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We study the problem of setting a price for a potential buyer with a valuation drawn from an unknown distribution $D$. The seller has "data"' about $D$ in the form of $m \ge 1$ i.i.d. samples, and the algorithmic challenge is to use these…

Computer Science and Game Theory · Computer Science 2015-02-12 Zhiyi Huang , Yishay Mansour , Tim Roughgarden

We examine information structure design, also called "persuasion" or "signaling", in the presence of a constraint on the amount of communication. We focus on the fundamental setting of bilateral trade, which in its simplest form involves a…

Computer Science and Game Theory · Computer Science 2020-03-09 Shaddin Dughmi , David Kempe , Ruixin Qiang

We study auctions that are robust at any scale, i.e., they can be applied to sell both expensive and cheap items and achieve the best multiplicative approximations of the optimal revenue in the worst case. We show that the optimal mechanism…

Computer Science and Game Theory · Computer Science 2025-10-27 Jason Hartline , Aleck Johnsen , Yingkai Li

We study simple and approximately optimal auctions for agents with a particular form of risk-averse preferences. We show that, for symmetric agents, the optimal revenue (given a prior distribution over the agent preferences) can be…

Computer Science and Game Theory · Computer Science 2013-01-04 Hu Fu , Jason Hartline , Darrell Hoy

This paper focuses on the problem of finding a particular data recommendation strategy based on the user preferences and a system expected revenue. To this end, we formulate this problem as an optimization by designing the recommendation…

Information Theory · Computer Science 2024-12-20 Shanyun Liu , Yunquan Dong , Pingyi Fan , Rui She , Shuo Wan

Most work in mechanism design assumes that buyers are risk neutral; some considers risk aversion arising due to a non-linear utility for money. Yet behavioral studies have established that real agents exhibit risk attitudes which cannot be…

Computer Science and Game Theory · Computer Science 2018-03-13 Shuchi Chawla , Kira Goldner , J. Benjamin Miller , Emmanouil Pountourakis

We investigate approximately optimal mechanisms in settings where bidders' utility functions are non-linear; specifically, convex, with respect to payments (such settings arise, for instance, in procurement auctions for energy). We provide…

Computer Science and Game Theory · Computer Science 2017-02-23 Amy Greenwald , Takehiro Oyakawa , Vasilis Syrgkanis

We design an expected polynomial-time, truthful-in-expectation, (1-1/e)-approximation mechanism for welfare maximization in a fundamental class of combinatorial auctions. Our results apply to bidders with valuations that are m matroid rank…

Computer Science and Game Theory · Computer Science 2011-04-19 Shaddin Dughmi , Tim Roughgarden , Qiqi Yan

We study the optimal auction design problem when bidders' preferences follow the maxmin expected utility model. We suppose that each bidder's set of priors consists of beliefs close to the seller's belief, where "closeness" is defined by a…

Theoretical Economics · Economics 2021-10-19 Sosung Baik , Sung-Ha Hwang

Consider a monopolist selling $n$ items to an additive buyer whose item values are drawn from independent distributions $F_1,F_2,\ldots,F_n$ possibly having unbounded support. Unlike in the single-item case, it is well known that the…

Computer Science and Game Theory · Computer Science 2021-04-13 Moshe Babaioff , Yannai A. Gonczarowski , Noam Nisan

For selling a single item to agents with independent but non-identically distributed values, the revenue optimal auction is complex. With respect to it, Hartline and Roughgarden (2009) showed that the approximation factor of the…

Computer Science and Game Theory · Computer Science 2016-11-17 Saeed Alaei , Jason Hartline , Rad Niazadeh , Emmanouil Pountourakis , Yang Yuan

We present a general framework for designing approximately revenue-optimal mechanisms for multi-item additive auctions, which applies to both truthful and non-truthful auctions. Given a (not necessarily truthful) single-item auction format…

Computer Science and Game Theory · Computer Science 2022-09-23 Constantinos Daskalakis , Maxwell Fishelson , Brendan Lucier , Vasilis Syrgkanis , Santhoshini Velusamy

We study efficiency loss in Bayesian revenue optimal auctions. We quantify this as the worst case ratio of loss in the realized social welfare to the social welfare that can be realized by an efficient auction. Our focus is on auctions with…

Computer Science and Game Theory · Computer Science 2010-09-14 Vineet Abhishek , Bruce Hajek

The optimal pricing problem is a fundamental problem that arises in combinatorial auctions. Suppose that there is one seller who has indivisible items and multiple buyers who want to purchase a combination of the items. The seller wants to…

Computer Science and Game Theory · Computer Science 2016-11-24 Takanori Maehara , Yasushi Kawase , Hanna Sumita , Katsuya Tono , Ken-ichi Kawarabayashi

We study auction design when a seller relies on machine-learning predictions of bidders' valuations that may be unreliable. Motivated by modern ML systems that are often accurate but occasionally fail in a way that is essentially…

Computer Science and Game Theory · Computer Science 2026-01-29 Ilan Lobel , Humberto Moreira , Omar Mouchtaki

In this work, we study spectrum auction problem where each request from secondary users has spatial, temporal, and spectral features. With the requests of secondary users and the reserve price of the primary user, our goal is to design…

Networking and Internet Architecture · Computer Science 2013-05-29 Yu-e Sun , He Huang , Xiang-Yang Li , Zhili Chen , Wei Yang , Hongli Xu , Liusheng Huang

We consider the Max-Buying Problem with Limited Supply, in which there are $n$ items, with $C_i$ copies of each item $i$, and $m$ bidders such that every bidder $b$ has valuation $v_{ib}$ for item $i$. The goal is to find a pricing $p$ and…

Computer Science and Game Theory · Computer Science 2013-10-01 Cristina G. Fernandes , Rafael C. S. Schouery

We advance a recently flourishing line of work at the intersection of learning theory and computational economics by studying the learnability of two classes of mechanisms prominent in economics, namely menus of lotteries and two-part…

Computer Science and Game Theory · Computer Science 2024-07-17 Maria-Florina Balcan , Hedyeh Beyhaghi

We revisit the problem of large-scale assortment optimization under the multinomial logit choice model without any assumptions on the structure of the feasible assortments. Scalable real-time assortment optimization has become essential in…

Optimization and Control · Mathematics 2018-05-02 Deeksha Sinha , Theja Tulabandhula

We study independent private values auction environments in which the auctioneer's revenue depends nonlinearly on bidders' interim winning probabilities. Our framework accommodates heterogeneity among bidders and places no ad hoc…

Theoretical Economics · Economics 2026-02-23 Pasha Andreyanov , Ilia Krasikov , Alex Suzdaltsev