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Herein we present one hundred inequalities culled from various corners of the probability, statistics, and combinatorics literature. We welcome new suggestions.

Statistics Theory · Mathematics 2021-02-16 CNP Slagle

For some $\epsilon > 10^{-36}$ we give a randomized $3/2-\epsilon$ approximation algorithm for metric TSP.

Data Structures and Algorithms · Computer Science 2023-10-26 Anna R. Karlin , Nathan Klein , Shayan Oveis Gharan

A class of discrete Bidding Combinatorial Games that generalize alternating normal play was introduced by Kant, Larsson, Rai, and Upasany (2022). The major questions concerning optimal outcomes were resolved. By generalizing standard game…

Computer Science and Game Theory · Computer Science 2023-10-31 Prem Kant , Urban Larsson , Ravi K. Rai , Akshay V. Upasany

Decomposition methods are often used for producing counterfactual predictions in non-strategic settings. When the outcome of interest arises from a game-theoretic setting where agents are better off by deviating from their strategies after…

Econometrics · Economics 2024-07-03 Nathan Canen , Kyungchul Song

We study online aggregation of the predictions of experts, and first show new second-order regret bounds in the standard setting, which are obtained via a version of the Prod algorithm (and also a version of the polynomially weighted…

Machine Learning · Statistics 2014-02-11 Pierre Gaillard , Gilles Stoltz , Tim Van Erven

We start briefly surveying research on optimal stopping games since their introduction by E.B.Dynkin more than 40 years ago. Recent renewed interest to dynkin's games is due, in particular, to the study of Israeli (game) options introduced…

Pricing of Securities · Quantitative Finance 2013-02-21 Yuri Kifer

We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence…

Statistics Theory · Mathematics 2013-11-05 Zhengjia Chen , Xinjia Chen

Population games model the evolution of strategic interactions among a large number of uniform agents. Due to the agents' uniformity and quantity, their aggregate strategic choices can be approximated by the solutions of a class of ordinary…

Computer Science and Game Theory · Computer Science 2023-12-14 Semih Kara , Nuno C. Martins

An error in the paper [J. Math. Phys. 43, 6343 (2002); math-ph/0207009] is corrected. Further explanation is given.

Mathematical Physics · Physics 2015-06-26 Ali Mostafazadeh

In this note, it is shown that the results claimed in the paper [1]---as well as the examples presented there---are, unfortunately, incorrect.

Dynamical Systems · Mathematics 2019-09-12 Alejandro Donaire , Jose Guadalupe Romero , Romeo Ortega

We give a converging semidefinite programming hierarchy of outer approximations for the set of quantum correlations of fixed dimension and derive analytical bounds on the convergence speed of the hierarchy. In particular, we give a…

Quantum Physics · Physics 2021-07-05 Hyejung H. Jee , Carlo Sparaciari , Omar Fawzi , Mario Berta

This is a letter to the editor concerning Semjon Adlaj's article "An eloquent formula for the perimeter of an ellipse", AMS Notices 59, 8 (2012), 1094-1099.

History and Overview · Mathematics 2013-03-13 Richard P. Brent

In the note an error in Low and Lapsley's article ("Optimization Flow Control, I: Basic Algorithm and Convergence", IEEE/ACM Transactions on Networking, 7(6), pp. 861-874, 1999) is pointed out. Because of this error the proof of the Theorem…

Networking and Internet Architecture · Computer Science 2016-10-11 Andrzej Karbowski

This is a Reply to comments published in Physics of Life Reviews, on our article "Evolutionary game theory using agent-based methods" (Physics of Life Reviews, 2016, arXiv:1404.0994).

Populations and Evolution · Quantitative Biology 2016-12-07 Christoph Adami , Jory Schossau , Arend Hintze

The paper by G. Liu [arxiv:2109.02561] contains an error. In this note, I give a brief review of the problem and indicate what the error is.

Spectral Theory · Mathematics 2021-09-21 Leonid Friedlander

The projection games (aka Label-Cover) problem is of great importance to the field of approximation algorithms, since most of the NP-hardness of approximation results we know today are reductions from Label-Cover. In this paper we design…

Data Structures and Algorithms · Computer Science 2015-11-17 Pasin Manurangsi , Dana Moshkovitz

We consider how an agent should update her uncertainty when it is represented by a set $\P$ of probability distributions and the agent observes that a random variable $X$ takes on value $x$, given that the agent makes decisions using the…

Artificial Intelligence · Computer Science 2007-11-27 Peter D. Grunwald , Joseph Y. Halpern

We study two-player general sum repeated finite games where the rewards of each player are generated from an unknown distribution. Our aim is to find the egalitarian bargaining solution (EBS) for the repeated game, which can lead to much…

Machine Learning · Computer Science 2019-06-05 Aristide Tossou , Christos Dimitrakakis , Jaroslaw Rzepecki , Katja Hofmann

Comment on Article by Ferreira and Gamerman [arXiv:1509.03410].

Statistics Theory · Mathematics 2015-09-17 James V. Zidek

Comment on Article by Ferreira and Gamerman [arXiv:1509.03410].

Statistics Theory · Mathematics 2015-09-17 Michael Chipeta , Peter J. Diggle