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We study the problem of achieving high efficiency in iterative combinatorial auctions (ICAs). ICAs are a kind of combinatorial auction where the auctioneer interacts with bidders to gather their valuation information using a limited number…

Computer Science and Game Theory · Computer Science 2024-09-24 Ryota Maruo , Hisashi Kashima

I study the design of auctions in which the auctioneer is assumed to have information only about the marginal distribution of a generic bidder's valuation, but does not know the correlation structure of the joint distribution of bidders'…

Theoretical Economics · Economics 2022-05-10 Wanchang Zhang

While auction theory views bids and valuations as continuous variables, real-world auctions are necessarily discrete. In this paper, we use a combination of analytical and computational methods to investigate whether incorporating…

Theoretical Economics · Economics 2022-08-17 Itzhak Rasooly , Carlos Gavidia-Calderon

For Bayesian combinatorial auctions, we present a general framework for approximately reducing the mechanism design problem for multiple buyers to single buyer sub-problems. Our framework can be applied to any setting which roughly…

Computer Science and Game Theory · Computer Science 2012-06-18 Saeed Alaei

We model a market in which nonstrategic vendors sell items of different types and offer bundles at discounted prices triggered by demand volumes. Each buyer acts strategically in order to maximize her utility, given by the difference…

Computer Science and Game Theory · Computer Science 2016-03-02 Lorenzo Coviello , Yiling Chen , Massimo Franceschetti

We study equilibria of markets with $m$ heterogeneous indivisible goods and $n$ consumers with combinatorial preferences. It is well known that a competitive equilibrium is not guaranteed to exist when valuations are not gross substitutes.…

Computer Science and Game Theory · Computer Science 2014-06-04 Shahar Dobzinski , Michal Feldman , Inbal Talgam-Cohen , Omri Weinstein

Along with substantial progress made recently in designing near-optimal mechanisms for multi-item auctions, interesting structural questions have also been raised and studied. In particular, is it true that the seller can always extract…

Computer Science and Game Theory · Computer Science 2017-09-12 Andrew Chi-Chih Yao

Designing an incentive-compatible auction mechanism that maximizes the auctioneer's revenue while minimizes the bidders' ex-post regret is an important yet intricate problem in economics. Remarkable progress has been achieved through…

Computer Science and Game Theory · Computer Science 2022-10-12 Tian Qin , Fengxiang He , Dingfeng Shi , Wenbing Huang , Dacheng Tao

We study the complexity of computing Bayes-Nash equilibria in single-item first-price auctions. We present the first efficient algorithms for the problem, when the bidders' values for the item are independently drawn from the same…

Computer Science and Game Theory · Computer Science 2026-03-26 Aris Filos-Ratsikas , Yiannis Giannakopoulos , Alexandros Hollender , Charalampos Kokkalis

Motivated by sponsored search auctions, we study multi-unit auctions with budget constraints. In the mechanism we propose, Sort-Cut, understating budgets or values is weakly dominated. Since Sort-Cut's revenue is increasing in budgets and…

Computer Science and Game Theory · Computer Science 2011-03-03 I. Hafalir , R. Ravi , A. Sayedi

Since economic mechanisms are often applied to very different instances of the same problem, it is desirable to identify mechanisms that work well in a wide range of circumstances. We pursue this goal for a position auction setting and…

Computer Science and Game Theory · Computer Science 2013-07-22 Paul Duetting , Felix Fischer , David C. Parkes

Consider the problem of allocating goods to buyers through an auction. An auction is efficient if the resulting allocation maximizes total welfare, conditional on the information available. If buyers have private values, the…

Computer Science and Game Theory · Computer Science 2018-05-23 Andrei Ciupan

In digital goods auctions, there is an auctioneer who sells an item with unlimited supply to a set of potential buyers, and the objective is to design truthful auction to maximize the total profit of the auctioneer. Motivated from an…

Computer Science and Game Theory · Computer Science 2011-07-27 Nick Gravin , Pinyan Lu

We consider a revenue optimizing seller selling a single item to a buyer, on whose private value the seller has a noisy signal. We show that, when the signal is kept private, arbitrarily more revenue could potentially be extracted than if…

Computer Science and Game Theory · Computer Science 2017-07-20 Hu Fu , Chris Liaw , Pinyan Lu , Zhihao Gavin Tang

Combinatorial auctions are used to allocate resources in domains where bidders have complex preferences over bundles of goods. However, the behavior of bidders under different payment rules is not well understood, and there has been limited…

Computer Science and Game Theory · Computer Science 2022-06-09 Vitor Bosshard , Ye Wang , Sven Seuken

Motivated by recent research on combinatorial markets with endowed valuations by (Babaioff et al., EC 2018) and (Ezra et al., EC 2020), we introduce a notion of perturbation stability in Combinatorial Auctions (CAs) and study the extend to…

Computer Science and Game Theory · Computer Science 2023-09-06 Giannis Fikioris , Dimitris Fotakis

Finding optimal solutions for multi-unit combinatorial auctions is a hard problem and finding approximations to the optimal solution is also hard. We investigate the use of Branch-and-Bound techniques: they require both a way to bound from…

Computer Science and Game Theory · Computer Science 2007-05-23 Rica Gonen , Daniel Lehmann

We advance empirical equilibrium analysis (Velez and Brown, 2020, arXiv:1907.12408) of the winner-bid and loser-bid auctions for the dissolution of a partnership. We show, in a complete information environment, that even though these…

Theoretical Economics · Economics 2020-07-15 Rodrigo A. Velez , Alexander L. Brown

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

This paper studies equilibrium quality of semi-separable position auctions (known as the Ad Types setting) with greedy or optimal allocation combined with generalized second-price (GSP) or Vickrey-Clarke-Groves (VCG) pricing. We make three…

Computer Science and Game Theory · Computer Science 2021-03-11 Hadi Elzayn , Riccardo Colini-Baldeschi , Brian Lan , Okke Schrijvers