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Strategic Supply Function Competition with Private Information

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  • Xavier Vives

Abstract

A Bayesian supply function equilibrium is characterized in a market where firms have private information about their uncertain costs. It is found that with supply function competition, and in contrast to Bayesian Cournot competition, competitiveness is 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. Furthermore, competition in supply functions aggregates the dispersed information of firms (the equilibrium is privately revealing) while Cournot competition does not. The implication is that with the former the only source of deadweight loss is market power while with the latter we have to add private information. As the market grows large the equilibrium becomes competitive and we obtain an approximation to how many competitors are needed to have a certain degree of competitiveness.

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  • Xavier Vives, 2008. "Strategic Supply Function Competition with Private Information," CESifo Working Paper Series 2410, CESifo.
  • Handle: RePEc:ces:ceswps:_2410
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    1. 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, August.
    2. James B. Bushnell & Erin T. Mansur & Celeste Saravia, 2008. "Vertical Arrangements, Market Structure, and Competition: An Analysis of Restructured US Electricity Markets," American Economic Review, American Economic Association, vol. 98(1), pages 237-266, March.
    3. Douglas K. Reece, 1978. "Competitive Bidding for Offshore Petroleum Leases," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 369-384, Autumn.
    4. Claude Crampes and Natalia Fabra, 2005. "The Spanish Electricity Industry: Plus ca change," The Energy Journal, International Association for Energy Economics, vol. 0(Special I), pages 127-154.
    5. George-Marios Angeletos & Alessandro Pavan, 2009. "Policy with Dispersed Information," Journal of the European Economic Association, MIT Press, vol. 7(1), pages 11-60, March.
    6. Martin W. Cripps & Jeroen M. Swinkels, 2006. "Efficiency of Large Double Auctions," Econometrica, Econometric Society, vol. 74(1), pages 47-92, January.
    7. 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, July.
    8. Bindseil, Ulrich & Nyborg, Kjell G. & Strebulaev, Ilya A., 2002. "Bidding and performance in repo auctions: evidence from ECB open market operations," Working Paper Series 157, European Central Bank.
    9. 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.
    10. 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.
    11. Paul Klemperer, 2009. "A New Auction for Substitutes: Central-Bank Liquidity Auctions, “Toxic Asset” Auctions, and Variable Product-Mix Auctions," Economics Papers 2009-W06, Economics Group, Nuffield College, University of Oxford.
    12. 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.
    13. Thomas R. Palfrey, 1985. "Uncertainty Resolution, Private Information Aggregation and the Cournot Competitive Limit," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 69-83.
    14. 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.
    15. Crampes , C. & Fabra , N., 2005. "The Spanish Electricity Industry: Plus ça change …," Cambridge Working Papers in Economics 0502, Faculty of Economics, University of Cambridge.
    16. 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.
    17. Bhattacharya, Utpal & Spiegel, Matthew, 1991. "Insiders, Outsiders, and Market Breakdowns," Review of Financial Studies, Society for Financial Studies, vol. 4(2), pages 255-282.
    18. Green, Richard J, 1996. "Increasing Competition in the British Electricity Spot Market," Journal of Industrial Economics, Wiley Blackwell, vol. 44(2), pages 205-216, June.
    19. 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.
    20. Severin Borenstein & James Bushnell, 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.
    21. Richard Green, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-124, March.
    22. Kühn, Kai-Uwe & Machado, Matilde Pinto, 2004. "Bilateral Market Power and Vertical Integration in the Spanish Electricity Spot Market," CEPR Discussion Papers 4590, C.E.P.R. Discussion Papers.
    23. Grossman, Sanford J, 1981. "Nash Equilibrium and the Industrial Organization of Markets with Large Fixed Costs," Econometrica, Econometric Society, vol. 49(5), pages 1149-1172, September.
    24. Bruno Biais & David Martimort & Jean-Charles Rochet, 2000. "Competing Mechanisms in a Common Value Environment," Econometrica, Econometric Society, vol. 68(4), pages 799-838, July.
    25. 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 1173-1199, September.
    26. 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.
    27. 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.
    28. 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.
    29. 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.
    30. Michael B. Gordy, 1999. "Hedging Winner'S Curse With Multiple Bids: Evidence From The Portuguese Treasury Bill Auction," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 448-465, August.
    31. 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, March.
    32. Vives, Xavier, 1986. "Commitment, flexibility and market outcomes," International Journal of Industrial Organization, Elsevier, vol. 4(2), pages 217-229, June.
    33. George-Marios Angeletos & Alessandro Pavan, 2007. "Efficient Use of Information and Social Value of Information," Econometrica, Econometric Society, vol. 75(4), pages 1103-1142, July.
    34. Albert S. Kyle, 1989. "Informed Speculation with Imperfect Competition," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 317-355.
    35. 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, March.
    36. 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.
    37. Vickers, John, 1985. "Delegation and the Theory of the Firm," Economic Journal, Royal Economic Society, vol. 95(380a), pages 138-147, Supplemen.
    38. Vives, Xavier, 2011. "Endogenous Public Information and Welfare," CEPR Discussion Papers 8437, C.E.P.R. Discussion Papers.
    39. Fershtman, Chaim & Judd, Kenneth L, 1987. "Equilibrium Incentives in Oligopoly," American Economic Review, American Economic Association, vol. 77(5), pages 927-940, December.
    40. Back, Kerry & Zender, Jaime F., 2001. "Auctions of divisible goods with endogenous supply," Economics Letters, Elsevier, vol. 73(1), pages 29-34, October.
    41. 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.
    42. 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.
    43. Xavier Vives, 2002. "Private Information, Strategic Behavior, and Efficiency in Cournot Markets," RAND Journal of Economics, The RAND Corporation, vol. 33(3), pages 361-376, Autumn.
    44. 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 227-247.
    45. Paul Klemperer, 2010. "The Product-Mix Auction: A New Auction Design for Differentiated Goods," Journal of the European Economic Association, MIT Press, vol. 8(2-3), pages 526-536, 04-05.
    46. Robert Wilson, 1979. "Auctions of Shares," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 675-689.
    47. 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.
    48. Steven D. Sklivas, 1987. "The Strategic Choice of Managerial Incentives," RAND Journal of Economics, The RAND Corporation, vol. 18(3), pages 452-458, Autumn.
    49. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    50. Flannery, Mark J, 1996. "Financial Crises, Payment System Problems, and Discount Window Lending," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 804-824, November.
    51. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    52. 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.
    53. Green, Richard, 1999. "The Electricity Contract Market in England and Wales," Journal of Industrial Economics, Wiley Blackwell, vol. 47(1), pages 107-124, March.
    54. 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.
    55. 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.
    56. 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.
    57. 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.
    58. 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.
    59. Stephen Morris & Hyun Song Shin, 2002. "Social Value of Public Information," American Economic Review, American Economic Association, vol. 92(5), pages 1521-1534, December.
    60. Vives, Xavier, 1988. "Aggregation of Information in Large Cournot Markets," Econometrica, Econometric Society, vol. 56(4), pages 851-876, July.
    61. 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.
    62. Klemperer, Paul D & Meyer, Margaret A, 1989. "Supply Function Equilibria in Oligopoly under Uncertainty," Econometrica, Econometric Society, vol. 57(6), pages 1243-1277, November.
    63. Ilan Kremer, 2004. "Underpricing and Market Power in Uniform Price Auctions," Review of Financial Studies, Society for Financial Studies, vol. 17(3), pages 849-877.
    64. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
    65. 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 733-764.
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    More about this item

    Keywords

    imperfect competition; adverse selection; competitiveness; rational expectations; collusion; welfare;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities

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