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Market making oligopoly

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  • Simon Loertscher

Abstract

This paper analyzes price competition between market makers who set costly capacity constraints before they intermediate between producers and consumers. The key finding is that the unique perfect equilibrium outcome is Cournot if capacity is costly and rationing efficient. This result is interesting for two main reasons: It generalizes Kreps and Scheinkman (1983) to an arbitrary number of market makers, and it contrasts with Stahl (1988) and the broader literature on market making, such as Gehrig (1993), Fingleton (1997) and Rust and Hall (2003), where due to the absence of capacity constraints on the input market the Bertrand paradox typically prevails.

Suggested Citation

  • Simon Loertscher, 2005. "Market making oligopoly," Diskussionsschriften dp0512, Universitaet Bern, Departement Volkswirtschaft.
  • Handle: RePEc:ube:dpvwib:dp0512
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    File URL: http://www.vwl.unibe.ch/wp-content/uploads/papers/dp/dp0512.pdf
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    References listed on IDEAS

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    1. Mark Armstrong, 2006. "Competition in two‐sided markets," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 668-691, September.
    2. Glenn Ellison & Drew Fudenberg, 2003. "Knife-Edge or Plateau: When Do Market Models Tip?," The Quarterly Journal of Economics, Oxford University Press, vol. 118(4), pages 1249-1278.
    3. Daniel F. Spulber, 1996. "Market Making by Price-Setting Firms," Review of Economic Studies, Oxford University Press, vol. 63(4), pages 559-580.
    4. John Rust & George Hall, 2003. "Middlemen versus Market Makers: A Theory of Competitive Exchange," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 353-403, April.
    5. Dan Kovenock & Raymond J. Deneckere, 1996. "Bertrand-Edgeworth duopoly with unit cost asymmetry (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 1-25.
    6. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Gehrig, Thomas, 1993. "Intermediation in Search Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 2(1), pages 97-120, Spring.
    8. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-122, February.
    9. repec:ebl:ecbull:v:4:y:2003:i:30:p:1-8 is not listed on IDEAS
    10. Fudenberg, Drew & Tirole, Jean, 1984. "The Fat-Cat Effect, the Puppy-Dog Ploy, and the Lean and Hungry Look," American Economic Review, American Economic Association, vol. 74(2), pages 361-366, May.
    11. Boccard, Nicolas & Wauthy, Xavier, 2004. "Bertrand competition and Cournot outcomes: a correction," Economics Letters, Elsevier, vol. 84(2), pages 163-166, August.
    12. Sam Peltzman, 2000. "Prices Rise Faster than They Fall," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 466-502, June.
    13. Boccard, Nicolas & Wauthy, Xavier, 2000. "Bertrand competition and Cournot outcomes: further results," Economics Letters, Elsevier, vol. 68(3), pages 279-285, September.
    14. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
    15. repec:rus:hseeco:72158 is not listed on IDEAS
    16. Caillaud, Bernard & Jullien, Bruno, 2001. "Competing cybermediaries," European Economic Review, Elsevier, vol. 45(4-6), pages 797-808, May.
    17. Fingleton, John, 1997. "Competition among Middlemen When Buyers and Sellers Can Trade Directly," Journal of Industrial Economics, Wiley Blackwell, vol. 45(4), pages 405-427, December.
    18. Stahl, Dale O, II, 1988. "Bertrand Competition for Inputs and Walrasian Outcomes," American Economic Review, American Economic Association, vol. 78(1), pages 189-201, March.
    19. Yanelle, Marie-Odile, 1989. "The strategic analysis of intermediation," European Economic Review, Elsevier, vol. 33(2-3), pages 294-301, March.
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    Citations

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    Cited by:

    1. Tasnádi, Attila & Bakó, Barna, 2014. "A Kreps-Scheinkman-állítás érvényessége lineáris keresletű vegyes duopóliumok esetén
      [The Kreps and Scheinkman result remains valid for mixed duopolies with linear demand]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(5), pages 533-543.
    2. James A. Brander & Barbara J. Spencer, 2015. "Endogenous Horizontal Product Differentiation under Bertrand and Cournot Competition: Revisiting the Bertrand Paradox," NBER Working Papers 20966, National Bureau of Economic Research, Inc.
    3. repec:mhr:jinste:urn:sici:0932-4569(201712)173:4_753:tkgimd_2.0.tx_2-b is not listed on IDEAS
    4. Barna Bakó & Attila Tasnádi, 2017. "The Kreps-Scheinkman Game in Mixed Duopolies," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 173(4), pages 753-768, December.
    5. De Francesco, Massimo A. & Salvadori, Neri, 2008. "Bertrand-Edgeworth games under oligopoly with a complete characterization for the triopoly," MPRA Paper 10767, University Library of Munich, Germany, revised 26 Sep 2008.
    6. Simon Loertscher & Leslie Marx, 2014. "An Oligopoly Model for Analyzing and Evaluating (Re)-Assignments of Spectrum Licenses," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 45(3), pages 245-273, November.
    7. De Francesco, Massimo A. & Salvadori, Neri, 2016. "Bertrand-Edgeworth games under triopoly: the equilibrium strategies when the payoffs of the two smallest firms are proportional to their capacities," MPRA Paper 69999, University Library of Munich, Germany.
    8. De Francesco, Massimo A. & Salvadori, Neri, 2015. "Bertrand-Edgeworth games under triopoly: the payoffs," MPRA Paper 64638, University Library of Munich, Germany.

    More about this item

    Keywords

    Market making; capacity constraints; price competition;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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