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

Author

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  • Simon P. Anderson
  • Andre de Palma
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.

Suggested Citation

  • Simon P. Anderson & Andre de Palma, 1989. "The Logit as a Model of Product Differentiation: Further Results and Extensions," Discussion Papers 913, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:913
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    References listed on IDEAS

    as
    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. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-640, May.
    3. Jeffrey M. Perloff & Steven C. Salop, 1985. "Equilibrium with Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 107-120.
    4. Simon Anderson & Andre de Palma, 1985. "Market Equilibrium and Optimal Product Diversity: A Logit Specification," Working Paper 630, Economics Department, Queen's University.
    5. Feenstra, R.C. & Levinsohn, J.A., 1989. "Distance, Demand, And Oligopoly Pricing," Working Papers 245, Research Seminar in International Economics, University of Michigan.
    6. 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.
    7. Flam, Harry & Helpman, Elhanan, 1987. "Industrial policy under monopolistic competition," Journal of International Economics, Elsevier, vol. 22(1-2), pages 79-102, February.
    8. 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.
    9. Blanchard, Olivier Jean & Kiyotaki, Nobuhiro, 1987. "Monopolistic Competition and the Effects of Aggregate Demand," American Economic Review, American Economic Association, vol. 77(4), pages 647-666, September.
    10. Simon P. Anderson & André De Palma & Jacques-François Thisse, 1989. "Demand for Differentiated Products, Discrete Choice Models, and the Characteristics Approach," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(1), pages 21-35.
    11. repec:ulb:ulbeco:2013/1759 is not listed on IDEAS
    12. 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.
    13. Colin Lawrence & Pablo T. Spiller, 1983. "Product Diversity, Economies of Scale, and International Trade," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(1), pages 63-83.
    14. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-781, July.
    15. 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 461-466, August.
    16. 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.
    17. Daniel McFadden, 1977. "Modelling the Choice of Residential Location," Cowles Foundation Discussion Papers 477, Cowles Foundation for Research in Economics, Yale University.
    18. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    19. Feenstra, Robert C & Judd, Kenneth L, 1982. "Tariffs, Technology Transfer, and Welfare," Journal of Political Economy, University of Chicago Press, vol. 90(6), pages 1142-1165, December.
    20. Michael Sattinger, 1984. "Value of an Additional Firm in Monopolistic Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(2), pages 321-332.
    21. 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.
    22. Paul Krugman, 1982. "Trade in Differentiated Products and the Political Economy of Trade Liberalization," NBER Chapters, in: Import Competition and Response, pages 197-222, National Bureau of Economic Research, Inc.
    23. Anderson, S. & De Palma, A. & Thisse, J.-F., 1987. "Demand for differentiated products, discrete choice models, and the address appoach," LIDAM Discussion Papers CORE 1987002, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    24. Simon P. Anderson & André De Palma, 1988. "Spatial Price Discrimination with Heterogeneous Products," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 573-592.
    25. repec:fth:michin:245 is not listed on IDEAS
    26. Raymond Deneckere & Michael Rothschild, 1986. "Monopolistic Competition and Preference Diversity," Discussion Papers 684, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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