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In soccer (or association football), players quickly go from heroes to zeroes, or vice-versa. Performance is not a static measure but a somewhat volatile one. Analyzing performance as a time series rather than a stationary point in time is…

Machine Learning · Computer Science 2022-09-09 Tiago Mendes-Neves , Luís Meireles , João Mendes-Moreira

This paper introduces a geometric framework for analyzing power relations in games, independent of their strategic form. We define a canonical preference space where each player's relational stance is a normalized vector. This model…

Theoretical Economics · Economics 2025-11-11 Daniele De luca

Fighting Fantasy is a popular recreational fantasy gaming system worldwide. Combat in this system progresses through a stochastic game involving a series of rounds, each of which may be won or lost. Each round, a limited resource (`luck')…

Artificial Intelligence · Computer Science 2020-02-25 Iain G. Johnston

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

Value factorization is a popular paradigm for designing scalable multi-agent reinforcement learning algorithms. However, current factorization methods make choices without full justification that may limit their performance. For example,…

Artificial Intelligence · Computer Science 2024-09-11 Enrico Marchesini , Andrea Baisero , Rupali Bhati , Christopher Amato

Contextual Bandit (CB) algorithms are widely adopted for personalized recommendations but often struggle in dynamic environments typical of fantasy sports, where rapid changes in user behavior and dramatic shifts in reward distributions due…

Machine Learning · Computer Science 2026-01-22 Anupam Agrawal , Rajesh Mohanty , Shamik Bhattacharjee , Abhimanyu Mittal

This paper develops metrics from a social network perspective that are directly translatable to the outcome of a basketball game. We extend a state-of-the-art multi-resolution stochastic process approach to modeling basketball by modeling…

Applications · Statistics 2019-10-01 Fan Bu , Sonia Xu , Katherine Heller , Alexander Volfovsky

In the last years decision-focused learning framework, also known as predict-and-optimize, have received increasing attention. In this setting, the predictions of a machine learning model are used as estimated cost coefficients in the…

Machine Learning · Computer Science 2022-06-20 Jayanta Mandi , Víctor Bucarey , Maxime Mulamba , Tias Guns

When facing a heavily-favored opponent, an underdog must be willing to assume greater-than-average risk. In statistical language, one would say that an underdog must be willing to adopt a strategy whose outcome has a larger-than-average…

Physics and Society · Physics 2011-11-04 Brian Skinner

Problem definition: Professional sports leagues may be suspended due to various reasons such as the recent COVID-19 pandemic. A critical question the league must address when re-opening is how to appropriately select a subset of the…

Optimization and Control · Mathematics 2024-04-02 Ali Hassanzadeh , Mojtaba Hosseini , John G. Turner

Human computation games (HCGs) are a crowdsourcing approach to solving computationally-intractable tasks using games. In this paper, we describe the need for generalizable HCG design knowledge that accommodates the needs of both players and…

Human-Computer Interaction · Computer Science 2017-06-13 Kristin Siu , Alexander Zook , Mark O. Riedl

In team-based invasion sports such as soccer and basketball, analytics is important for teams to understand their performance and for audiences to understand matches better. The present work focuses on performing visual analytics to…

Artificial Intelligence · Computer Science 2019-07-03 Kun Zhao , Takayuki Osogami , Tetsuro Morimura

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2014-12-10 Joseph Y. Halpern , Rafael Pass

Quantile is a popular performance measure for a stochastic system to evaluate its variability and risk. To reduce the risk, selecting the actions that minimize the tail quantiles of some loss distributions is typically of interest for…

Optimization and Control · Mathematics 2019-01-18 Songhao Wang , Szu Hui Ng , William Benjamin Haskell

The availability of massive data about sports activities offers nowadays the opportunity to quantify the relation between performance and success. In this study, we analyze more than 6,000 games and 10 million events in six European leagues…

Applications · Statistics 2017-11-17 Luca Pappalardo , Paolo Cintia

It is often said that a sign of a great player is that he makes the players around him better. The player may or may not score much himself, but his teammates perform better when he plays. One way a hockey player can improve his or her…

Applications · Statistics 2013-07-25 Brian Macdonald , Christopher Weld , David C. Arney

We report on new stability conditions for evolutionary dynamics in the context of population games. We adhere to the prevailing framework consisting of many agents, grouped into populations, that interact noncooperatively by selecting…

Populations and Evolution · Quantitative Biology 2021-07-08 Semih Kara , Nuno C. Martins

Shooting location is a core indicator of offensive style in invasion sports. Existing basketball shot-chart analyses often use spatial information for descriptive visualization, location-based efficiency modeling, or clustering players into…

Methodology · Statistics 2026-03-26 Kazuhiro Yamada , Keisuke Fujii

Dynamically planning in complex systems has been explored to improve decision-making in various domains. Professional basketball serves as a compelling example of a dynamic spatio-temporal game, encompassing context-dependent…

Artificial Intelligence · Computer Science 2024-07-18 Xiusi Chen , Wei-Yao Wang , Ziniu Hu , David Reynoso , Kun Jin , Mingyan Liu , P. Jeffrey Brantingham , Wei Wang