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Note: The Newsvendor Model with Endogenous Demand

Author

Listed:
  • James D. Dana, Jr.

    () (Department of Management and Strategy, Kellogg School of Management, Northwestern University, 2001 Sheridan Road, Evanston, Illinois 60208-2013)

  • Nicholas C. Petruzzi

    () (University of Illinois, 350 Wohlers Hall, 1206 South Sixth Street, Champaign, Illinois 61820)

Abstract

This paper considers a firm's price and inventory policy when it faces uncertain demand that depends on both price and inventory level. The authors extend the classic newsvendor model by assuming that expected utility maximizing consumers choose between visiting the firm and consuming an exogenous outside option. The outside option represents the utility the consumer forgoes when she chooses to visit the firm before knowing whether or not the product will be available. The authors investigate both the case in which the firm's price is exogenous and the case in which price is chosen optimally. The paper makes two contributions. First, the authors show that the firm holds more inventories, provides a higher fill rate, attracts more customers, and earns higher profits when it internalizes the effect of its inventory on demand. Second, the authors show that in the endogenous price case the firm's two-dimensional decision problem can be reduced to two, sequential, single-variable optimizations. As a result, the endogenous-price case is as easy to solve as the exogenous-price case.

Suggested Citation

  • James D. Dana, Jr. & Nicholas C. Petruzzi, 2001. "Note: The Newsvendor Model with Endogenous Demand," Management Science, INFORMS, vol. 47(11), pages 1488-1497, November.
  • Handle: RePEc:inm:ormnsc:v:47:y:2001:i:11:p:1488-1497
    as

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    File URL: http://dx.doi.org/10.1287/mnsc.47.11.1488.10252
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    References listed on IDEAS

    as
    1. Khouja, Moutaz, 1999. "The single-period (news-vendor) problem: literature review and suggestions for future research," Omega, Elsevier, vol. 27(5), pages 537-553, October.
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    3. Eden, Benjamin, 1990. "Marginal Cost Pricing When Spot Markets Are Complete," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1293-1306, December.
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    9. Raymond Deneckere & James Peck, 1995. "Competition Over Price and Service Rate When Demand is Stochastic: A Strategic Analysis," RAND Journal of Economics, The RAND Corporation, vol. 26(1), pages 148-162, Spring.
    10. B. L. Schwartz, 1970. "Optimal Inventory Policies in Perturbed Demand Models," Management Science, INFORMS, vol. 16(8), pages 509-518, April.
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    12. Bryant, John, 1980. "Competitive Equilibrium with Price Setting Firms and Stochastic Demand," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(3), pages 619-626, October.
    13. James D. Dana Jr., 1999. "Equilibrium Price Dispersion Under Demand Uncertainty: The Roles of Costly Capacity and Market Structure," RAND Journal of Economics, The RAND Corporation, vol. 30(4), pages 632-660, Winter.
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