Deferred-acceptance auctions are mechanisms whose allocation rule can be implemented using an adaptive reverse greedy algorithm. Milgrom and Segal recently introduced these auctions and proved that they satisfy remarkable incentive guarantees: in addition to being dominant strategy and incentive compatible, they are weakly group-strategyproof and can be implemented by ascending-clock auctions. Neither forward greedy mechanisms nor the VCG mechanism generally possess any of these additional incentive properties. The goal of this paper is to initiate the study of deferred-acceptance auctions from an approximation standpoint. We study what fraction of the optimal social welfare can be guaranteed by these auctions in two canonical problems, knapsack auctions and combinatorial auctions with single-minded bidders. For knapsack auctions, we prove a separation between deferred-acceptance auctions and arbitrary dominant-strategy incentive-compatible mechanisms. For combinatorial auctions with single-minded bidders, we design novel polynomial-time mechanisms that achieve the best of both worlds: the incentive guarantees of a deferred-acceptance auction, and approximation guarantees close to the best possible.
Paul Dutting - London Sch Econ, Dept Math, London WC2A 2AE, England
Vasilis Gkatzelis - Drexel University
Tim Roughgarden - Stanford Univ, Dept Comp Sci, Stanford, CA 94305 USA
Publication Details
Mathematics of operations research, v 42(4), pp 897-914
Publisher
Informs
Number of pages
18
Grant note
Swiss National Science Foundation; Swiss National Science Foundation (SNSF); European Commission
Office of Naval Research PECASE; Office of Naval Research
CCF-1016885; CCF-1215965 / National Science Foundation; National Science Foundation (NSF)
Resource Type
Journal article
Language
English
Academic Unit
Computer Science
Web of Science ID
WOS:000414320800001
Scopus ID
2-s2.0-85032884697
Other Identifier
991019302290704721
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