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Algorithm for optimal winner determination in combinatorial auctions

Tuomas Sandholm
- 01 Feb 2002 - 
- Vol. 135, Iss: 1, pp 1-54
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TLDR
The algorithm allows combinatorial auctions to scale up to significantly larger numbers of items and bids than prior approaches to optimal winner determination by capitalizing on the fact that the space of bids is sparsely populated in practice.
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This article is published in Artificial Intelligence.The article was published on 2002-02-01 and is currently open access. It has received 1045 citations till now. The article focuses on the topics: Combinatorial auction & Common value auction.

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Citations
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Comparing Multiagent Systems Research in Combinatorial Auctions and Voting.

TL;DR: A convenient side-by-side comparison is given that will clarify the relation between the domains combinatorial auction and voting, and serve as a guide to future research.
Proceedings Article

Weighted super solutions for constraint programs

TL;DR: This paper presents the weighted super solution framework that involves two important extensions: the set of variables that may lose their values is determined using a probabilistic approach enabling us to find repair solutions for assignments that are most likely to fail and a mechanism for reasoning about the cost of repair.
Journal ArticleDOI

Design issues for combinatorial auctions

TL;DR: This paper discusses several complex issues related to the formulation of the winner determination problem, the expression of combined bids, the design of progressive combinatorial auctions that require less information revelation, and the need for decision support tools to help participants make profitable bidding decisions.
Proceedings Article

On the complexity of compact coalitional games

TL;DR: A significantly complete account of the complexity underlying the computation of relevant solution concepts in compact coalitional games is provided, and new insights are provided on this setting by stating a number of complexity results about some relevant generalizations and specializations.
Journal ArticleDOI

Online Set Packing

TL;DR: This work presents a randomized competitive online algorithm for the weighted case with general capacity (namely, where sets may have different values, and elements arrive with different multiplicities), and proves a matching lower bound on the competitive ratio for any randomized online algorithm.
References
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Book

Introduction to Algorithms

TL;DR: The updated new edition of the classic Introduction to Algorithms is intended primarily for use in undergraduate or graduate courses in algorithms or data structures and presents a rich variety of algorithms and covers them in considerable depth while making their design and analysis accessible to all levels of readers.
Book ChapterDOI

Reducibility Among Combinatorial Problems

TL;DR: The work of Dantzig, Fulkerson, Hoffman, Edmonds, Lawler and other pioneers on network flows, matching and matroids acquainted me with the elegant and efficient algorithms that were sometimes possible.
Book

Integer programming

TL;DR: The principles of integer programming are directed toward finding solutions to problems from the fields of economic planning, engineering design, and combinatorial optimization as mentioned in this paper, which is a standard of graduate-level courses since 1972.
Journal ArticleDOI

Incentives in Teams

Theodore Groves
- 01 Jul 1973 - 
TL;DR: This paper analyzes the problem of inducing the members of an organization to behave as if they formed a team and exhibits a particular set of compensation rules, an optimal incentive structure, that leads to team behavior.