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I Mechanisms 15 1 The Lovely but Lonely Vickrey Auction 17 Lawrence M. Ausubel and Paul Milgrom 2 Iterative Combinatorial Auctions 41 David C. Parkes 3 Ascending Proxy Auctions 79 Lawrence M. Ausubel and Paul Milgrom 4 Simultaneous Ascending Auctions 99 Peter Cramton 5 The Clock-Proxy Auction: A Practical Combinatorial Auction Design 115 Lawrence M. Ausubel, Peter Cramton, and Paul Milgrom 6 PAUSE: A Computationally Tractable Combinatorial Auction 139 Ailsa Land, Susan Powell, and Richard Steinberg II Bidding and Efficiency 159 7 Pseudonymous Bidding in Combinatorial Auctions 161 Makoto Yokoo 8 From the Assignment Model to Combinatorial Auctions 189 Sushil Bikhchandani and Joseph M. Ostroy 9 Bidding Languages for Combinatorial Auctions 215 Noam Nisan 10 Preference Elicitation in Combinatorial Auctions 233 Tuomas Sandholm and Craig Boutilier 11 The Communication Requirements of Combinatorial Allocation Problems 265 Ilya Segal III Complexity and Algorithmic Considerations 295 12 The Winner Determination Problem 297 Daniel Lehmann, Rudolf Miller, and Tuomas Sandholm 13 Tractable Cases of the Winner Determination Problem 319 Rudolf Miiller 14 Optimal Winner Determination Algorithms 337 Tuomas Sandholm 15 Incentive Compatibility in Computationally Feasible Combinatorial Auctions 369 Amir Ronen 16 Noncomputational Approaches to Mitigating Computational Problems in Combinatorial Auctions 395 Aleksandar Peke& and Michael H. Rothkopf IV Testing and Implementation 413 17 Observations and Near-Direct Implementations of the Ascending Proxy Auction 415 Karla Hoffman, Dinesh Menon, Susara van den Heever, and Thomas Wilson 18 A Test Suite for Combinatorial Auctions 451 Kevin Leyton-Brown and Yoav Shoham 19 Empirical Hardness Models for Combinatorial Auctions 479 Kevin Leyton-Brown, Eugene Nudelman, and Yoav Shoham V Applications 505 20 Auctions for the Safe, Efficient, and Equitable Allocation of Airspace System Resources 507 Michael O. Ball, George L. Donohue, and Karla Hoffman 21 Combinatorial Auctions for Truckload Transportation 539 Chris Caplice and Yossi Sheffi 22 Auctioning Bus Routes: The London Experience 573 Estelle Cantillon and Martin Pesendorfer 23 Industrial Procurement Auctions 593 Martin Bichler, Andrew Davenport, Gail Hohner, and Jayant Kalagnanam