TOYOTA AI SEMINAR SERIES Department of Electrical Engineering and Computer Science Stained-Glass Conference Room (3725 CSE) 4:00 - 5:30 PM Tuesday, October 24, 2006 Using Mathematical Programming to Make VCG Auctions Tractable by Amy Cohn Assistant Professor, Industrial and Operations Engineering Abstract: Combinatorial auctions are very useful in theory but their applicability in practice is limited by the need for bidders to bid on an exponential number of bundles and the auctioneer to solve an exponentially large winner-determination problem. We seek to eliminate these challenges for a broad class of VCG combinatorial auctions by exploiting the fact that true-cost bidding is a dominant strategy in these auctions. Our proposed mechanism eliminates the need for explicit bidding on each bundle, instead using mathematical programming to implicitly capture all bids via the bidder's true-cost function. Likewise, the auctioneer's winner-determination problem can be simplified significantly. We use the problem of truckload-procurement auctions as a means to demonstrate our approach. This is joint work with Professors Amitabh Sinha and Damian Beil of the Ross School of Business, and Richard Chen and Shervin AhmadBeygi of the Department of Industrial and Operations Engineering. Bio: Amy Cohn is an Assistant Professor in the Department of Industrial and Operations Engineering. She obtained her Ph.D. in Operations Research from the Massachusetts Institute of Technology. Her research emphasis is on solving applied problems in large-scale combinatorial optimization, primarily in the domains of transportation and logistics. She is currently a Sloan Industry Studies Fellow, studying the impact of delay propagation on passenger airline plans.