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Tacit Collusion and Capacity Withholding in Repeated Uniform Price Auctions

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  • Emmanuel Dechenaux

    ()

  • Dan Kovenock

    ()

Abstract

This paper contributes to the study of tacit collusion by analyzing infinitely repeated multiunit uniform price auctions in a symmetric oligopoly with capacity constrained firms. Under both the Market Clearing and Maximum Accepted Price rules of determining the uniform price, we show that when each firm sets a price-quantity pair specifying the firm's minimum acceptable price and the maximum quantity the firm is willing to sell at this price, there exists a range of discount factors for which the monopoly outcome with equal sharing is sustainable in the uniform price auction, but not in the corresponding discriminatory auction. Moreover, capacity withholding may be necessary to sustain this out-come. We extend these results to the case where firms may set bids that are arbitrary step functions of price-quantity pairs with any finite number of price steps. Surprisingly, under the Maximum Accepted Price rule, firms need employ no more than two price steps to minimize the value of the discount factor

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Bibliographic Info

Paper provided by Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC) in its series UFAE and IAE Working Papers with number 645.05.

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Length: 36
Date of creation: 01 Mar 2005
Date of revision:
Handle: RePEc:aub:autbar:645.05

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Keywords: Auction; Capacity; Collusion; Electricity Market; Supply Function;

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  1. Dechenaux, Emmanuel & Kovenock, Dan, 2003. "Endogenous Rationing, Price Dispersion, and Collusion in Capacity Constrained Supergames," Purdue University Economics Working Papers 1164, Purdue University, Department of Economics.
  2. Garcia-Diaz, Anton & Marin, Pedro L., 2003. "Strategic bidding in electricity pools with short-lived bids: an application to the Spanish market," International Journal of Industrial Organization, Elsevier, vol. 21(2), pages 201-222, February.
  3. Natalia Fabra, 2003. "Tacit Collusion in Repeated Auctions: Uniform Versus Discriminatory," Journal of Industrial Economics, Wiley Blackwell, vol. 51(3), pages 271-293, 09.
  4. Natalia Fabra & Nils-Henrik von der Fehr & David Harbord, 2002. "Designing Electricity Auctions," Microeconomics 0211017, EconWPA, revised 31 Aug 2003.
  5. Le Coq, Chloé, 2002. "Strategic use of available capacity in the electricity spot market," Working Paper Series in Economics and Finance 496, Stockholm School of Economics.
  6. Lambson, Val Eugene, 1987. "Optimal Penal Codes in Price-Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 385-97, July.
  7. Davidson, Carl & Deneckere, Raymond, 1984. "Horizontal mergers and collusive behavior," International Journal of Industrial Organization, Elsevier, vol. 2(2), pages 117-132, June.
  8. Green, Richard & Newbery, David M G, 1991. "Competition in the British Electricity Spot Market," CEPR Discussion Papers 557, C.E.P.R. Discussion Papers.
  9. Aitor Ciarreta & María Paz Espinosa, 2003. "Market Power In The Spanish Wholesale Electricity Market," Working Papers. Serie AD 2003-22, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  10. Severin Borenstein & James. Bushnell & Steven Stoft, 2000. "The Competitive Effects of Transmission Capacity in A Deregulated Electricity Industry," RAND Journal of Economics, The RAND Corporation, vol. 31(2), pages 294-325, Summer.
  11. Brock, William A & Scheinkman, Jose A, 1985. "Price Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 371-82, July.
  12. Deneckere, Raymond J & Kovenock, Dan, 1992. "Price Leadership," Review of Economic Studies, Wiley Blackwell, vol. 59(1), pages 143-62, January.
    • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Anette Boom, . "Investments in Electricity Generation Capacity under Different Market Structures with Price Responsive Demand," Papers 016, Departmental Working Papers.
  14. Crawford, Gregory S. & Crespo, Joseph & Tauchen, Helen, 2007. "Bidding asymmetries in multi-unit auctions: Implications of bid function equilibria in the British spot market for electricity," International Journal of Industrial Organization, Elsevier, vol. 25(6), pages 1233-1268, December.
  15. Bushnell, James & Wolfram, Catherine, 2008. "Electricity Markets," Staff General Research Papers 31547, Iowa State University, Department of Economics.
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Cited by:
  1. Emmanuel Dechenaux & Dan Kovenock, 2011. "Endogenous rationing, price dispersion and collusion in capacity constrained supergames," Economic Theory, Springer, vol. 47(1), pages 29-74, May.
  2. Li, Hongyan & Tesfatsion, Leigh, 2010. "Co-Learning Patterns As Emergent Market Phenomena: An Electricity Market Illustration," Staff General Research Papers 32222, Iowa State University, Department of Economics.
  3. Heim, Sven & Götz, Georg, 2013. "Do pay-as-bid auctions favor collusion? Evidence from Germany's market for reserve power," ZEW Discussion Papers 13-035, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  4. Anderson, E.J. & Cau, T.D.H., 2011. "Implicit collusion and individual market power in electricity markets," European Journal of Operational Research, Elsevier, vol. 211(2), pages 403-414, June.
  5. Joseph Mullins & Liam Wagner & John Foster, 2010. "Price Spikes in Electricity Markets: A Strategic Perspective," Energy Economics and Management Group Working Papers 05, School of Economics, University of Queensland, Australia.

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