observed in controlled experiments with inexperienced participants. Massey and…

Applications · Statistics 2025-04-25 Ryan S. Brill , Abraham J. Wyner

We introduce a compact probabilistic model for two-player and two-team (four-player) squash matches, along with a practical skill-comparison rule derived from point-scoring probabilities. Using recorded shot types and court locations, we…

Applications · Statistics 2025-12-03 Prathamesh Anwekar , Kaushal Kirpekar , Mahesh B , Sainath Bitragunta

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

Multiagent Systems · Computer Science 2024-09-17 Shinkyu Park

In sports betting it is easier to predict the winner of a game match than the team that covers the bet. Since, a winner team might not cover a bet. This study focuses on the relation of the variable win to the betting variable cover the…

Applications · Statistics 2019-02-27 Luis A. Mateos

Expected points is a value function fundamental to player evaluation and strategic in-game decision-making across sports analytics, particularly in American football. To estimate expected points, football analysts use machine learning…

Applications · Statistics 2024-09-10 Ryan S. Brill , Ryan Yee , Sameer K. Deshpande , Abraham J. Wyner

In many situations, the decision maker observes items in sequence and needs to determine whether or not to retain a particular item immediately after it is observed. Any decision rule creates a set of items that are selected. We consider…

Probability · Mathematics 2007-05-23 Abba M. Krieger , Moshe Pollak , Ester Samuel-Cahn

This paper uses category theory to develop an entirely new approach to approximate game theory. Game theory is the study of how different agents within a multi-agent system take decisions. At its core, game theory asks what an optimal…

Computer Science and Game Theory · Computer Science 2025-09-26 Neil Ghani

Evaluating predictive models is a crucial task in predictive analytics. This process is especially challenging with time series data where the observations show temporal dependencies. Several studies have analysed how different performance…

Machine Learning · Statistics 2022-02-14 Vitor Cerqueira , Luis Torgo , Carlos Soares

We propose a shared task on training instance selection for few-shot neural text generation. Large-scale pretrained language models have led to dramatic improvements in few-shot text generation. Nonetheless, almost all previous work simply…

Computation and Language · Computer Science 2021-08-21 Ernie Chang , Xiaoyu Shen , Alex Marin , Vera Demberg

The sequence of moves in a dynamic team tournament may distort the ex-ante winning probabilities and harm efficiency. This paper compares seven soccer penalty shootout rules that determine the kicking order, from a theoretical perspective.…

Computer Science and Game Theory · Computer Science 2023-02-24 László Csató , Dóra Gréta Petróczy