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An Efficient and Incentive Compatible Dynamic Auction for Multiple Complements

Listed author(s):
  • Ning Sun
  • Zaifu Yang
Registered author(s):

    This article proposes an efficient and incentive compatible dynamic auction for selling multiple complementary goods to finitely many bidders. The goods are traded in discrete quantities. The seller has a reserve price for every bundle of goods and determines which bundles to sell based on prevailing prices. The auctioneer announces a current price for every bundle of goods and a supply set of goods, every bidder subsequently responds with a set of goods demanded at these prices, and then the auctioneer adjusts prices. We prove that even when bidders can exercise their market power strategically, this dynamic auction always induces them to bid truthfully as price-takers, resulting in an efficient allocation, its supporting Walrasian equilibrium price for every bundle of goods, and a generalized Vickrey-Clarke-Groves payment for every bidder.

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    File URL: https://www.york.ac.uk/media/economics/documents/discussionpapers/2014/1406.pdf
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    Paper provided by Department of Economics, University of York in its series Discussion Papers with number 14/06.

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    Date of creation: May 2014
    Handle: RePEc:yor:yorken:14/06
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    Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom

    Phone: (0)1904 323776
    Web page: https://www.york.ac.uk/economics/
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    1. Ning Sun & Zaifu Yang, 2009. "A Double-Track Adjustment Process for Discrete Markets With Substitutes and Complements," Econometrica, Econometric Society, vol. 77(3), pages 933-952, 05.
    2. Bevia, Carmen & Quinzii, Martine & Silva, Jose A., 1999. "Buying several indivisible goods," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 1-23, January.
    3. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
    4. Ausubel Lawrence M & Milgrom Paul R, 2002. "Ascending Auctions with Package Bidding," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-44, August.
    5. Paul Milgrom, 2007. "Package Auctions and Exchanges," Econometrica, Econometric Society, vol. 75(4), pages 935-965, 07.
    6. Cremer, Jacques & McLean, Richard P, 1985. "Optimal Selling Strategies under Uncertainty for a Discriminating Monopolist When Demands Are Interdependent," Econometrica, Econometric Society, vol. 53(2), pages 345-361, March.
    7. Paul Klemperer, 2004. "Auctions: Theory and Practice," Online economics textbooks, SUNY-Oswego, Department of Economics, number auction1.
    8. Erdil, Aytek & Klemperer, Paul, 2009. "A New Payment Rule for Core-Selecting Package Auctions," CEPR Discussion Papers 7487, C.E.P.R. Discussion Papers.
    9. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February.
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    12. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    14. repec:oxf:wpaper:2004-w09 is not listed on IDEAS
    15. Milgrom,Paul, 2004. "Putting Auction Theory to Work," Cambridge Books, Cambridge University Press, number 9780521551847, October.
    16. Makowski, Louis, 1979. "Value theory with personalized trading," Journal of Economic Theory, Elsevier, vol. 20(2), pages 194-212, April.
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    18. Bikhchandani, Sushil & Ostroy, Joseph M., 2002. "The Package Assignment Model," Journal of Economic Theory, Elsevier, vol. 107(2), pages 377-406, December.
    19. Robert Day & Paul Milgrom, 2008. "Core-selecting package auctions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 393-407, March.
    20. Levin, Jonathan, 1997. "An Optimal Auction for Complements," Games and Economic Behavior, Elsevier, vol. 18(2), pages 176-192, February.
    21. Lawrence Ausubel & Peter Cramton, 2004. "Vickrey auctions with reserve pricing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 493-505, March.
    22. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
    23. Paul Klemperer, 2004. "Introduction to Auctions: Theory and Practice," Introductory Chapters, in: Auctions: Theory and Practice Princeton University Press.
    24. S.J. Rassenti & V.L. Smith & R.L. Bulfin, 1982. "A Combinatorial Auction Mechanism for Airport Time Slot Allocation," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 402-417, Autumn.
    25. Hurwicz, Leonid, 1973. "The Design of Mechanisms for Resource Allocation," American Economic Review, American Economic Association, vol. 63(2), pages 1-30, May.
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