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When Can A Demand System Be Described By A Multinomial Logit With Income Effect?

Author

Listed:
  • Jacques-Francois Thisse
  • Philip Ushchev

    (National Research University Higher School of Economics)

Abstract

We show that a wide class of demand systems for dierentiated products, such as those generated by additive preferences, indirectly additive preferences, and Kimball-like homothetic preferences, can be given a multinomial logit foundation provided that the conditional indirect utility is nonlinear and varies with the whole price array.

Suggested Citation

  • Jacques-Francois Thisse & Philip Ushchev, 2016. "When Can A Demand System Be Described By A Multinomial Logit With Income Effect?," HSE Working papers WP BRP 139/EC/2016, National Research University Higher School of Economics.
  • Handle: RePEc:hig:wpaper:139/ec/2016
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    File URL: https://www.hse.ru/data/2016/06/01/1130394265/139EC2016.pdf
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    References listed on IDEAS

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    1. Evgeny Zhelobodko & Sergey Kokovin & Mathieu Parenti & Jacques‐François Thisse, 2012. "Monopolistic Competition: Beyond the Constant Elasticity of Substitution," Econometrica, Econometric Society, vol. 80(6), pages 2765-2784, November.
    2. Pablo Fajgelbaum & Gene M. Grossman & Elhanan Helpman, 2011. "Income Distribution, Product Quality, and International Trade," Journal of Political Economy, University of Chicago Press, vol. 119(4), pages 721-765.
    3. Osharin, Alexander & Thisse, Jacques-François & Ushchev, Philip & Verbus, Valery, 2014. "Monopolistic competition and income dispersion," Economics Letters, Elsevier, vol. 122(2), pages 348-352.
    4. Gita Gopinath & Oleg Itskhoki, 2010. "Frequency of Price Adjustment and Pass-Through," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(2), pages 675-727.
    5. Armstrong, Mark & Vickers, John, 2015. "Which demand systems can be generated by discrete choice?," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 293-307.
    6. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    7. Trevor Tombe & Xiaodong Zhu, 2019. "Trade, Migration, and Productivity: A Quantitative Analysis of China," American Economic Review, American Economic Association, vol. 109(5), pages 1843-1872, May.
    8. Gianmarco Ottaviano & Takatoshi Tabuchi & Jacques-François Thisse, 2021. "Agglomeration And Trade Revisited," World Scientific Book Chapters, in: Firms and Workers in a Globalized World Larger Markets, Tougher Competition, chapter 3, pages 59-85, World Scientific Publishing Co. Pte. Ltd..
    9. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    10. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
    11. Ina Simonovska, 2015. "Income Differences and Prices of Tradables: Insights from an Online Retailer," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(4), pages 1612-1656.
    12. Paolo Bertoletti & Federico Etro, 2017. "Monopolistic Competition when Income Matters," Economic Journal, Royal Economic Society, vol. 127(603), pages 1217-1243, August.
    13. Costas Arkolakis & Arnaud Costinot & Dave Donaldson & Andrés Rodríguez-Clare, 2019. "The Elusive Pro-Competitive Effects of Trade," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 46-80.
    14. Anderson, Simon P & de Palma, Andre & Nesterov, Yurii, 1995. "Oligopolistic Competition and the Optimal Provision of Products," Econometrica, Econometric Society, vol. 63(6), pages 1281-1301, November.
    15. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
    16. Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470.
    17. Ina Simonovska, 2009. "Income Differences and Prices of Tradables," 2009 Meeting Papers 692, Society for Economic Dynamics.
    18. Kimball, Miles S, 1995. "The Quantitative Analytics of the Basic Neomonetarist Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1241-1277, November.
    19. 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.
    20. Behrens, Kristian & Murata, Yasusada, 2007. "General equilibrium models of monopolistic competition: A new approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 776-787, September.
    21. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    22. Pablo D. Fajgelbaum, 2011. "Income Distribution, Product Quality and International Trade," 2011 Meeting Papers 415, Society for Economic Dynamics.
    23. Sen, Amartya, 1988. "Freedom of choice : Concept and content," European Economic Review, Elsevier, vol. 32(2-3), pages 269-294, March.
    24. Jaffe, Sonia & Kominers, Scott Duke, 2012. "Discrete choice cannot generate demand that is additively separable in own price," Economics Letters, Elsevier, vol. 116(1), pages 129-132.
    25. Jessie Handbury & David E. Weinstein, 2015. "Goods Prices and Availability in Cities," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 258-296.
    26. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
    27. Jessie Handbury, 2019. "Are Poor Cities Cheap for Everyone? Non-Homotheticity and the Cost of Living Across U.S. Cities," NBER Working Papers 26574, National Bureau of Economic Research, Inc.
    28. BILLOT, Antoine & THISSE, Jacques-François, 1999. "A discrete choice model when context matters," LIDAM Reprints CORE 1434, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Redding, Stephen J. & Weinstein, David E., 2016. "A unified approach to estimating demand and welfare," LSE Research Online Documents on Economics 67681, London School of Economics and Political Science, LSE Library.
    2. Federico Etro, 2023. "Hybrid Marketplaces with Free Entry of Sellers," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 62(2), pages 119-148, March.
    3. Colin J. Hottman & Ryan Monarch, 2018. "Estimating Unequal Gains across U.S. Consumers with Supplier Trade Data," Working Papers 18-04, Center for Economic Studies, U.S. Census Bureau.
    4. Matveenko, Andrei, 2020. "Logit, CES, and rational inattention," Economics Letters, Elsevier, vol. 186(C).
    5. Beck, Günter W. & Lein, Sarah M., 2020. "Price elasticities and demand-side real rigidities in micro data and in macro models," Journal of Monetary Economics, Elsevier, vol. 115(C), pages 200-212.
    6. Stephen J Redding & David E Weinstein, 2020. "Measuring Aggregate Price Indices with Taste Shocks: Theory and Evidence for CES Preferences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(1), pages 503-560.
    7. Fally, Thibault, 2022. "Generalized separability and integrability: Consumer demand with a price aggregator," Journal of Economic Theory, Elsevier, vol. 203(C).
    8. Behrens, Kristian & Murata, Yasusada, 2021. "On quantitative spatial economic models," Journal of Urban Economics, Elsevier, vol. 123(C).
    9. Etro, Federico, 2017. "Research in economics and monopolistic competition," Research in Economics, Elsevier, vol. 71(4), pages 645-649.
    10. Lashkaripour, Ahmad, 2020. "Discrete trade," Journal of International Economics, Elsevier, vol. 126(C).

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    More about this item

    Keywords

    discrete choice; multinomial logit; demand systems; additive preferences; homothetic preferences;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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