IDEAS home Printed from https://ideas.repec.org/p/fem/femwpa/2003.22.html
   My bibliography  Save this paper

Tilting the Supply Schedule to Enhance Competition in Uniform-Price Auctions

Author

Listed:
  • Marco LiCalzi

    (Department of Applied Mathematics, University of Venice)

  • Alessandro Pavan

    (Department of Economics, Northwestern University)

Abstract

Uniform-price auctions of a divisible good in fixed supply admit underpricing equilibria, where bidders submit high inframarginal bids to prevent competition on prices. The seller can obstruct this behavior by tilting her supply schedule and making the amount of divisible good on offer change endogenously with its (uniform) price. Precommitting to an increasing supply curve is a strategic instrument to reward aggressive bidding and enhance expected revenue. A fixed supply may not be optimal even when accounting for the cost to the seller of issuing a quantity different from her target supply.

Suggested Citation

  • Marco LiCalzi & Alessandro Pavan, 2003. "Tilting the Supply Schedule to Enhance Competition in Uniform-Price Auctions," Working Papers 2003.22, Fondazione Eni Enrico Mattei.
  • Handle: RePEc:fem:femwpa:2003.22
    as

    Download full text from publisher

    File URL: https://feem-media.s3.eu-central-1.amazonaws.com/wp-content/uploads/NDL2003-022.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(5), pages 853-881.
    2. Alex Edmans & Xavier Gabaix, 2011. "Tractability in Incentive Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 24(9), pages 2865-2894.
    3. Battaglini, Marco & Coate, Stephen, 2008. "Pareto efficient income taxation with stochastic abilities," Journal of Public Economics, Elsevier, vol. 92(3-4), pages 844-868, April.
    4. Matti Keloharju & Kjell G. Nyborg & Kristian Rydqvist, 2003. "Strategic Behavior and Underpricing in Uniform Price Auctions," Working Papers 2003.25, Fondazione Eni Enrico Mattei.
    5. Besanko, David, 1985. "Multi-period contracts between principal and agent with adverse selection," Economics Letters, Elsevier, vol. 17(1-2), pages 33-37.
    6. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2008. "Dynamic Mechanism Design: Incentive Compatibility, Profit Maximization and Information Disclosure," Carlo Alberto Notebooks 84, Collegio Carlo Alberto.
    7. Laffont, Jean-Jacques & Tirole, Jean, 1986. "Using Cost Observation to Regulate Firms," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 614-641, June.
    8. Peter M. DeMarzo & Michael J. Fishman, 2007. "Optimal Long-Term Financial Contracting," The Review of Financial Studies, Society for Financial Studies, vol. 20(6), pages 2079-2128, November.
    9. Stefania Albanesi & Christopher Sleet, 2006. "Dynamic Optimal Taxation with Private Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 1-30.
    10. Yvan Lengwiler, 1999. "The multiple unit auction with variable supply," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(2), pages 373-392.
    11. Alex Edmans & Xavier Gabaix & Tomasz Sadzik & Yuliy Sannikov, 2009. "Dynamic Incentive Accounts," NBER Working Papers 15324, National Bureau of Economic Research, Inc.
    12. Goswami, Gautam & Noe, Thomas H & Rebello, Michael J, 1996. "Collusion in Uniform-Price Auctions: Experimental Evidence and Implications for Treasury Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 9(3), pages 757-785.
    13. Yuliy Sannikov, 2008. "A Continuous-Time Version of the Principal-Agent Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 957-984.
    14. Gibbons, Robert & Murphy, Kevin J, 1992. "Optimal Incentive Contracts in the Presence of Career Concerns: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 468-505, June.
    15. Emmanuel Farhi, 2013. "Insurance and Taxation over the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 596-635.
    16. Matti Keloharju & Kjell G. Nyborg & Kristian Rydqvist, 2005. "Strategic Behavior and Underpricing in Uniform Price Auctions: Evidence from Finnish Treasury Auctions," Journal of Finance, American Finance Association, vol. 60(4), pages 1865-1902, August.
    17. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    18. Bruno Biais & Thomas Mariotti & Jean-Charles Rochet & StÈphane Villeneuve, 2010. "Large Risks, Limited Liability, and Dynamic Moral Hazard," Econometrica, Econometric Society, vol. 78(1), pages 73-118, January.
