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Strategic Supply Function Competition with Private Information

  • Xavier Vives

    (IESE Business School and UPF)

A finite number of sellers (n) compete in schedules to supply an elastic demand. The costs of the sellers have uncertain common and private value components and there is no exogenous noise in the system. A Bayesian supply function equilibrium is characterized; the equilibrium is privately revealing and the incentives to acquire information are preserved. Price-cost margins and bid shading are affected by the parameters of the information structure: supply functions are steeper with more noise in the private signals or more correlation among the costs parameters. In fact, for large values of noise or correlation supply functions are downward sloping, margins are larger than the Cournot ones, and as we approach the common value case they tend to the collusive level. Private information coupled with strategic behavior induces additional distortionary market power above full information levels and welfare losses which can be counteracted by subsidies. As the market grows large the equilibrium becomes price-taking, bid shading is of the order of 1/n, and the order of magnitude of welfare losses is I/n^2. The results extend to demand schedule competition and a range of applications in product and financial markets are presented.

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File URL: http://cowles.econ.yale.edu/P/cd/d17a/d1736.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1736.

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Length: 79 pages
Date of creation: Oct 2009
Date of revision:
Handle: RePEc:cwl:cwldpp:1736
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  1. Klemperer, Paul, 2009. "The Product-Mix Auction: a New Auction Design for Differentiated Goods," CEPR Discussion Papers 7395, C.E.P.R. Discussion Papers.
  2. Kjell G. Nyborg & Kristian Rydqvist & Suresh M. Sundaresan, 2002. "Bidder Behavior in Multiunit Auctions: Evidence from Swedish Treasury Auctions," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 394-424, April.
  3. 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 531-46, May.
  4. Vives, Xavier, 2011. "Endogenous public information and welfare," IESE Research Papers D/925, IESE Business School.
  5. Paul Klemperer, 2009. "A New Auction for Substitutes: Central-Bank Liquidity Auctions, "Toxic Asset" Auctions, and Variable Product-Mix Auctions," Economics Series Working Papers 2009-W06, University of Oxford, Department of Economics.
  6. Kai-Uwe Kühn & Matilde Machado, 2004. "Bilateral Market Power And Vertical Integration In The Spanish Electricity Spot Market," Working Papers wp2004_0414, CEMFI.
  7. Jackson, Matthew O, 1991. "Equilibrium, Price Formation, and the Value of Private Information," Review of Financial Studies, Society for Financial Studies, vol. 4(1), pages 1-16.
  8. Laussel, Didier, 1992. "Strategic Commercial Policy Revisited: A Supply-Function Equilibrium Model," American Economic Review, American Economic Association, vol. 82(1), pages 84-99, March.
  9. George-Marios Angeletos & Alessandro Pavan, 2007. "Policy with Dispersed Information," NBER Working Papers 13590, National Bureau of Economic Research, Inc.
  10. Nuno Cassola & Ali Hortaçsu & Jakub Kastl, 2013. "The 2007 Subprime Market Crisis Through the Lens of European Central Bank Auctions for Short‐Term Funds," Econometrica, Econometric Society, vol. 81(4), pages 1309-1345, 07.
  11. Bo Andersson & Lars Bergman, 1995. "Market Structure and the Price of Electricity: An Ex Ante Analysis of the Deregulated Swedish Electricity Market," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 97-110.
  12. Bhattacharya, Utpal & Spiegel, Matthew, 1991. "Insiders, Outsiders, and Market Breakdowns," Review of Financial Studies, Society for Financial Studies, vol. 4(2), pages 255-82.
  13. Catherine D. Wolfram, 1998. "Strategic Bidding in a Multiunit Auction: An Empirical Analysis of Bids to Supply Electricity in England and Wales," RAND Journal of Economics, The RAND Corporation, vol. 29(4), pages 703-725, Winter.
  14. Green, Richard & Newbery, David M G, 1991. "Competition in the British Electricity Spot Market," CEPR Discussion Papers 557, C.E.P.R. Discussion Papers.
  15. Palfrey, Thomas R, 1985. "Uncertainty Resolution, Private Information Aggregation, and the Cournot Competitive Limit," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 69-83, January.
  16. Vives, Xavier, 1986. "Commitment, flexibility and market outcomes," International Journal of Industrial Organization, Elsevier, vol. 4(2), pages 217-229, June.
  17. Cammack, Elizabeth B, 1991. "Evidence on Bidding Strategies and the Information in Treasury Bill Auctions," Journal of Political Economy, University of Chicago Press, vol. 99(1), pages 100-130, February.
  18. Allen, Beth E, 1981. "Generic Existence of Completely Revealing Equilibria for Economies with Uncertainty when Prices Convey Information," Econometrica, Econometric Society, vol. 49(5), pages 1173-99, September.
  19. Kremer, Ilan & Nyborg, Kjell G, 2004. "Underpricing and Market Power in Uniform Price Auctions," CEPR Discussion Papers 4363, C.E.P.R. Discussion Papers.
  20. Chaim Fershtman & Kenneth L Judd, 1984. "Equilibrium Incentives in Oligopoly," Discussion Papers 642, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  21. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, 07.
  22. Mark J. Flannery, 1996. "Financial crises, payment system problems, and discount window lending," Proceedings, Board of Governors of the Federal Reserve System (U.S.), pages 804-831.
