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In the standard single-dimensional model of position auctions, bidders agree on the relative values of the positions and each of them submits a single bid that is interpreted in terms of these values. Motivated by current practice in…

Computer Science and Game Theory · Computer Science 2018-06-22 Paul Dütting , Felix Fischer , David C. Parkes

A major achievement of mechanism design theory is a general method for the construction of truthful mechanisms called VCG (Vickrey, Clarke, Groves). When applying this method to complex problems such as combinatorial auctions, a difficulty…

Computer Science and Game Theory · Computer Science 2011-10-04 N. Nisan , A. Ronen

The Vickrey-Clarke-Groves (VCG) mechanism is infamously revenue non-monotone in combinatorial auctions. I.e., when a buyer increases their value for a bundle of items, the total auction revenue may decrease. Combinatorial auctions exhibit…

Theoretical Economics · Economics 2026-02-25 Jason Hartline

We consider auctions in which the players have very limited knowledge about their own valuations. Specifically, the only information that a Knightian player $i$ has about the profile of true valuations, $\theta^*$, consists of a set of…

Computer Science and Game Theory · Computer Science 2014-03-26 Alessandro Chiesa , Silvio Micali , Zeyuan Allen Zhu

We provide a reduction from revenue maximization to welfare maximization in multi-dimensional Bayesian auctions with arbitrary (possibly combinatorial) feasibility constraints and independent bidders with arbitrary (possibly combinatorial)…

Computer Science and Game Theory · Computer Science 2012-07-25 Yang Cai , Constantinos Daskalakis , S. Matthew Weinberg

Existing auction mechanisms are vulnerable to bidder collusion, which substantially degrades revenue and non-colluder welfare. To design truthful mechanisms resilient to collusion, we introduce a novel approach that leverages a machine…

Computer Science and Game Theory · Computer Science 2026-05-11 Sukanya Kudva , Edward Dowling , Anil Aswani

Building on the linear programming approach to competitive equilibrium pricing, we develop a general method for constructing iterative auctions that achieve Vickrey-Clarke-Groves (VCG) outcomes. We show how to transform a linear program…

Computer Science and Game Theory · Computer Science 2025-07-08 Sébastien Lahaie , Benjamin Lubin

The focus of classic mechanism design has been on truthful direct-revelation mechanisms. In the context of combinatorial auctions the truthful direct-revelation mechanism that maximizes social welfare is the VCG mechanism. For many…

Computer Science and Game Theory · Computer Science 2013-10-14 Paul Duetting , Monika Henzinger , Martin Starnberger

We study a class of manipulations in combinatorial auctions where bidders fundamentally misrepresent what goods they are interested in. Prior work has largely assumed that bidders only submit bids on their bundles of interest, which we call…

Computer Science and Game Theory · Computer Science 2021-09-13 Vitor Bosshard , Sven Seuken

With the growth of networks, promoting products through social networks has become an important problem. For auctions in social networks, items are needed to be sold to agents in a network, where each agent can bid and also diffuse the sale…

Computer Science and Game Theory · Computer Science 2023-08-03 Mingyu Xiao , Guixin Lin , Bakh Khoussainov , Yuchao Song

We study signaling in Bayesian ad auctions, in which bidders' valuations depend on a random, unknown state of nature. The auction mechanism has complete knowledge of the actual state of nature, and it can send signals to bidders so as to…

Computer Science and Game Theory · Computer Science 2022-01-25 Francesco Bacchiocchi , Matteo Castiglioni , Alberto Marchesi , Giulia Romano , Nicola Gatti

We study the problem of finding personalized reserve prices for unit-demand buyers in multi-unit eager VCG auctions with correlated buyers. The input to this problem is a dataset of submitted bids of $n$ buyers in a set of auctions. The…

Computer Science and Game Theory · Computer Science 2020-07-27 Mahsa Derakhshan , David M. Pennock , Aleksandrs Slivkins

This paper analyzes individually-rational ex post equilibrium in the VC (Vickrey-Clarke) combinatorial auctions. If $\Sigma$ is a family of bundles of goods, the organizer may restrict the participants by requiring them to submit their bids…

Computer Science and Game Theory · Computer Science 2007-05-23 Ron Holzman , Noa Kfir-Dahav , Dov Monderer , Moshe Tennenholtz

In a single-parameter mechanism design problem, a provider is looking to sell a service to a group of potential buyers. Each buyer $i$ has a private value $v_i$ for receiving the service and a feasibility constraint restricts which sets of…

Computer Science and Game Theory · Computer Science 2022-02-21 Michal Feldman , Vasilis Gkatzelis , Nick Gravin , Daniel Schoepflin

Device-to-Device communication allows a cellular user (relay node) to relay data between the base station (BS) and another cellular user (destination node). We address the problem of designing reverse auctions to assign a relay node to each…

Computer Science and Game Theory · Computer Science 2019-06-04 Aditya MVS , Harsh Pancholi , Priyanka P. , Gaurav S. Kasbekar

We study cardinal auctions for selling multiple copies of a good, in which bidders specify not only their bid or how much they are ready to pay for the good, but also a cardinality constraint on the number of copies that will be sold via…

Computer Science and Game Theory · Computer Science 2012-05-15 Mangesh Gupte , Darja Krushevskaja , S. Muthukrishnan

In recent years, the growing adoption of autobidding has motivated the study of auction design with value-maximizing auto-bidders. It is known that under mild assumptions, uniform bid-scaling is an optimal bidding strategy in truthful…

Computer Science and Game Theory · Computer Science 2023-11-20 Yuan Deng , Jieming Mao , Vahab Mirrokni , Yifeng Teng , Song Zuo

The existence of incentive-compatible computationally-efficient protocols for combinatorial auctions with decent approximation ratios is the paradigmatic problem in computational mechanism design. It is believed that in many cases good…

Computer Science and Game Theory · Computer Science 2009-05-14 Elchanan Mossel , Christos Papadimitriou , Michael Schapira , Yaron Singer

We present our results on Uniform Price Auctions, one of the standard sealed-bid multi-unit auction formats, for selling multiple identical units of a single good to multi-demand bidders. Contrary to the truthful and economically efficient…

Computer Science and Game Theory · Computer Science 2013-06-20 Evangelos Markakis , Orestis Telelis

This paper studies multi-unit auctions powered by intermediaries, where each intermediary owns a private set of unit-demand buyers and all intermediaries are networked with each other. Our goal is to incentivize the intermediaries to…

Computer Science and Game Theory · Computer Science 2022-03-16 Bin Li , Dong Hao , Dengji Zhao
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