    19. Kandel, Shmuel & Sarig, Oded & Wohl, Avi, 1999. "The Demand for Stocks: An Analysis of IPO Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 12(2), pages 227-247.
    20. Holmstrom, Bengt & Milgrom, Paul, 1987. "Aggregation and Linearity in the Provision of Intertemporal Incentives," Econometrica, Econometric Society, vol. 55(2), pages 303-328, March.
    21. repec:adr:anecst:y:1990:i:18:p:07 is not listed on IDEAS
    22. Daniel F. Garrett & Alessandro Pavan, 2012. "Managerial Turnover in a Changing World," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 879-925.
    23. Biais, Bruno & Faugeron-Crouzet, Anne Marie, 2002. "IPO Auctions: English, Dutch, ... French, and Internet," Journal of Financial Intermediation, Elsevier, vol. 11(1), pages 9-36, January.
    24. Mathias Dewatripont & Ian Jewitt & Jean Tirole, 1999. "The Economics of Career Concerns, Part I: Comparing Information Structures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 183-198.
    25. Alex Edmans & Xavier Gabaix, 2009. "Is CEO Pay Really Inefficient? A Survey of New Optimal Contracting Theories," European Financial Management, European Financial Management Association, vol. 15(3), pages 486-496, June.
    26. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    27. Lawrence M. Ausubel & Peter Cramton, 1997. "Auctioning Securities," Papers of Peter Cramton 98wpas, University of Maryland, Department of Economics - Peter Cramton, revised Mar 1998.
    28. Noussair, Charles, 1995. "Equilibria in a Multi-object Uniform Price Sealed Bid Auction with Multi-unit Demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 337-351, March.
    29. Daniel Garrett & Alessandro Pavan, 2009. "Dynamic Managerial Compensation: A Mechanism Design Approach," 2009 Meeting Papers 375, Society for Economic Dynamics.
    30. Zhang, Yuzhe, 2009. "Dynamic contracting with persistent shocks," Journal of Economic Theory, Elsevier, vol. 144(2), pages 635-675, March.
    31. 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.
    32. Richard A. Lambert, 1983. "Long-Term Contracts and Moral Hazard," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 441-452, Autumn.
    33. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
    34. 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.
    35. Laffont, Jean-Jacques & Rochet, Jean-Charles, 1998. "Regulation of a Risk Averse Firm," Games and Economic Behavior, Elsevier, vol. 25(2), pages 149-173, November.
    36. Tenorio, Rafael, 1997. "Some evidence on strategic quantity reduction in multiple unit auctions," Economics Letters, Elsevier, vol. 55(2), pages 209-213, August.
    37. Back, Kerry & Zender, Jaime F., 2001. "Auctions of divisible goods with endogenous supply," Economics Letters, Elsevier, vol. 73(1), pages 29-34, October.
    38. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(4), pages 599-617.
    39. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(4), pages 675-689.
    40. PETER M. DeMARZO & YULIY SANNIKOV, 2006. "Optimal Security Design and Dynamic Capital Structure in a Continuous‐Time Agency Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2681-2724, December.
    41. Lippert, Robert L. & Porter, Gayle, 1997. "Understanding CEO pay: A test of two pay-to-performance sensitivity measures with alternative measures of alignment and influence," Journal of Business Research, Elsevier, vol. 40(2), pages 127-138, October.
    42. Bernheim, B. Douglas & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria II. Applications," Journal of Economic Theory, Elsevier, vol. 42(1), pages 13-29, June.
    43. Rogerson, William P, 1985. "Repeated Moral Hazard," Econometrica, Econometric Society, vol. 53(1), pages 69-76, January.
    44. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    45. Ilan Kremer, 2004. "Underpricing and Market Power in Uniform Price Auctions," The Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 849-877.
    46. Mathias Dewatripont & Ian Jewitt & Jean Tirole, 1999. "The Economics of Career Concerns, Part I: Comparing Information Structures," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 183-198.