  23. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  24. 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.
  25. Lawrence M. Ausubel & Peter Cramton, 2008. "A Troubled Asset Reverse Auction," Papers of Peter Cramton 08tara, University of Maryland, Department of Economics - Peter Cramton, revised 2008.
  26. Kjell G. Nyborg & Ulrich Bindseil & Ilya A. Strebulaev, 2005. "Bidding and Performance in Repo Auctions: Evidence from ECB Open Market Operations," Working Papers 2005.92, Fondazione Eni Enrico Mattei.
  27. 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.
  28. Crampes , C. & Fabra , N., 2005. "The Spanish Electricity Industry: Plus ça change …," Cambridge Working Papers in Economics 0502, Faculty of Economics, University of Cambridge.
  29. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-77, November.
  30. Back, Kerry & Zender, Jaime F, 1993. "Auctions of Divisible Goods: On the Rationale for the Treasury Experiment," Review of Financial Studies, Society for Financial Studies, vol. 6(4), pages 733-64.
  31. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-76, July.
  32. Holmberg, Pär & Newbery, David & Ralph, Daniel, 2009. "Supply Function Equilibria: Step Functions and Continuous Representations," Working Paper Series 788, Research Institute of Industrial Economics.
  33. Crampes, Claude & Fabra, Natalia, 2004. "The Spanish Electricity Industry: Plus ça change..," IDEI Working Papers 317, Institut d'Économie Industrielle (IDEI), Toulouse.
  34. 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.
  35. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, June.
  36. Borenstein, Severin & Bushnell, James, 1999. "An Empirical Analysis of the Potential for Market Power in California's Electricity Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 47(3), pages 285-323, September.
  37. Biais, Bruno & Martimort, David & Rochet, Jean-Charles, 1998. "Competing Mechanisms in a Commun Value Environment," IDEI Working Papers 75, Institut d'Économie Industrielle (IDEI), Toulouse.
  38. 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.
  39. Green, Richard J, 1996. "Increasing Competition in the British Electricity Spot Market," Journal of Industrial Economics, Wiley Blackwell, vol. 44(2), pages 205-16, June.
  40. Ross Baldick & William Hogan, 2006. "Stability of supply function equilibria implications for daily versus hourly bids in a poolco market," Journal of Regulatory Economics, Springer, vol. 30(2), pages 119-139, 08.
  41. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
  42. Bergman, Lars & Andersson, Bo, 1995. "Market Structure and the Price of Electricity: An ex ante Analysis of the deregulated Swedish Electricity Market," SSE/EFI Working Paper Series in Economics and Finance 47, Stockholm School of Economics.
  43. Douglas K. Reece, 1978. "Competitive Bidding for Offshore Petroleum Leases," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 369-384, Autumn.
  44. Michael B. Gordy, 1997. "Hedging Winner's Curse with Multiple Bids: Evidence from the Portuguese Treasury Bill Auction," Microeconomics 9702002, EconWPA.
  45. Fauli-Oller, Ramon & Giralt, Magdalena, 1995. "Competition and Cooperation within a Multidivisional Firm," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 77-99, March.
  46. Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-72, September.
  47. Ross Baldick & Ryan Grant & Edward Kahn, 2004. "Theory and Application of Linear Supply Function Equilibrium in Electricity Markets," Journal of Regulatory Economics, Springer, vol. 25(2), pages 143-167, 03.
  48. Severin Borenstein & James B. Bushnell & Frank A. Wolak, 2002. "Measuring Market Inefficiencies in California's Restructured Wholesale Electricity Market," American Economic Review, American Economic Association, vol. 92(5), pages 1376-1405, December.
  49. Back, Kerry & Zender, Jaime F., 2001. "Auctions of divisible goods with endogenous supply," Economics Letters, Elsevier, vol. 73(1), pages 29-34, October.
  50. Grant, Simon & Quiggin, John, 1997. "Strategic Trade Policy under Uncertainty: Sufficient Conditions for the Optimality of Ad Valorem, Specific and Quadratic Trade Taxes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(1), pages 187-203, February.
  51. 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, 08.
  52. Martin W Cripps & Jeroen M Swinkels, 2003. "Efficiency of Large Double Auctions," Levine's Working Paper Archive 666156000000000329, David K. Levine.
  53. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-47, Supplemen.
  54. Green, Richard, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-24, March.
  55. Kandel, Shmuel & Sarig, Oded & Wohl, Avi, 1999. "The Demand for Stocks: An Analysis of IPO Auctions," Review of Financial Studies, Society for Financial Studies, vol. 12(2), pages 227-47.
  56. Wilson, Robert, 1979. "Auctions of Shares," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 675-89, November.
  57. Ramteen Sioshansi & Shmuel Oren, 2007. "How good are supply function equilibrium models: an empirical analysis of the ERCOT balancing market," Journal of Regulatory Economics, Springer, vol. 31(1), pages 1-35, February.
  58. Ali Hortaçsu & Steven L. Puller, 2008. "Understanding strategic bidding in multi-unit auctions: a case study of the Texas electricity spot market," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 86-114.
  59. Kyle, Albert S, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Wiley Blackwell, vol. 56(3), pages 317-55, July.
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