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A General Equilibrium Model for Industries with Price and Service Competition

Author

Listed:
  • Fernando Bernstein

    (The Fuqua School of Business, Duke University, Durham, North Carolina 27708)

  • Awi Federgruen

    (Graduate School of Business, Columbia University, New York, New York 10027)

Abstract

This paper develops a stochastic general equilibrium inventory model for an oligopoly, in which all inventory constraint parameters are endogenously determined. We propose several systems of demand processes whose distributions are functions of all retailers' prices and all retailers' service levels. We proceed with the investigation of the equilibrium behavior of infinite-horizon models for industries facing this type of generalized competition, under demand uncertainty.We systematically consider the following three competition scenarios. (1) Price competition only: Here, we assume that the firms' service levels are exogenously chosen, but characterize how the price and inventory strategy equilibrium vary with the chosen service levels. (2) Simultaneous price and service-level competition: Here, each of the firms simultaneously chooses a service level and a combined price and inventory strategy. (3) Two-stage competition: The firms make their competitive choices sequentially. In a first stage, all firms simultaneously choose a service level; in a second stage, the firms simultaneously choose a combined pricing and inventory strategy with full knowledge of the service levels selected by all competitors. We show that in all of the above settings a Nash equilibrium of infinite-horizon stationary strategies exists and that it is of a simple structure, provided a Nash equilibrium exists in a so-called reduced game.We pay particular attention to the question of whether a firm can choose its service level on the basis of its own (input) characteristics (i.e., its cost parameters and demand function) only. We also investigate under which of the demand models a firm, under simultaneous competition, responds to a change in the exogenously specified characteristics of the various competitors by either: (i) adjusting its service level and price in the same direction, thereby compensating for price increases (decreases) by offering improved (inferior) service, or (ii) adjusting them in opposite directions, thereby simultaneously offering better or worse prices and service.

Suggested Citation

  • Fernando Bernstein & Awi Federgruen, 2004. "A General Equilibrium Model for Industries with Price and Service Competition," Operations Research, INFORMS, vol. 52(6), pages 868-886, December.
    • Handle: RePEc:inm:oropre:v:52:y:2004:i:6:p:868-886
    DOI: 10.1287/opre.1040.0149
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    References listed on IDEAS

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    1. Michael Spence, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(2), pages 217-235.
    2. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    3. Jan A. Van Mieghem & Maqbool Dada, 1999. "Price Versus Production Postponement: Capacity and Competition," Management Science, INFORMS, vol. 45(12), pages 1639-1649, December.
    4. Ernst, Ricardo & Powell, Stephen G., 1998. "Manufacturer incentives to improve retail service levels," European Journal of Operational Research, Elsevier, vol. 104(3), pages 437-450, February.
    5. SCHMALENSEE, Richard & THISSE, Jacques-François, 1988. "Perceptual maps and the optimal location of new products: an integrative essay," LIDAM Reprints CORE 840, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. Fernando Bernstein & Awi Federgruen, 2004. "Dynamic inventory and pricing models for competing retailers," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(2), pages 258-274, March.
    7. Kirman, Alan P & Sobel, Matthew J, 1974. "Dynamic Oligopoly with Inventories," Econometrica, Econometric Society, vol. 42(2), pages 279-287, March.
    8. Daniel McFadden, 1986. "The Choice Theory Approach to Market Research," Marketing Science, INFORMS, vol. 5(4), pages 275-297.
    9. Andy A. Tsay & Narendra Agrawal, 2000. "Channel Dynamics Under Price and Service Competition," Manufacturing & Service Operations Management, INFORMS, vol. 2(4), pages 372-391, August.
    10. Ernst, Ricardo & Powell, Stephen G., 1995. "Optimal inventory policies under service-sensitive demand," European Journal of Operational Research, Elsevier, vol. 87(2), pages 316-327, December.
    11. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    12. Avinash Dixit, 1979. "Quality and Quantity Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 46(4), pages 587-599.
    13. Joskow, Paul L. & Rose, Nancy L., 1989. "The effects of economic regulation," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 2, chapter 25, pages 1449-1506, Elsevier.
    14. David R. Graham & Daniel P. Kaplan & David S. Sibley, 1983. "Efficiency and Competition in the Airline Industry," Bell Journal of Economics, The RAND Corporation, vol. 14(1), pages 118-138, Spring.
    15. McFadden, Daniel, 1980. "Econometric Models for Probabilistic Choice among Products," The Journal of Business, University of Chicago Press, vol. 53(3), pages 13-29, July.
    16. Uday S. Karmarkar & Richard C. Pitbladdo, 1997. "Quality, Class, and Competition," Management Science, INFORMS, vol. 43(1), pages 27-39, January.
    17. B. L. Schwartz, 1970. "Optimal Inventory Policies in Perturbed Demand Models," Management Science, INFORMS, vol. 16(8), pages 509-518, April.
    18. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
    19. David Besanko & Sachin Gupta & Dipak Jain, 1998. "Logit Demand Estimation Under Competitive Pricing Behavior: An Equilibrium Framework," Management Science, INFORMS, vol. 44(11-Part-1), pages 1533-1547, November.
    20. Suman Basuroy & Dung Nguyen, 1998. "Multinomial Logit Market Share Models: Equilibrium Characteristics and Strategic Implications," Management Science, INFORMS, vol. 44(10), pages 1396-1408, October.
    21. Thomas W. Hill, Jr., 1976. "A Simple Perturbed Demand Inventory Model with Ordering Cost," Management Science, INFORMS, vol. 23(1), pages 38-42, September.
    22. Benjamin L. Schwartz, 1966. "A New Approach to Stockout Penalties," Management Science, INFORMS, vol. 12(12), pages 538-544, August.
    23. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 2, number 2.
    24. Dana, James D, Jr, 2001. "Competition in Price and Availability When Availability is Unobservable," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 497-513, Autumn.
    25. Rajiv D. Banker & Inder Khosla & Kingshuk K. Sinha, 1998. "Quality and Competition," Management Science, INFORMS, vol. 44(9), pages 1179-1192, September.
    26. Lode Li, 1992. "The Role of Inventory in Delivery-Time Competition," Management Science, INFORMS, vol. 38(2), pages 182-197, February.
    27. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
    28. J. Miguel Villas-Boas & Russell S. Winer, 1999. "Endogeneity in Brand Choice Models," Management Science, INFORMS, vol. 45(10), pages 1324-1338, October.
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