    47. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. George-Marios Angeletos & Alessandro Pavan, 2007. "Socially Optimal Coordination: Characterization and Policy Implications," Journal of the European Economic Association, MIT Press, vol. 5(2-3), pages 585-593, 04-05.
    2. Garrett, Daniel F. & Pavan, Alessandro, 2015. "Dynamic managerial compensation: A variational approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 775-818.
    3. Daniel Garrett & Alessandro Pavan, 2009. "Dynamic Managerial Compensation: a Mechanism Design Approach," Carlo Alberto Notebooks 127, Collegio Carlo Alberto.
    4. Daniel Garrett & Alessandro Pavan, 2014. "Dynamic Managerial Compensation: On the Optimality of Seniority-based Schemes," Discussion Papers 1579, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Golosov, M. & Tsyvinski, A. & Werquin, N., 2016. "Recursive Contracts and Endogenously Incomplete Markets," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 725-841, Elsevier.
    6. Daniel F. Garrett & Alessandro Pavan, 2012. "Managerial Turnover in a Changing World," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 879-925.
    7. Zhiguo He & Bin Wei & Jianfeng Yu & Feng Gao, 2017. "Optimal Long-Term Contracting with Learning," The Review of Financial Studies, Society for Financial Studies, vol. 30(6), pages 2006-2065.
    8. Ewerhart, Christian & Cassola, Nuno & Valla, Natacha, 2010. "Declining valuations and equilibrium bidding in central bank refinancing operations," International Journal of Industrial Organization, Elsevier, vol. 28(1), pages 30-43, January.
    9. Bergemann, Dirk & Pavan, Alessandro, 2015. "Introduction to Symposium on Dynamic Contracts and Mechanism Design," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 679-701.
    10. Sylvain Chassang, 2013. "Calibrated Incentive Contracts," Econometrica, Econometric Society, vol. 81(5), pages 1935-1971, September.
    11. Dirk Bergemann & Alessandro Pavan, 2015. "Introduction to JET Symposium Issue on "Dynamic Contracts and Mechanism Design"," Cowles Foundation Discussion Papers 2016, Cowles Foundation for Research in Economics, Yale University.
    12. Matti Keloharju & Kjell G. Nyborg & Kristian Rydqvist, 2003. "Strategic Behavior and Underpricing in Uniform Price Auctions," Working Papers 2003.25, Fondazione Eni Enrico Mattei.
    13. Villeneuve, Stéphane & Abi Jaber, Eduardo, 2022. "Gaussian Agency problems with memory and Linear Contracts," TSE Working Papers 22-1363, Toulouse School of Economics (TSE).
    14. Gabaix, Xavier & Sannikov, Yuliy & Edmans, Alex & Sadzik, Tomasz, 2009. "Dynamic Incentive Accounts," CEPR Discussion Papers 7497, C.E.P.R. Discussion Papers.
    15. Chang-Koo Chi & Kyoung Jin Choi, 2017. "The impact of firm size on dynamic incentives and investment," RAND Journal of Economics, RAND Corporation, vol. 48(1), pages 147-177, March.
    16. Eduardo Abi Jaber & Stéphane Villeneuve, 2022. "Gaussian Agency problems with memory and Linear Contracts," Post-Print hal-03783062, HAL.
    17. Alex Edmans & Xavier Gabaix, 2016. "Executive Compensation: A Modern Primer," Journal of Economic Literature, American Economic Association, vol. 54(4), pages 1232-1287, December.
    18. Eduardo Abi Jaber & St'ephane Villeneuve, 2022. "Gaussian Agency problems with memory and Linear Contracts," Papers 2209.10878, arXiv.org.
    19. Matti Keloharju & Kjell G. Nyborg & Kristian Rydqvist, 2005. "Strategic Behavior and Underpricing in Uniform Price Auctions: Evidence from Finnish Treasury Auctions," Journal of Finance, American Finance Association, vol. 60(4), pages 1865-1902, August.
    20. Xavier Vives, 2011. "Strategic Supply Function Competition With Private Information," Econometrica, Econometric Society, vol. 79(6), pages 1919-1966, November.

    More about this item

    Keywords

    Uniform-price auction; divisible good; strategic role of the seller; endogenous supply; Treasury and IPO auctions;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fem:femwpa:2003.22. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Alberto Prina Cerai (email available below). General contact details of provider: https://edirc.repec.org/data/feemmit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.