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We introduce a novel generalization of the Clauser-Horne-Shimony-Holt (CHSH) game to a multiplayer setting, i.e., Hypercube game, where all $m$ players are required to assign values to vertices on corresponding facets of an $m$-dimensional…

Quantum Physics · Physics 2018-06-08 Xiaoyu He , Kun Fang , Xiaoming Sun , Runyao Duan

We investigate the problem of equilibrium computation for "large" $n$-player games. Large games have a Lipschitz-type property that no single player's utility is greatly affected by any other individual player's actions. In this paper, we…

Computer Science and Game Theory · Computer Science 2016-10-28 Paul W. Goldberg , Francisco J. Marmolejo-Cossío , Zhiwei Steven Wu

Pattern mining is one of the most well-studied subfields in exploratory data analysis. While there is a significant amount of literature on how to discover and rank itemsets efficiently from binary data, there is surprisingly little…

Data Structures and Algorithms · Computer Science 2019-02-05 Nikolaj Tatti

The most popular methods for measuring importance of the variables in a black box prediction algorithm make use of synthetic inputs that combine predictor variables from multiple subjects. These inputs can be unlikely, physically…

Machine Learning · Computer Science 2023-04-14 Masayoshi Mase , Art B. Owen , Benjamin B. Seiler

A valuation for a player in a game in extensive form is an assignment of numeric values to the players moves. The valuation reflects the desirability moves. We assume a myopic player, who chooses a move with the highest valuation.…

Machine Learning · Computer Science 2007-05-23 Philippe Jehiel , Dov Samet

Value estimation is a critical component of the reinforcement learning (RL) paradigm. The question of how to effectively learn value predictors from data is one of the major problems studied by the RL community, and different approaches…

Machine Learning · Computer Science 2020-10-22 Arthur Guez , Fabio Viola , Théophane Weber , Lars Buesing , Steven Kapturowski , Doina Precup , David Silver , Nicolas Heess

The widespread availability of superhuman AI engines is changing how we play the ancient game of Go. The open-source software packages developed after the AlphaGo series shifted focus from producing strong playing entities to providing…

Artificial Intelligence · Computer Science 2020-11-16 Attila Egri-Nagy , Antti Törmänen

In each round of a Swiss-system tournament, players of similar score are paired against each other. An intentional early loss therefore might lead to weaker opponents in later rounds and thus to a better final tournament result - a…

Computer Science and Game Theory · Computer Science 2023-02-22 Ágnes Cseh , Pascal Führlich , Pascal Lenzner

We introduce a new compositional framework for generalized variational inference, clarifying the different parts of a model, how they interact, and how they compose. We explain that both exact Bayesian inference and the loss functions…

Machine Learning · Statistics 2025-03-26 Toby St Clere Smithe , Marco Perin

Motivated by applications to data networks where fast convergence is essential, we analyze the problem of learning in generic N-person games that admit a Nash equilibrium in pure strategies. Specifically, we consider a scenario where…

Computer Science and Game Theory · Computer Science 2016-08-01 Johanne Cohen , Amélie Héliou , Panayotis Mertikopoulos

A quantitative method is described for comparing chess openings. Test openings and baseline openings are run through chess engines under controlled conditions and compared to evaluate the effectiveness of the test openings. The results are…

Other Statistics · Statistics 2014-03-18 Jamal Munshi

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

Machine Learning · Statistics 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

For several decades, legal and scientific scholars have argued that conclusions from forensic examinations should be supported by statistical data and reported within a probabilistic framework. Multiple models have been proposed to quantify…

Applications · Statistics 2019-10-14 Cedric Neumann , Madeline A. Ausdemore

Analysis of efficiency of outcomes in game theoretic settings has been a main item of study at the intersection of economics and computer science. The notion of the price of anarchy takes a worst-case stance to efficiency analysis,…

Computer Science and Game Theory · Computer Science 2017-07-05 Darrell Hoy , Denis Nekipelov , Vasilis Syrgkanis

In chomp on graphs, two players alternatingly pick an edge or a vertex from a graph. The player that cannot move any more loses. The questions one wants to answer for a given graph are: Which player has a winning strategy? Can a explicit…

Combinatorics · Mathematics 2018-04-19 Ignacio García-Marco , Kolja Knauer , Luis Pedro Montejano

We present a new online learning algorithm for cumulative discounted gain. This learning algorithm does not use exponential weights on the experts. Instead, it uses a weighting scheme that depends on the regret of the master algorithm…

Computer Science and Game Theory · Computer Science 2008-07-01 Yoav Freund , Daniel Hsu

The independent chip model (ICM) forms a cornerstone of all modern poker tournament strategy. However, despite its prominence, the ICM's performance in the real world has not been sufficiently scrutinized, especially at a large scale. In…

Computer Science and Game Theory · Computer Science 2025-08-25 Juho Kim

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

Machine Learning · Computer Science 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

We present a strategic analysis of a trust model that has recently been proposed for promoting cooperative behaviour in user-centric networks. The mechanism for cooperation is based on a combination of reputation and virtual currency…

Computer Science and Game Theory · Computer Science 2013-03-05 Marta Kwiatkowska , David Parker , Aistis Simaitis

We propose a game-theoretic framework to study the outcomes of packetized payments, a cross-ledger transaction protocol, with strategic and possibly malicious agents. We derive the transaction failure rate and demonstrate that without…

Computer Science and Game Theory · Computer Science 2021-12-14 Alevtina Dubovitskaya , Damien Ackerer , Jiahua Xu