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Multi-Unit Auctions with Uncertain Supply and Single-Unit Demand

Author

Listed:
  • Anderson, Edward

    (University of Sydney Business School, Australia, and Imperial College Business School)

  • Holmberg, Pär

    (Research Institute of Industrial Economics (IFN))

Abstract
We study multi-unit auctions where bidders have single-unit demand and asymmetric information. For symmetric equilibria, we identify circumstances where uniform-pricing is better for the auctioneer than pay-as-bid pricing, and where transparency improves the revenue of the auctioneer. An issue with the uniform-price auction is that seemingly collusive equilibria can exist. We show that such outcomes are less likely if the traded volume of the auctioneer is uncertain. But if bidders are asymmetric ex-ante, then both a price floor and a price cap are normally needed to get a unique equilibrium, which is well behaved.

Suggested Citation

  • Anderson, Edward & Holmberg, Pär, 2023. "Multi-Unit Auctions with Uncertain Supply and Single-Unit Demand," Working Paper Series 1460, Research Institute of Industrial Economics.
    • Handle: RePEc:hhs:iuiwop:1460
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    References listed on IDEAS

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    1. Frank A. Wolak, 2007. "Quantifying the supply-side benefits from forward contracting in wholesale electricity markets," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(7), pages 1179-1209.
    2. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, April.
    3. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.
    4. Pär Holmberg, 2009. "Supply function equilibria of pay-as-bid auctions," Journal of Regulatory Economics, Springer, vol. 36(2), pages 154-177, October.
    5. Maskin, Eric & Riley, John, 2003. "Uniqueness of equilibrium in sealed high-bid auctions," Games and Economic Behavior, Elsevier, vol. 45(2), pages 395-409, November.
    6. Bikhchandani, Sushil & Riley, John G., 1991. "Equilibria in open common value auctions," Journal of Economic Theory, Elsevier, vol. 53(1), pages 101-130, February.
    7. Elmes Susan & Reny Philip J., 1994. "On the Strategic Equivalence of Extensive Form Games," Journal of Economic Theory, Elsevier, vol. 62(1), pages 1-23, February.
    8. 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.
    9. Stephen G. Donald & Harry J. Paarsch & Jacques Robert, 2006. "An empirical model of the multi‐unit, sequential, clock auction," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(8), pages 1221-1247, December.
    10. 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.
    11. Natalia Fabra & Gerard Llobet, 2023. "Auctions with Privately Known Capacities: Understanding Competition Among Renewables," The Economic Journal, Royal Economic Society, vol. 133(651), pages 1106-1146.
    12. Motty Perry & Philip J. Reny, 1999. "On The Failure of the Linkage Principle in Multi-Unit Auctions," Econometrica, Econometric Society, vol. 67(4), pages 895-900, July.
    13. Nils-Henrik M. von der Fehr, 2013. "Transparency in Electricity Markets," Economics of Energy & Environmental Policy, International Association for Energy Economics, vol. 0(Number 2).
    14. Anderson, Edward & Holmberg, Pär, 2018. "Price instability in multi-unit auctions," Journal of Economic Theory, Elsevier, vol. 175(C), pages 318-341.
    15. von der Fehr, Nils-Henrik Morch & Harbord, David, 1993. "Spot Market Competition in the UK Electricity Industry," Economic Journal, Royal Economic Society, vol. 103(418), pages 531-546, May.
    16. Erwann SbaÏ & Olivier Armantier, 2006. "Estimation and comparison of treasury auction formats when bidders are asymmetric," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 745-779.
    17. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
    18. Holmberg, Par, 2008. "Unique supply function equilibrium with capacity constraints," Energy Economics, Elsevier, vol. 30(1), pages 148-172, January.
    19. Xavier Vives, 2010. "Asset Auctions, Information, and Liquidity," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 467-477, 04-05.
    20. Brenner, Menachem & Galai, Dan & Sade, Orly, 2009. "Sovereign debt auctions: Uniform or discriminatory?," Journal of Monetary Economics, Elsevier, vol. 56(2), pages 267-274, March.
    21. Green, Richard J & Newbery, David M, 1992. "Competition in the British Electricity Spot Market," Journal of Political Economy, University of Chicago Press, vol. 100(5), pages 929-953, October.
    22. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    23. Sebastian Schwenen, 2015. "Strategic bidding in multi-unit auctions with capacity constrained bidders: the New York capacity market," RAND Journal of Economics, RAND Corporation, vol. 46(4), pages 730-750, October.
    24. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2013. "Supply function equilibria: Step functions and continuous representations," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1509-1551.
    25. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    26. Olivier Armantier & Erwann Sbaï, 2009. "Comparison of Alternative Payment Mechanisms for French Treasury Auctions," Annals of Economics and Statistics, GENES, issue 93-94, pages 109-133.
    27. Edward J. Anderson & Xinmin Hu, 2008. "Finding Supply Function Equilibria with Asymmetric Firms," Operations Research, INFORMS, vol. 56(3), pages 697-711, June.
    28. repec:adr:anecst:y:2009:i:93-94:p:06 is not listed on IDEAS
    29. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    30. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
    31. Morris, Stephen & Ui, Takashi, 2004. "Best response equivalence," Games and Economic Behavior, Elsevier, vol. 49(2), pages 260-287, November.
    32. 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.
    33. 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.
    34. David McAdams, 2003. "Isotone Equilibrium in Games of Incomplete Information," Econometrica, Econometric Society, vol. 71(4), pages 1191-1214, July.
    35. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    36. Ali Hortaçsu & David McAdams, 2010. "Mechanism Choice and Strategic Bidding in Divisible Good Auctions: An Empirical Analysis of the Turkish Treasury Auction Market," Journal of Political Economy, University of Chicago Press, vol. 118(5), pages 833-865.
    37. Boo‐Sung Kang & Steven L. Puller, 2008. "The Effect Of Auction Format On Efficiency And Revenue In Divisible Goods Auctions: A Test Using Korean Treasury Auctions," Journal of Industrial Economics, Wiley Blackwell, vol. 56(2), pages 290-332, June.
    38. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    39. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," The Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-764.
    40. Pär Holmberg & Frank A. Wolak, 2018. "Comparing auction designs where suppliers have uncertain costs and uncertain pivotal status," RAND Journal of Economics, RAND Corporation, vol. 49(4), pages 995-1027, December.
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    Cited by:

    1. Brown, David P. & Eckert, Andrew & Silveira, Douglas, 2023. "Screening for collusion in wholesale electricity markets: A literature review," Utilities Policy, Elsevier, vol. 85(C).

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    More about this item

    Keywords

    Multi-unit auction; Single-unit demand; Uniform pricing; Pay-as-bid; Asymmetric information; Publicity effect;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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