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Pricing in a duopoly with a lead time advantage

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  • Martinez de Albeniz, Victor

    () (IESE Business School)

Abstract

We analyze the price competition between two suppliers offering two different lead times and two different prices to a buyer. The buyer chooses its inventory replenishment policy in order to minimize its infinite-horizon average cost. In essence, the fast and expensive supplier is used only in emergencies, while the slow and cheap supplier receives the bulk of the orders. Thus, despite a higher price, the fast supplier is able to capture a part of the buyer's orders. We analyze the price competition between the asymmetric suppliers, where the market share of each supplier is derived from the buyer's inventory problem. We find equilibria that differ significantly from the Bertrand price-only competition. In particular, for some cost parameters, the fast supplier is able to charge a premium for faster delivery, and stay in business even with a higher production cost. We obtain in some cases closed-form formulas for the price difference in equilibrium. Hence, our results show that high cost suppliers may not be driven out of business if they can offer fast delivery.

Suggested Citation

  • Martinez de Albeniz, Victor, 2007. "Pricing in a duopoly with a lead time advantage," IESE Research Papers D/720, IESE Business School.
  • Handle: RePEc:ebg:iesewp:d-0720
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    File URL: http://www.iese.edu/research/pdfs/DI-0720-E.pdf
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    References listed on IDEAS

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    1. Parlar, Mahmut & Wang, Dan, 1993. "Diversification under yield randomness in inventory models," European Journal of Operational Research, Elsevier, vol. 66(1), pages 52-64, April.
    2. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    3. Ravi Anupindi & Ram Akella, 1993. "Diversification Under Supply Uncertainty," Management Science, INFORMS, vol. 39(8), pages 944-963, August.
    4. Brian Tomlin, 2006. "On the Value of Mitigation and Contingency Strategies for Managing Supply Chain Disruption Risks," Management Science, INFORMS, vol. 52(5), pages 639-657, May.
    5. Yoichiro Fukuda, 1964. "Optimal Policies for the Inventory Problem with Negotiable Leadtime," Management Science, INFORMS, vol. 10(4), pages 690-708, July.
    6. Kamran Moinzadeh & Steven Nahmias, 1988. "A Continuous Review Model for an Inventory System with Two Supply Modes," Management Science, INFORMS, vol. 34(6), pages 761-773, June.
    7. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
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    Keywords

    offshoring; dual sourcing;

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