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This paper investigates a class of games with large strategy spaces, motivated by challenges in AI alignment and language games. We introduce the hidden game problem, where for each player, an unknown subset of strategies consistently…

Artificial Intelligence · Computer Science 2025-10-07 Gon Buzaglo , Noah Golowich , Elad Hazan

Patterns of wins and losses in pairwise contests, such as occur in sports and games, consumer research and paired comparison studies, and human and animal social hierarchies, are commonly analyzed using probabilistic models that allow one…

Physics and Society · Physics 2025-11-03 Maximilian Jerdee , M. E. J. Newman

While AI systems have equaled or surpassed human performance in a wide variety of games such as Chess, Go, or Dota 2, describing these systems as truly "human-like" remains far-fetched. Despite their success, they fail to replicate the…

Artificial Intelligence · Computer Science 2025-07-09 Aloïs Rautureau , Éric Piette

In simple card games, cards are dealt one at a time and the player guesses each card sequentially. We study problems where feedback (e.g. correct/incorrect) is given after each guess. For decks with repeated values (as in blackjack where…

Probability · Mathematics 2021-07-20 Persi Diaconis , Ron Graham , Sam Spiro

The complexity of game play in online multiplayer games has generated strong interest in modeling the different play styles or strategies used by players for success. We develop a hierarchical Bayesian regression approach for the online…

Machine Learning · Computer Science 2021-12-15 Aline Normoyle , Shane T. Jensen

In this paper, we use fully convolutional architectures in AlphaZero-like self-play training setups to facilitate transfer between variants of board games as well as distinct games. We explore how to transfer trained parameters of these…

Machine Learning · Computer Science 2023-12-11 Dennis J. N. J. Soemers , Vegard Mella , Eric Piette , Matthew Stephenson , Cameron Browne , Olivier Teytaud

We present a new framework for deriving bounds on the generalization bound of statistical learning algorithms from the perspective of online learning. Specifically, we construct an online learning game called the "generalization game",…

Machine Learning · Statistics 2024-10-18 Gábor Lugosi , Gergely Neu

We present the first in a series of three academic essays which deal with the question of how to build a generalized player model. We begin with a proposition: a general model of players requires parameters for the subjective experience of…

Human-Computer Interaction · Computer Science 2016-07-20 Benjamin Ultan Cowley , Darryl Charles

We apply the generalized conditional gradient algorithm to potential mean field games and we show its well-posedeness. It turns out that this method can be interpreted as a learning method called fictitious play. More precisely, each step…

Analysis of PDEs · Mathematics 2021-09-14 J Frédéric Bonnans , Pierre Lavigne , Laurent Pfeiffer

We describe nearly fifteen years of General Game Playing experimental research history in the context of reproducibility and fairness of comparisons between various GGP agents and systems designed to play games described by different…

Artificial Intelligence · Computer Science 2020-03-10 Jakub Kowalski , Marek Szykuła

Representing games through their pixels offers a promising approach for building general-purpose and versatile game models. While games are not merely images, neural network models trained on game pixels often capture differences of the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Chintan Trivedi , Antonios Liapis , Georgios N. Yannakakis

When learning to play an imperfect information game, it is often easier to first start with the basic mechanics of the game rules. For example, one can play several example rounds with private cards revealed to all players to better…

Computer Science and Game Theory · Computer Science 2025-05-27 Benjamin Heymann , Marc Lanctot

Rating systems play a crucial role in evaluating player skill across competitive environments. The Elo rating system, originally designed for deterministic and information-complete games such as chess, has been widely adopted and modified…

Computer Science and Game Theory · Computer Science 2025-12-23 Avirup Chakraborty , Shirsa Maitra , Tathagata Banerjee , Diganta Mukherjee , Tridib Mukherjee

Deceptive games are games where the reward structure or other aspects of the game are designed to lead the agent away from a globally optimal policy. While many games are already deceptive to some extent, we designed a series of games in…

Artificial Intelligence · Computer Science 2018-02-06 Damien Anderson , Matthew Stephenson , Julian Togelius , Christian Salge , John Levine , Jochen Renz

This work contains the mathematical exploration of a few prototypical games in which central concepts from statistics and probability theory naturally emerge. The first two kinds of games are termed Fisher and Bayesian games, which are…

Statistics Theory · Mathematics 2024-02-27 Jozsef Konczer

Many problems can be viewed as games, where one or more agents try to ensure that certain objectives hold no matter the behavior from the environment and other agents. In recent years, a number of logical formalisms have been proposed for…

Logic in Computer Science · Computer Science 2020-02-07 Munyque Mittelmann , Laurent Perrussel

The Bradley-Terry model has previously been used in both Bayesian and frequentist interpretations to evaluate the strengths of sports teams based on win-loss game results. It has also been extended to handle additional possible results such…

Applications · Statistics 2023-01-10 John T. Whelan , Jacob E. Klein

The ability to inferring latent psychological traits from human behavior is key to developing personalized human-interacting machine learning systems. Approaches to infer such traits range from surveys to manually-constructed experiments…

Machine Learning · Computer Science 2019-12-13 Fan Yang , Liu Leqi , Yifan Wu , Zachary C. Lipton , Pradeep Ravikumar , William W. Cohen , Tom Mitchell

A generalized model of games is proposed, in which cooperative games and non-cooperative games are special cases. Some games that are neither cooperative nor non-cooperative can be expressed and analyzed. The model is based on relationships…

Computer Science and Game Theory · Computer Science 2016-10-10 Jiawei Li

Predicting human decision-making under risk and uncertainty is a long-standing challenge in cognitive science, economics, and AI. While prior research has focused on numerically described lotteries, real-world decisions often rely on…

Machine Learning · Computer Science 2025-12-16 Eyal Marantz , Ori Plonsky
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