STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
A threshold of ln n for approximating set cover
Journal of the ACM (JACM)
Computationally Manageable Combinational Auctions
Management Science
Algorithmic mechanism design (extended abstract)
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
Bidding and allocation in combinatorial auctions
Proceedings of the 2nd ACM conference on Electronic commerce
AkBA: a progressive, anonymous-price combinatorial auction
Proceedings of the 2nd ACM conference on Electronic commerce
Towards a universal test suite for combinatorial auction algorithms
Proceedings of the 2nd ACM conference on Electronic commerce
Algorithms, games, and the internet
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Algorithm for optimal winner determination in combinatorial auctions
Artificial Intelligence
Winner determination in combinatorial auction generalizations
Proceedings of the first international joint conference on Autonomous agents and multiagent systems: part 1
Truth revelation in approximately efficient combinatorial auctions
Journal of the ACM (JACM)
Sequential Auctions for the Allocation of Resources with Complementarities
IJCAI '99 Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence
Iterative combinatorial auctions: achieving economic and computational efficiency
Iterative combinatorial auctions: achieving economic and computational efficiency
Combinatorial Auctions: A Survey
INFORMS Journal on Computing
A Smart Market for Industrial Procurement with Capacity Constraints
Management Science
Economic mechanism design for computerized agents
WOEC'95 Proceedings of the 1st conference on USENIX Workshop on Electronic Commerce - Volume 1
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The combinatorial auction problem can be modeled as a weighted set packing problem. Similarly the reverse combinatorial auction can be modeled as a weighted set covering problem. We use the set packing and set covering formulations to suggest novel iterative Dutch auction algorithms for combinatorial auction problems. We use generalized Vickrey auctions (GVA) with reserve prices in each iteration. We prove the convergence of the algorithms and show that the solutions obtained using the algorithms lie within provable worst case bounds. We conduct numerical experiments to show that in general the solutions obtained using these algorithms are much better than the theoretical bounds.