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Competition in Multiechelon Assembly Supply Chains

Author

Listed:
  • Scott M. Carr

    (The Anderson Graduate School of Management, University of California, Los Angeles, California 90095-1481)

  • Uday S. Karmarkar

    (The Anderson Graduate School of Management, University of California, Los Angeles, California 90095-1481)

Abstract

In this paper, we study competition in multiechelon supply chains with an assembly structure. Firms in the supply chain are grouped into homogenous sectors (nodes) that contain identical firms with identical production capabilities that all produce exactly one undifferentiated product (that may itself be a ÜkitÝ of components). Each sector may use several inputs to produce its product, and these inputs are supplied by different sectors. The production process within any sector is taken to be pure assembly in fixed proportions. The number of firms in each sector is known. The demand curve for the final product is assumed to be linear, as are production costs in all sectors. Competition is modeled via a Ücoordinated successive CournotÝ model in which firms choose production quantities for their downstream market so as to maximize profits, given prices for all inputs and all complementary products. Production quantities for sectors supplying the same successor are coordinated through pricing mechanisms, so that complementary products are produced in the right proportions. Under these assumptions, equilibrium prices for any multiechelon assembly network are characterized by a system of linear equations. We derive closed-form expressions for equilibrium quantities and prices in any two-stage system (i.e., a system with multiple input sectors and a single assembly sector). We show that any assembly structure can be converted to an equivalent (larger) structure in which no more than two components are assembled at any node. Finally, large structures can be solved either by direct solution of the characteristic linear equations or through an iterative reduction (compression) to smaller structures.

Suggested Citation

  • Scott M. Carr & Uday S. Karmarkar, 2005. "Competition in Multiechelon Assembly Supply Chains," Management Science, INFORMS, vol. 51(1), pages 45-59, January.
    • Handle: RePEc:inm:ormnsc:v:51:y:2005:i:1:p:45-59
    DOI: 10.1287/mnsc.1040.0216
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    References listed on IDEAS

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    1. Waterson, Michael, 1982. "Vertical Integration, Variable Proportions and Oligopoly," Economic Journal, Royal Economic Society, vol. 92(365), pages 129-144, March.
    2. Barrie R. Nault & Rajeev K. Tyagi, 2001. "Erratum: Implementable Mechanisms to Coordinate Horizontal Alliances," Management Science, INFORMS, vol. 47(10), pages 1440-1440, October.
    3. Abiru, Masahiro, 1988. "Vertical Integration, Variable Proportions and Successive Oligopolies," Journal of Industrial Economics, Wiley Blackwell, vol. 36(3), pages 315-325, March.
    4. S. Chan Choi, 1991. "Price Competition in a Channel Structure with a Common Retailer," Marketing Science, INFORMS, vol. 10(4), pages 271-296.
    5. John Vickers, 1995. "Competition and Regulation in Vertically Related Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 62(1), pages 1-17.
    6. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance," Management Science, INFORMS, vol. 45(8), pages 1091-1108, August.
    7. Michael A. Salinger, 1988. "Vertical Mergers and Market Foreclosure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(2), pages 345-356.
    8. Shaler Stidham, 1992. "Pricing and Capacity Decisions for a Service Facility: Stability and Multiple Local Optima," Management Science, INFORMS, vol. 38(8), pages 1121-1139, August.
    9. Jan A. Van Mieghem & Maqbool Dada, 1999. "Price Versus Production Postponement: Capacity and Competition," Management Science, INFORMS, vol. 45(12), pages 1639-1649, December.
    10. Greenhut, M L & Ohta, H, 1979. "Vertical Integration of Successive Oligopolists," American Economic Review, American Economic Association, vol. 69(1), pages 137-141, March.
    11. A. Michael Spence, 1977. "Entry, Capacity, Investment and Oligopolistic Pricing," Bell Journal of Economics, The RAND Corporation, vol. 8(2), pages 534-544, Autumn.
    12. Carmen Matutes & Pierre Regibeau, 1988. ""Mix and Match": Product Compatibility without Network Externalities," RAND Journal of Economics, The RAND Corporation, vol. 19(2), pages 221-234, Summer.
    13. Colangelo, Giuseppe, 1995. "Vertical vs. Horizontal Integration: Pre-emptive Merging," Journal of Industrial Economics, Wiley Blackwell, vol. 43(3), pages 323-337, September.
    14. Ziss, Steffen, 1995. "Vertical Separation and Horizontal Mergers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 63-75, March.
    15. Abiru, Masahiro & Nahata, Babu & Raychaudhuri, Subhashis & Waterson, Michael, 1998. "Equilibrium structures in vertical oligopoly," Journal of Economic Behavior & Organization, Elsevier, vol. 37(4), pages 463-480, December.
    16. Salinger, Michael A, 1989. "The Meaning of "Upstream" and "Downstream" and the Implications for Modeling Vertical Mergers," Journal of Industrial Economics, Wiley Blackwell, vol. 37(4), pages 373-387, June.
    17. Barrie R. Nault & Rajeev K. Tyagi, 2001. "Implementable Mechanisms to Coordinate Horizontal Alliances," Management Science, INFORMS, vol. 47(6), pages 787-799, June.
    18. Charles J. Corbett & Uday S. Karmarkar, 2001. "Competition and Structure in Serial Supply Chains with Deterministic Demand," Management Science, INFORMS, vol. 47(7), pages 966-978, July.
    19. Michael Waterson, 1980. "Price-Cost Margins and Successive Market Power," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(1), pages 135-150.
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