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Rapid individual cognitive phenotyping holds the potential to revolutionize domains as wide-ranging as personalized learning, employment practices, and precision psychiatry. Going beyond limitations imposed by traditional lab-based…

An increasing number of domains are providing us with detailed trace data on human decisions in settings where we can evaluate the quality of these decisions via an algorithm. Motivated by this development, an emerging line of work has…

Artificial Intelligence · Computer Science 2016-06-17 Ashton Anderson , Jon Kleinberg , Sendhil Mullainathan

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

Large language models (LLMs) have demonstrated strong performance across a variety of domains, including logical reasoning, mathematics, and more. In this paper, we investigate how well LLMs understand and reason about complex rule…

Computation and Language · Computer Science 2025-08-28 Bahar Bateni , Benjamin Pratt , Jim Whitehead

Strategic classification, i.e. classification under possible strategic manipulations of features, has received a lot of attention from both the machine learning and the game theory community. Most works focus on analysing properties of the…

Machine Learning · Computer Science 2022-03-28 Tosca Lechner , Ruth Urner

Large reasoning models (LRMs) have demonstrated impressive reasoning capabilities across a broad range of tasks including Olympiad-level mathematical problems, indicating evidence of their complex reasoning abilities. While many reasoning…

Computation and Language · Computer Science 2025-06-13 Prakamya Mishra , Jiang Liu , Jialian Wu , Xiaodong Yu , Zicheng Liu , Emad Barsoum

A good prediction is very important for scientific, economic, and administrative purposes. It is therefore necessary to know whether a predictor is skillful enough to predict the future. Given the increased reliance on predictions in…

General Economics · Economics 2022-09-13 Thitithep Sitthiyot , Kanyarat Holasut

The study of cultural evolution benefits from detailed analysis of cultural transmission in specific human domains. Chess provides a platform for understanding the transmission of knowledge due to its active community of players, precise…

Physics and Society · Physics 2026-05-22 Egor Lappo , Noah A. Rosenberg , Marcus W. Feldman

This paper presents a novel approach to analyze human decision-making that involves comparing the behavior of professional chess players relative to a computational benchmark of cognitively bounded rationality. This benchmark is constructed…

General Economics · Economics 2020-12-03 Dainis Zegners , Uwe Sunde , Anthony Strittmatter

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

We give elementary examples within a framework for studying decisions under uncertainty where probabilities are only roughly known. The framework, in gambling terms, is that the size of a bet is proportional to the gambler's perceived…

Probability · Mathematics 2023-12-19 David J. Aldous , F. Thomas Bruss

A hockey player's plus-minus measures the difference between goals scored by and against that player's team while the player was on the ice. This measures only a marginal effect, failing to account for the influence of the others he is…

Applications · Statistics 2016-01-27 Robert B. Gramacy , Matt Taddy , Sen Tian

This article explores the value and measurable effects of hard and soft skills in academia when teaching and developing abilities for the game industry. As we discuss, each individuals engagement with the subject directly impacts their…

Graphics · Computer Science 2022-05-18 Benjamin Kenwright

Dice control involves "setting" the dice and then throwing them carefully, in the hope of influencing the outcomes and gaining an advantage at craps. How does one test for this ability? To specify the alternative hypothesis, we need a…

Methodology · Statistics 2025-12-17 Stewart N. Ethier

The presence or absence of winner-loser effects is a widely discussed phenomenon across both sports and psychology research. Investigation of such effects is often hampered by the limited availability of data. Online chess has exploded in…

Applications · Statistics 2025-08-12 Adam Gee , Sydney O. Seese , James P. Curley , Owen G. Ward

Coalitional voting games appear in different forms in multi-agent systems, social choice and threshold logic. In this paper, the complexity of comparison of influence between players in coalitional voting games is characterized. The…

Computer Science and Game Theory · Computer Science 2008-09-04 Haris Aziz

Within the framework of Game Theory, contests study decision-making in those situations or conflicts when rewards depend on the relative rank between contenders rather than their absolute performance. By relying on the formalism of Tullock…

Physics and Society · Physics 2023-04-03 A. de Miguel-Arribas , J. Morón-Vidal , L. M. Floría , C. Gracia-Lázaro , L. Hernández , Y. Moreno

This work tackles the complexities of multi-player scenarios in \emph{unknown games}, where the primary challenge lies in navigating the uncertainty of the environment through bandit feedback alongside strategic decision-making. We…

Machine Learning · Computer Science 2024-02-27 Yingru Li , Liangqi Liu , Wenqiang Pu , Hao Liang , Zhi-Quan Luo

Sports analytics -- broadly defined as the pursuit of improvement in athletic performance through the analysis of data -- has expanded its footprint both in the professional sports industry and in academia over the past 30 years. In this…

Applications · Statistics 2023-01-11 Benjamin S. Baumer , Gregory J. Matthews , Quang Nguyen

Engaging in playful activities, such as playing a musical instrument, learning a language, or performing sports, is a fundamental aspect of human life. We present a quantitative empirical analysis of the engagement dynamics into playful…

Physics and Society · Physics 2019-11-06 David Reguera , Pol Colomer-de-Simón , Iván Encinas , Manel Sort , Jan Wedekind , Marián Boguñá