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Open AccessJournal ArticleDOI

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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Journal ArticleDOI

The Submodular Welfare Problem with Demand Queries

Uriel Feige, +1 more
- 09 Dec 2010 - 
TL;DR: It is shown that the Submodular Welfare Problem is NP -hard to approximate within a ratio better than some r < 1, and an incentive compatible mechanism based on fair division queries that achieves an optimal solution is presented.
Book ChapterDOI

Auctions with budget constraints

TL;DR: This paper presents exact and approximate algorithms for auctions with budget constraints, and presents a randomized algorithm with an approximation ratio of \(\frac{e}{e-1}\cong\) 1.582, which can be derandomized.
Book ChapterDOI

Coalition structure generation utilizing compact characteristic function representations

TL;DR: This paper presents a new way of formalizing the Coalition Structure Generation problem (CSG), so that it can be applied constraint optimization techniques to it, and develops mixed integer programming formulations and shows that an off-the-shelf optimization package can perform reasonably well.

Improved Exact Solver for the Weighted MAX-SAT Problem.

TL;DR: A propagation algorithm is proposed which improves the detection of disjoint inconsistent subformulas compared to algorithms previously used in Max-SAT solvers and a lazy deletion data structure is developed for the solver which speeds up lower bound calculation on instances with a high clauses-to-variables ratio.
Proceedings Article

Preference elicitation and query learning

TL;DR: In this work, a number of similarities and differences between preference elicitation and query learning are proved, giving both separation results and proving some connections between these problems.
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.