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The difference set of an outcome in an auction is the set of types that the auction mechanism maps to the outcome. We give a complete characterization of the geometry of the difference sets that can appear for a dominant strategy incentive…

Computer Science and Game Theory · Computer Science 2022-11-04 Michael Joswig , Max Klimm , Sylvain Spitz

Sponsored search positions are typically allocated through real-time auctions, where the outcomes depend on advertisers' quality-adjusted bids - the product of their bids and quality scores. Although quality scoring helps promote ads with…

Computer Science and Game Theory · Computer Science 2025-09-01 Mohammad Rashid , Omid Rafieian , Soheil Ghili

This paper develops tools for welfare and revenue analyses of Bayes-Nash equilibria in asymmetric auctions with single-dimensional agents. We employ these tools to derive price of anarchy results for social welfare and revenue. Our approach…

Computer Science and Game Theory · Computer Science 2019-01-17 Jason Hartline , Darrell Hoy , Sam Taggart

We address the problem of improving bidders' strategies in prior-dependent revenue-maximizing auctions and introduce a simple and generic method to design novel bidding strategies if the seller uses past bids to optimize her mechanism. We…

Computer Science and Game Theory · Computer Science 2021-09-15 Thomas Nedelec , Marc Abeille , Clément Calauzènes , Benjamin Heymann , Vianney Perchet , Noureddine El Karoui

Algorithms increasingly automate bidding in online auctions, raising concerns about tacit bid suppression and revenue shortfalls. Prior work identifies individual mechanisms behind algorithmic bid suppression, but it remains unclear which…

General Economics · Economics 2026-03-24 Pranjal Rawat

In this note, we show a sublinear nonergodic convergence rate for the algorithm developed in [Bai, et al. Generalized symmetric ADMM for separable convex optimization. Comput. Optim. Appl. 70, 129-170 (2018)], as well as its linear…

Numerical Analysis · Mathematics 2019-06-20 Jianchao Bai , Xiaokai Chang , Jicheng Li , Fengmin Xu

A prevalent assumption in auction theory is that the auctioneer has full control over the market and that the allocation she dictates is final. In practice, however, agents might be able to resell acquired items in an aftermarket. A…

Theoretical Economics · Economics 2022-11-17 Moshe Babaioff , Nicole Immorlica , Yingkai Li , Brendan Lucier

Auction design for the modern advertising market has gained significant prominence in the field of game theory. With the recent rise of auto-bidding tools, an increasing number of advertisers in the market are utilizing these tools for…

Computer Science and Game Theory · Computer Science 2024-12-31 Changfeng Xu , Chao Peng , Chenyang Xu , Zhengfeng Yang

We design algorithms for computing approximately revenue-maximizing {\em sequential posted-pricing mechanisms (SPM)} in $K$-unit auctions, in a standard Bayesian model. A seller has $K$ copies of an item to sell, and there are $n$ buyers,…

Computer Science and Game Theory · Computer Science 2010-08-11 Tanmoy Chakraborty , Eyal Even-Dar , Sudipto Guha , Yishay Mansour , S. Muthukrishnan

We establish the asymptotic theory in quantile autoregression when the model parameter is specified with respect to moderate deviations from the unit boundary of the form (1 + c / k) with a convergence sequence that diverges at a rate…

Econometrics · Economics 2023-08-22 Christis Katsouris

We study the revenue comparison problem of auctions when the seller has a maxmin expected utility preference. The seller holds a set of priors around some reference belief, interpreted as an approximating model of the true probability law…

Theoretical Economics · Economics 2022-11-24 Sosung Baik , Sung-Ha Hwang

We consider statistical inference in high-dimensional regression problems under affine constraints on the parameter space. The theoretical study of this is motivated by the study of genetic determinants of diseases, such as diabetes, using…

We propose a new architecture to approximately learn incentive compatible, revenue-maximizing auctions from sampled valuations. Our architecture uses the Sinkhorn algorithm to perform a differentiable bipartite matching which allows the…

Computer Science and Game Theory · Computer Science 2021-06-16 Michael J. Curry , Uro Lyi , Tom Goldstein , John Dickerson

We study the problem of learning revenue-optimal multi-bidder auctions from samples when the samples of bidders' valuations can be adversarially corrupted or drawn from distributions that are adversarially perturbed. First, we prove tight…

Computer Science and Game Theory · Computer Science 2021-07-14 Wenshuo Guo , Michael I. Jordan , Manolis Zampetakis

Auctions are a vital economic mechanism used to determine the market value of goods or services through competitive bidding within a specific framework. However, much of the current research primarily focuses on the bidding algorithms used…

Computational Engineering, Finance, and Science · Computer Science 2025-10-30 Jie Sun , Tianyu Zhang , Houcheng Jiang , Kexin Huang , Xiang Shu , Zhibo Zhu , Lintao Ma , Xingyu Lu , Jun Zhou , Junkang Wu , Chi Luo , An Zhang , Junkang Wu , Jiancan Wu , Xiang Wang

In classic auction theory, reserve prices are known to be effective for improving revenue for the auctioneer against quasi-linear utility maximizing bidders. The introduction of reserve prices, however, usually do not help improve total…

Computer Science and Game Theory · Computer Science 2021-11-05 Santiago Balseiro , Yuan Deng , Jieming Mao , Vahab Mirrokni , Song Zuo

Weak value amplification and other postselection-based metrological protocols can enhance precision while estimating small parameters, outperforming postselection-free protocols. In general, these enhancements are largely constrained…

Quantum Physics · Physics 2023-05-24 Sourav Das , Subhrajit Modak , Manabendra Nath Bera

We propose a uniform approach for the design and analysis of prior-free competitive auctions and online auctions. Our philosophy is to view the benchmark function as a variable parameter of the model and study a broad class of functions…

Computer Science and Game Theory · Computer Science 2014-11-11 Ning Chen , Nick Gravin , Pinyan Lu

We study multi-unit auctions in which bidders have limited knowledge of opponent strategies and values. We characterize optimal prior-free bids; these bids minimize the maximal loss in expected utility resulting from uncertainty surrounding…

Theoretical Economics · Economics 2023-05-02 Bernhard Kasberger , Kyle Woodward

We describe human-subject laboratory experiments on probabilistic auctions based on previously proposed auction protocols involving the simulated manipulation and communication of quantum states. These auctions are probabilistic in…

Quantum Physics · Physics 2009-03-31 Kay-Yut Chen , Tad Hogg
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