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Many auction settings implicitly or explicitly require that bidders are treated equally ex-ante. This may be because discrimination is philosophically or legally impermissible, or because it is practically difficult to implement or…

Computer Science and Game Theory · Computer Science 2014-11-06 Christos Tzamos , Christopher A. Wilkens

The simultaneous multiple-round auction (SMRA) and the combinatorial clock auction (CCA) are the two primary mechanisms used to sell bandwidth. Under truthful bidding, the SMRA is known to output a Walrasian equilibrium that maximizes…

Computer Science and Game Theory · Computer Science 2015-10-02 Nicolas Bousquet , Yang Cai , Adrian Vetta

Combinatorial auctions (CA) are a well-studied area in algorithmic mechanism design. However, contrary to the standard model, empirical studies suggest that a bidder's valuation often does not depend solely on the goods assigned to him. For…

Computer Science and Game Theory · Computer Science 2015-10-01 Yun Kuen Cheung , Monika Henzinger , Martin Hoefer , Martin Starnberger

We study fair division of indivisible goods in a single-parameter environment. In particular, we develop truthful social welfare maximizing mechanisms for fairly allocating indivisible goods. Our fairness guarantees are in terms of solution…

Computer Science and Game Theory · Computer Science 2019-01-29 Siddharth Barman , Ganesh Ghalme , Shweta Jain , Pooja Kulkarni , Shivika Narang

We present a computationally-efficient truthful mechanism for combinatorial auctions with subadditive bidders that achieves an $O((\log\!\log{m})^3)$-approximation to the maximum welfare in expectation using $O(n)$ demand queries; here $m$…

Computer Science and Game Theory · Computer Science 2020-10-06 Sepehr Assadi , Thomas Kesselheim , Sahil Singla

We introduce a general approach based on \emph{selective verification} and obtain approximate mechanisms without money for maximizing the social welfare in the general domain of utilitarian voting. Having a good allocation in mind, a…

Computer Science and Game Theory · Computer Science 2015-07-10 Dimitris Fotakis , Christos Tzamos , Emmanouil Zampetakis

We study the problem of selling identical goods to n unit-demand bidders in a setting in which the total supply of goods is unknown to the mechanism. Items arrive dynamically, and the seller must make the allocation and payment decisions…

Computer Science and Game Theory · Computer Science 2009-05-22 Moshe Babaioff , Liad Blumrosen , Aaron L. Roth

In combinatorial auctions, a designer must decide how to allocate a set of indivisible items amongst a set of bidders. Each bidder has a valuation function which gives the utility they obtain from any subset of the items. Our focus is…

Computer Science and Game Theory · Computer Science 2017-03-31 Shaddin Dughmi , Bryan Wilder

We present a new type of monotone submodular functions: \emph{multi-peak submodular functions}. Roughly speaking, given a family of sets $\cF$, we construct a monotone submodular function $f$ with a high value $f(S)$ for every set $S \in…

Data Structures and Algorithms · Computer Science 2015-03-20 Shahar Dobzinski , Jan Vondrak

We perform a simulation-based analysis of keyword auctions modeled as one-shot games of incomplete information to study a series of mechanism design questions. Our first question addresses the degree to which incentive compatibility fails…

Computer Science and Game Theory · Computer Science 2012-05-14 Yevgeniy Vorobeychik

An indivisible object may be sold to one of $n$ agents who know their valuations of the object. The seller would like to use a revenue-maximizing mechanism but her knowledge of the valuations' distribution is scarce: she knows only the…

Theoretical Economics · Economics 2020-08-27 Alex Suzdaltsev

We study truthful auctions for secondary spectrum usage in wireless networks. In this scenario, n communication requests need to be allocated to k available channels that are subject to interference and noise. We present the first truthful…

Data Structures and Algorithms · Computer Science 2011-10-27 Martin Hoefer , Thomas Kesselheim

We study the problem of allocating indivisible goods among agents in a fair and economically efficient manner. In this context, the Nash social welfare-defined as the geometric mean of agents' valuations for their assigned bundles-stands as…

Computer Science and Game Theory · Computer Science 2021-10-27 Siddharth Barman , Paritosh Verma

We provide algorithms that learn simple auctions whose revenue is approximately optimal in multi-item multi-bidder settings, for a wide range of valuations including unit-demand, additive, constrained additive, XOS, and subadditive. We…

Computer Science and Game Theory · Computer Science 2017-09-04 Yang Cai , Constantinos Daskalakis

We exhibit incentive compatible multi-unit auctions that are not affine maximizers (i.e., are not of the VCG family) and yet approximate the social welfare to within a factor of $1+\epsilon$. For the case of two-item two-bidder auctions we…

Computer Science and Game Theory · Computer Science 2015-03-14 Shahar Dobzinski , Noam Nisan

From social networks to supply chains, more and more aspects of how humans, firms and organizations interact is mediated by artificial learning agents. As the influence of machine learning systems grows, it is paramount that we study how to…

Multiagent Systems · Computer Science 2022-11-02 Andrea Tacchetti , DJ Strouse , Marta Garnelo , Thore Graepel , Yoram Bachrach

State-of-the-art posted-price mechanisms for submodular bidders with $m$ items achieve approximation guarantees of $O((\log \log m)^3)$ [Assadi and Singla, 2019]. Their truthfulness, however, requires bidders to compute an NP-hard…

Computer Science and Game Theory · Computer Science 2020-08-05 Linda Cai , Clayton Thomas , S. Matthew Weinberg

We study \emph{combinatorial procurement auctions}, where a buyer with a valuation function $v$ and budget $B$ wishes to buy a set of items. Each item $i$ has a cost $c_i$ and the buyer is interested in a set $S$ that maximizes $v(S)$…

Computer Science and Game Theory · Computer Science 2015-03-19 Ashwinkumar Badanidiyuru , Shahar Dobzinski , Sigal Oren

We study the Price of Anarchy of mechanisms for the well-known problem of one-sided matching, or house allocation, with respect to the social welfare objective. We consider both ordinal mechanisms, where agents submit preference lists over…

Computer Science and Game Theory · Computer Science 2016-03-01 George Christodoulou , Aris Filos-Ratsikas , Soren Kristoffer Stiil Frederiksen , Paul W. Goldberg , Jie Zhang , Jinshan Zhang

We study the bilateral trade problem where a seller owns a single indivisible item, and a potential buyer seeks to purchase it. Previous mechanisms for this problem only considered the case where the values of the buyer and the seller are…

Computer Science and Game Theory · Computer Science 2024-04-17 Shahar Dobzinski , Ariel Shaulker