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The Logit as a Model of Product Differentiation: Further Results and Extensions

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Simon P. Anderson
Andre de Palma

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Abstract

There is a growing interest in using the discrete choice approach to study oligopolistic competition under product differentiation, and a prominent discrete choic model is the multinomial logit. Here we analyze various aspects of the logit in this context. We first show that the predictions of the logit are very similar to those of the well-known CES model and explain why this is so. We next discuss the existence and the uniqueness of a price equilibrium for a general version of the logit. We illustrate (using the logit) the flexibility and tractability of the discrete choic approach for two diferent problems. The first of these finds a free-entry equlibrium with multiproduct firms. The second uses the logit to construct a simple search model. We also introduce the nested logit as an oligopoly model and apply it to these two problems.

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Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 913.

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Date of creation: Dec 1989
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Handle: RePEc:nwu:cmsems:913

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Keywords: Discrete choice model CES model oligopolistic competition multiple product firms nested logit model.

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  1. McFadden, Daniel, 1989. "A Method of Simulated Moments for Estimation of Discrete Response Models without Numerical Integration," Econometrica, Econometric Society, vol. 57(5), pages 995-1026, September. [Downloadable!] (restricted)
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  2. Sattinger, Michael, 1984. "Value of an Additional Firm in Monopolistic Competition," Review of Economic Studies, Blackwell Publishing, vol. 51(2), pages 321-32, April. [Downloadable!] (restricted)
  3. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-66, September. [Downloadable!] (restricted)
  4. Feenstra, R.C. & Levinsohn, J.A., 1989. "Distance, Demand, And Oligopoly Pricing," Working Papers 245, Research Seminar in International Economics, University of Michigan.
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  5. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-40, May. [Downloadable!] (restricted)
  6. Anderson, Simon P & de Palma, Andre, 1988. "Spatial Price Discrimination with Heterogeneous Products," Review of Economic Studies, Blackwell Publishing, vol. 55(4), pages 573-92, October. [Downloadable!] (restricted)
  7. Simon Anderson & Andre de Palma, 1985. "Market Equilibrium and Optimal Product Diversity: A Logit Specification," Working Papers 630, Queen's University, Department of Economics.
  8. Anderson, Simon P. & De Palma, Andre & Thisse, Jacques-Francois, 1987. "The CES is a discrete choice model?," Economics Letters, Elsevier, vol. 24(2), pages 139-140. [Downloadable!] (restricted)
  9. Spence, Michael, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Blackwell Publishing, vol. 43(2), pages 217-35, June. [Downloadable!] (restricted)
  10. Roger W. Koenker & Martin K. Perry, 1981. "Product Differentiation, Monopolistic Competition, and Public Policy," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 217-231, Spring. [Downloadable!] (restricted)
  11. Kenneth E. Train & Daniel L. McFadden & Moshe Ben-Akiva, 1987. "The Demand for Local Telephone Service: A Fully Discrete Model of Residential Calling Patterns and Service Choices," RAND Journal of Economics, The RAND Corporation, vol. 18(1), pages 109-123, Spring. [Downloadable!] (restricted)
  12. Feenstra, Robert C & Judd, Kenneth L, 1982. "Tariffs, Technology Transfer, and Welfare," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1142-65, December. [Downloadable!] (restricted)
  13. repec:fth:michin:245 is not listed on IDEAS
  14. Anderson, Simon P & de Palma, Andre & Thisse, Jacques-Francois, 1989. "Demand for Differentiated Products, Discrete Choice Models, and the Characteristics Approach," Review of Economic Studies, Blackwell Publishing, vol. 56(1), pages 21-35, January. [Downloadable!] (restricted)
  15. Flam, Harry & Helpman, Elhanan, 1987. "Industrial policy under monopolistic competition," Journal of International Economics, Elsevier, vol. 22(1-2), pages 79-102, February. [Downloadable!] (restricted)
  16. Braid, Ralph M., 1988. "Heterogeneous preferences and non-central agglomeration of firms," Regional Science and Urban Economics, Elsevier, vol. 18(1), pages 57-68, February. [Downloadable!] (restricted)
  17. Anderson, Simon Peter & de Palma, Andre & Thisse, Jacques-Francois, 1988. "A Representative Consumer Theory of the Logit Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(3), pages 461-66, August. [Downloadable!] (restricted)
  18. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Cowles Foundation Discussion Papers 937, Cowles Foundation, Yale University. [Downloadable!]
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  19. Lawrence, Colin & Spiller, Pablo T, 1983. "Product Diversity, Economies of Scale, and International Trade," The Quarterly Journal of Economics, MIT Press, vol. 98(1), pages 63-83, February. [Downloadable!] (restricted)
  20. Raymond Deneckere & Michael Rothschild, 1986. "Monopolistic Competition and Preference Diversity," Discussion Papers 684, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  21. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-81, July. [Downloadable!] (restricted)
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