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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

Basket trials have gained increasing attention for their efficiency, as multiple patient subgroups are evaluated simultaneously. Conducted basket trials focus primarily on establishing the early efficacy of a treatment, yet continued…

Applications · Statistics 2025-05-16 Zhi Cao , Pavel Mozgunov , Haiyan Zheng

If the influence diagram (ID) depicting a Bayesian game is common knowledge to its players then additional assumptions may allow the players to make use of its embodied irrelevance statements. They can then use these to discover a simpler…

Computer Science and Game Theory · Computer Science 2017-04-10 Peter A. Thwaites , Jim Q. Smith

The popularity of computer games is remarkably high and is still growing every year. Despite this popularity and the economical importance of gaming, research in game design, or to be more precise, of game mechanics that can be used to…

Human-Computer Interaction · Computer Science 2019-09-24 Philipp Moll , Veit Frick , Natascha Rauscher , Mathias Lux

From sports to science, the recent availability of large-scale data has allowed to gain insights on the drivers of human innovation and success in a variety of domains. Here we quantify human performance in the popular game of chess by…

Physics and Society · Physics 2022-07-19 Sandeep Chowdhary , Iacopo Iacopini , Federico Battiston

We describe a preliminary investigation into learning a Chess player's style from game records. The method is based on attempting to learn features of a player's individual evaluation function using the method of temporal differences, with…

Artificial Intelligence · Computer Science 2009-04-20 Mark Levene , Trevor Fenner

In a function that takes its inputs from various players, the effect of a player measures the variation he can cause in the expectation of that function. In this paper we prove a tight upper bound on the number of players with large effect,…

Probability · Mathematics 2008-05-06 Ronen Gradwohl , Omer Reingold , Ariel Yadin , Amir Yehudayoff

The Elo system for rating chess players, also used in other games and sports, was adopted by the World Chess Federation over four decades ago. Although not without controversy, it is accepted as generally reliable and provides a method for…

Physics and Society · Physics 2011-03-31 Trevor Fenner , Mark Levene , George Loizou

Suppose some cleverness score parameter is sufficiently interesting to be defined and then measured, perhaps for different strata of specialists or for the broader population. Such phenomena could have Gaussian distributions, when it comes…

Other Statistics · Statistics 2026-05-19 Nils Lid Hjort

Hierarchical networks are prevalent in nature and society, corresponding to groups of actors - animals, humans or even robots - organised according to a pyramidal structure with decision makers at the top and followers at the bottom. While…

Physics and Society · Physics 2019-01-25 Bálint J. Tóth , Gergely Palla , Enys Mones , Gergő Havadi , Nóra Páll , Péter Pollner , Tamás Vicsek

I study peer effects that arise from irreversible decisions in the absence of a standard social equilibrium. I model a latent sequence of decisions in continuous time and obtain a closed-form expression for the likelihood, which allows to…

Econometrics · Economics 2026-02-18 Vincent Starck

Research on peer effects in sociology has been focused for long on social influence power to investigate the social foundations for social interactions. This paper extends Xu(2011)'s large--network--based game model by allowing for…

Methodology · Statistics 2018-03-20 Zhongjian Lin , Haiqing Xu

Poker is a challenging problem for artificial intelligence, with non-deterministic dynamics, partial observability, and the added difficulty of unknown adversaries. Modelling all of the uncertainties in this domain is not an easy task. In…

Computer Science and Game Theory · Computer Science 2012-07-09 Finnegan Southey , Michael P. Bowling , Bryce Larson , Carmelo Piccione , Neil Burch , Darse Billings , Chris Rayner

I introduce heterogeneity into the analysis of peer effects that arise from conformity, allowing the strength of the taste for conformity to vary across agents' actions. Using a structural model based on a simultaneous network game with…

Econometrics · Economics 2025-12-01 Mathieu Lambotte

We study Bayesian coordination games where agents receive noisy private information over the game's payoff structure, and over each others' actions. If private information over actions is precise, we find that agents can coordinate on…

General Economics · Economics 2019-04-25 Dominik Grafenhofer , Wolfgang Kuhle

Order effects occur when judgments about a hypothesis's probability given a sequence of information do not equal the probability of the same hypothesis when the information is reversed. Different experiments have been performed in the…

Artificial Intelligence · Computer Science 2021-09-24 Catarina Moreira , Jose Acacio de Barros

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

Machine Learning · Statistics 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

The paper presents a hierarchical Bayesian model for simultaneous inference of tournament graphs and informant error. From multiple informant reports or measurement instrument outputs, the model estimates the structure of a criterion (i.e.,…

Methodology · Statistics 2013-10-14 Ben Hanowell

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

I propose a flexible structural model to estimate peer effects across various quantiles of the peer outcome distribution. The model allows peers with low, intermediate, and high outcomes to exert distinct influences, thereby capturing more…

Econometrics · Economics 2025-06-17 Aristide Houndetoungan