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Nonlinear Pricing in Vertically Related Duopolies

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Author Info
Kai-Uwe Kuhn

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Abstract

A vertically separated duopolistic market is analyzed in which manufacturers compete in wholesale price schedules and retailers in quantity. Under certainty there exists a continuum of equilibria. The introduction of an uncertain demand parameter, observed only by retailers, dramatically reduces the set of equilibria. Quantity discounts emerge in markets with only moderately decreasing returns to scale in manufacturing (and quantity competition downstream). With additive shocks to demand the equilibria coincide with those of markets in which vertically integrated firms compete in supply functions before market uncertainty is resolved. However, generically equilibria in my model are not supply function equilibria.

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Publisher Info
Article provided by The RAND Corporation in its journal RAND Journal of Economics.

Volume (Year): 28 (1997)
Issue (Month): 1 (Spring)
Pages: 37-62
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Handle: RePEc:rje:randje:v:28:y:1997:i:spring:p:37-62

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  1. Stiegert, Kyle W. & Wang, Shinn-Shyr, 2003. "Imperfect Competition And Strategic Trade Theory: What Have We Learned," Working Papers 14589, International Agricultural Trade Research Consortium. [Downloadable!]
  2. Chidmi, Benaissa & Lopez, Rigoberto A. & Cotterill, Ronald W., 2004. "Vertical Relationships In The Ready-To-Eat Breakfast Cereal Market: A Brand-Supermarket Level Analysis," 2004 Annual meeting, August 1-4, Denver, CO 19916, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association). [Downloadable!]
  3. Hamilton, Stephan F. & Requate, Till, 2001. "Vertical Structure and Strategic Environmental Trade Policy," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  4. Juan Delgado, 2005. "Coalition-Proof Supply Function Equilibria Under Capacity Constraints," Economics Working Papers we052314, Universidad Carlos III, Departamento de Economía. [Downloadable!]
    Other versions:
  5. Roman Inderst & Christian Wey, 2003. "Buyer Power and Supplier Incentives," CIG Working Papers SP II 2003-05, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG). [Downloadable!]
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  6. Bulut, Harun & Koray, Semih, 2008. "Competition and Regulation via Supply and Demand Functions in Oligopolistic-Oligopsonistic Markets," Staff General Research Papers 12930, Iowa State University, Department of Economics. [Downloadable!]
  7. Jakub Kastl & David Martimort & Salvatore Piccolo, 2009. ""When Should Manufacturers Want Fair Trade?": New Insights from Asymmetric Information," CSEF Working Papers 218, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy, revised 17 Oct 2009. [Downloadable!]
  8. Kang, Yeongjae, 1996. "Unobservable Vertical Restraints and Interbrand Competition," Working Paper Series in Economics and Finance 136, Stockholm School of Economics. [Downloadable!]
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