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Supply Chain Competition with Multiple Manufacturers and Retailers

Author

Listed:
  • Elodie Adida

    (Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, Chicago, Illinois 60607)

  • Victor DeMiguel

    (Department of Management Science and Operations, London Business School, London NW1 4SA, United Kingdom)

Abstract

We study competition in a supply chain where multiple manufacturers compete in quantities to supply a set of products to multiple risk-averse retailers who compete in quantities to satisfy the uncertain consumer demand. For the symmetric supply chain, we give closed-form expressions for the unique equilibrium. We find that, provided there is a sufficiently large number of manufacturers and retailers, the supply chain efficiency (the ratio of the aggregate utility in the decentralized and centralized chains) can be raised to 1 by inducing the right degree of retailer differentiation. Also, risk aversion results in triple marginalization: retailers require a strictly positive margin to distribute even when they are perfectly competitive, because otherwise they are unwilling to undertake the risk associated with the uncertainty in demand. For the asymmetric supply chain, we show how numerical optimization can be used to compute the equilibria, and we find that the supply chain efficiency may drop sharply with the asymmetry of either manufacturers or retailers. We also find that the introduction of asymmetric product assortment reduces the degree of competition among retailers and thus has an effect similar to that of reducing the number of retailers. We show that, unlike in the symmetric chain, the asymmetric chain efficiency depends on product differentiation and risk aversion because of the interaction between these features and the asymmetry of manufacturers and retailers.

Suggested Citation

  • Elodie Adida & Victor DeMiguel, 2011. "Supply Chain Competition with Multiple Manufacturers and Retailers," Operations Research, INFORMS, vol. 59(1), pages 156-172, February.
  • Handle: RePEc:inm:oropre:v:59:y:2011:i:1:p:156-172
    DOI: 10.1287/opre.1100.0863
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    References listed on IDEAS

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    1. Victor DeMiguel & Huifu Xu, 2009. "A Stochastic Multiple-Leader Stackelberg Model: Analysis, Computation, and Application," Operations Research, INFORMS, vol. 57(5), pages 1220-1235, October.
    2. Rajeev K. Tyagi, 1999. "On the Effects of Downstream Entry," Management Science, INFORMS, vol. 45(1), pages 59-73, January.
    3. Serguei Netessine & Fuqiang Zhang, 2005. "Positive vs. Negative Externalities in Inventory Management: Implications for Supply Chain Design," Manufacturing & Service Operations Management, INFORMS, vol. 7(1), pages 58-73, January.
    4. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    5. Xinmin Hu & Daniel Ralph, 2007. "Using EPECs to Model Bilevel Games in Restructured Electricity Markets with Locational Prices," Operations Research, INFORMS, vol. 55(5), pages 809-827, October.
    6. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    7. Georgia Perakis & Guillaume Roels, 2007. "The Price of Anarchy in Supply Chains: Quantifying the Efficiency of Price-Only Contracts," Management Science, INFORMS, vol. 53(8), pages 1249-1268, August.
    8. Fernando Bernstein & Awi Federgruen, 2005. "Decentralized Supply Chains with Competing Retailers Under Demand Uncertainty," Management Science, INFORMS, vol. 51(1), pages 18-29, January.
    9. Joseph J. Spengler, 1950. "Vertical Integration and Antitrust Policy," Journal of Political Economy, University of Chicago Press, vol. 58, pages 347-347.
    10. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    11. Jan A. Van Mieghem, 2007. "Risk Mitigation in Newsvendor Networks: Resource Diversification, Flexibility, Sharing, and Hedging," Management Science, INFORMS, vol. 53(8), pages 1269-1288, August.
    12. Pranab Majumder & Ashok Srinivasan, 2008. "Leadership and Competition in Network Supply Chains," Management Science, INFORMS, vol. 54(6), pages 1189-1204, June.
    13. Manu Goyal & Serguei Netessine, 2007. "Strategic Technology Choice and Capacity Investment Under Demand Uncertainty," Management Science, INFORMS, vol. 53(2), pages 192-207, February.
    14. S. Chan Choi, 1991. "Price Competition in a Channel Structure with a Common Retailer," Marketing Science, INFORMS, vol. 10(4), pages 271-296.
    15. Lode Li, 2002. "Information Sharing in a Supply Chain with Horizontal Competition," Management Science, INFORMS, vol. 48(9), pages 1196-1212, September.
    16. Gérard P. Cachon & Martin A. Lariviere, 2005. "Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations," Management Science, INFORMS, vol. 51(1), pages 30-44, January.
    17. Vipul Agrawal & Sridhar Seshadri, 2000. "Impact of Uncertainty and Risk Aversion on Price and Order Quantity in the Newsvendor Problem," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 410-423, July.
    18. Hau Lee & Seungjin Whang, 2002. "The Impact of the Secondary Market on the Supply Chain," Management Science, INFORMS, vol. 48(6), pages 719-731, June.
    19. 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.
    20. Ferris, Michael C. & Munson, Todd S., 2000. "Complementarity problems in GAMS and the PATH solver," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 165-188, February.
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