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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 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

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

This paper investigates reverse auctions that involve continuous values of different types of goods, general nonconvex constraints, and second stage costs. We seek to design the payment rules and conditions under which coalitions of…

Computer Science and Game Theory · Computer Science 2021-07-14 Orcun Karaca , Pier Giuseppe Sessa , Neil Walton , Maryam Kamgarpour

Many network resource allocation problems can be viewed as allocating a divisible resource, where the allocations are constrained to lie in a polymatroid. We consider market-based mechanisms for such problems. Though the…

Computer Science and Game Theory · Computer Science 2019-04-29 Hao Ge , Randall Berry

To address the exponentially increasing data rate demands of end users, necessitates efficient spectrum allocation among co-existing operators in licensed and unlicensed spectrum bands to cater to the temporal and spatial variations of…

Computer Science and Game Theory · Computer Science 2020-01-22 Indu Yadav , Ankur A. Kulkarni , Abhay Karandikar

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 study revenue maximization in settings where agents' values are interdependent: each agent receives a signal drawn from a correlated distribution and agents' values are functions of all of the signals. We introduce a variant of the…

Computer Science and Game Theory · Computer Science 2014-08-20 Shuchi Chawla , Hu Fu , Anna Karlin

Standard ad auction formats do not immediately extend to settings where multiple size configurations and layouts are available to advertisers. In these settings, the sale of web advertising space increasingly resembles a combinatorial…

Computer Science and Game Theory · Computer Science 2020-11-10 Rad Niazadeh , Jason Hartline , Nicole Immorlica , Mohammad Reza Khani , Brendan Lucier

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

Two general algorithms based on opportunity costs are given for approximating a revenue-maximizing set of bids an auctioneer should accept, in a combinatorial auction in which each bidder offers a price for some subset of the available…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Karhan Akcoglu , James Aspnes , Bhaskar DasGupta , Ming-Yang Kao

The enduring value of the Vickrey-Clarke-Groves (VCG) mechanism has been highlighted due to its adoption by Facebook ad auctions. Our research delves into its utility in the collaborative virtual goods production (CVGP) game, which finds…

Computer Science and Game Theory · Computer Science 2024-06-18 Mingshu Cong , Han Yu , Xi Weng , Jiabao Qu , Yang Liu , Siu Ming Yiu

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

To address the demand of exponentially increasing end users efficient use of limited spectrum is a necessity. For this, spectrum allocation among co-existing operators in licensed and unlicensed spectrum band is required to cater to the…

Computer Science and Game Theory · Computer Science 2018-12-04 Indu Yadav , Ankur A. Kulkarni , Abhay Karandikar

We study optimal auction design in an independent private values environment where bidders can endogenously -- but at a cost -- improve information about their own valuations. The optimal mechanism is two-stage: at stage-1 bidders register…

Theoretical Economics · Economics 2025-12-09 Kemal Ozbek

VCG is a classical combinatorial auction that maximizes social welfare. However, while the standard single-item Vickrey auction is false-name-proof, a major failure of multi-item VCG is its vulnerability to false-name attacks. This occurs…

Computer Science and Game Theory · Computer Science 2021-06-29 Yotam Gafni , Ron Lavi , Moshe Tennenholtz

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

In this paper we propose a mechanism for the allocation of pipeline capacities, assuming that the participants bidding for capacities do have subjective evaluation of various network routes. The proposed mechanism is based on the concept of…

Theoretical Economics · Economics 2023-08-22 Dávid Csercsik

Control reserves are power generation or consumption entities that ensure balance of supply and demand of electricity in real-time. In many countries, they are operated through a market mechanism in which entities provide bids. The system…

Computer Science and Game Theory · Computer Science 2016-11-22 Pier Giuseppe Sessa , Neil Walton , Maryam Kamgarpour

We discuss the expected minimum cost of rainbow spanning trees and Hamilton cycles in randomly edge colored random graphs.

Combinatorics · Mathematics 2025-12-16 Patrick Bennett , Quentin Dubroff , Alan Frieze , Wesley Pegden
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