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Multi-Unit Auctions: A Survey of Theoretical Literature

Author

Listed:
  • Cumpston, Anne
  • Khezr, Peyman

Abstract

This article aims to provide a comprehensive survey of the theoretical research on multi-unit auctions to help identify the gap in this literature. Multi-unit auctions have been extensively used in practise and account for significant amount of transactions in some real-world markets. However, the theoretical research on these auctions has attract less attention compared to single unit auctions. The focus of this article is on those research that study multi-unit auctions for the sale of multiple units of homogeneous objects to potential buyers with more than one unit demand. The articles are categorized based on the assumptions of their models regarding bidders' values and the type of auction. Further the gap in this literature is identified with those areas that require further theoretical research.

Suggested Citation

  • Cumpston, Anne & Khezr, Peyman, 2020. "Multi-Unit Auctions: A Survey of Theoretical Literature," MPRA Paper 101336, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:101336
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    References listed on IDEAS

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    1. Richard Engelbrecht-Wiggans & Charles M. Kahn, 1998. "Multi-unit auctions with uniform prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 227-258.
    2. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
    3. Lawrence M. Ausubel & Peter Cramton & Marek Pycia & Marzena Rostek & Marek Weretka, 2014. "Demand Reduction and Inefficiency in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1366-1400.
    4. Benjamin Edelman & Michael Ostrovsky & Michael Schwarz, 2007. "Internet Advertising and the Generalized Second-Price Auction: Selling Billions of Dollars Worth of Keywords," American Economic Review, American Economic Association, vol. 97(1), pages 242-259, March.
    5. Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-286, July.
    6. Marco Pagnozzi, 2010. "Are Speculators Unwelcome in Multi-object Auctions?," American Economic Journal: Microeconomics, American Economic Association, vol. 2(2), pages 97-131, May.
    7. Damianov, Damian S., 2005. "Erratum to "The uniform price auction with endogenous supply" [Econ. Lett. 88 (2005) 152-158]," Economics Letters, Elsevier, vol. 89(1), pages 133-133, October.
    8. Bresky, Michal, 2013. "Revenue and efficiency in multi-unit uniform-price auctions," Games and Economic Behavior, Elsevier, vol. 82(C), pages 205-217.
    9. Pagnozzi, Marco, 2009. "Resale and bundling in auctions," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 667-678, November.
    10. Jaime F. Zender & James J.D. Wang, 2002. "Auctioning divisible goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 673-705.
    11. LiCalzi, Marco & Pavan, Alessandro, 2005. "Tilting the supply schedule to enhance competition in uniform-price auctions," European Economic Review, Elsevier, vol. 49(1), pages 227-250, January.
    12. Khezr, Peyman & Menezes, Flavio M., 2017. "A new characterization of equilibrium in multiple-object uniform-price auctions," Economics Letters, Elsevier, vol. 157(C), pages 53-55.
    13. Anwar Ahmed W, 2007. "Equilibria in Multi-Unit Discriminatory Auctions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-18, January.
    14. Anthony M. Kwasnica & Katerina Sherstyuk, 2013. "Multiunit Auctions," Journal of Economic Surveys, Wiley Blackwell, vol. 27(3), pages 461-490, July.
    15. McAdams, David, 2007. "Adjustable supply in uniform price auctions: Non-commitment as a strategic tool," Economics Letters, Elsevier, vol. 95(1), pages 48-53, April.
    16. Back, Kerry & Zender, Jaime F., 2001. "Auctions of divisible goods with endogenous supply," Economics Letters, Elsevier, vol. 73(1), pages 29-34, October.
    17. Kjell G. Nyborg, 2004. "Multiple Unit Auctions and Short Squeezes," The Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 545-580.
    18. Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 974-1014.
    19. Lawrence M. Ausubel & Peter Cramton, 2004. "Auctioning Many Divisible Goods," Journal of the European Economic Association, MIT Press, vol. 2(2-3), pages 480-493, 04/05.
    20. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    21. David McAdams, 2006. "Monotone Equilibrium in Multi-Unit Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1039-1056.
    22. Peyman Khezr & Flavio M. Menezes, 2020. "A semi-uniform-price auction for multiple objects," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 139-148, April.
    23. Motty Perry & Philip J. Reny, 2005. "An Efficient Multi-Unit Ascending Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(2), pages 567-592.
    24. Edward J. Anderson & Pär Holmberg & Andrew B. Philpott, 2013. "Mixed strategies in discriminatory divisible-good auctions," RAND Journal of Economics, RAND Corporation, vol. 44(1), pages 1-32, March.
    25. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    26. Lawrence M. Ausubel, 2004. "An Efficient Ascending-Bid Auction for Multiple Objects," American Economic Review, American Economic Association, vol. 94(5), pages 1452-1475, December.
    27. John McMillan, 1994. "Selling Spectrum Rights," Journal of Economic Perspectives, American Economic Association, vol. 8(3), pages 145-162, Summer.
    28. Klemperer, Paul, 1999. " Auction Theory: A Guide to the Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 13(3), pages 227-86, July.
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    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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