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Integrability and Generalized Separability

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  • Thibault Fally

Abstract

This paper examines demand systems where the demand for a good depends only on its own price, consumer income, and a single aggregator synthesizing information on all other prices. This generalizes directly-separable preferences where the Lagrange multiplier provides such an aggregator. As indicated by Gorman (1972), symmetry of the Slutsky substitution terms implies that such demand can take only one of two simple forms. Conversely, here we show that only weak conditions ensure that such demand systems are integrable, i.e. can be derived from the maximization of a well-behaved utility function. This paper further studies useful properties and applications of these demand systems.

Suggested Citation

  • Thibault Fally, 2018. "Integrability and Generalized Separability," NBER Working Papers 25025, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:25025
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    References listed on IDEAS

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    1. Justin Caron & Thibault Fally & James R. Markusen, 2021. "International Trade Puzzles: A Solution Linking Production And Preferences," World Scientific Book Chapters, in: BROADENING TRADE THEORY Incorporating Market Realities into Traditional Models, chapter 11, pages 199-250, World Scientific Publishing Co. Pte. Ltd..
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    14. Monika Mrázová & J. Peter Neary & Mathieu Parenti, 2021. "Sales and Markup Dispersion: Theory and Empirics," Econometrica, Econometric Society, vol. 89(4), pages 1753-1788, July.
    15. Justin Caron & Thibault Fally & James Markusen, 2021. "Per capita income and the demand for skills," World Scientific Book Chapters, in: BROADENING TRADE THEORY Incorporating Market Realities into Traditional Models, chapter 12, pages 251-268, World Scientific Publishing Co. Pte. Ltd..
    16. Marc J. Melitz & Gianmarco I. P. Ottaviano, 2008. "Market Size, Trade, and Productivity (DOI:10.111/j.1467-937x.2007.00463.x)," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(3), pages 985-985.
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    23. Paolo Bertoletti & Federico Etro, 2017. "Monopolistic Competition when Income Matters," Economic Journal, Royal Economic Society, vol. 127(603), pages 1217-1243, August.
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    29. Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-730, May.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. David Atkin & Benjamin Faber & Thibault Fally & Marco Gonzalez-Navarro, 2024. "Measuring Welfare and Inequality with Incomplete Price Information," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 139(1), pages 419-475.
    2. Macedoni, Luca & Weinberger, Ariel, 2022. "Quality heterogeneity and misallocation: The welfare benefits of raising your standards," Journal of International Economics, Elsevier, vol. 134(C).
    3. Cavallari, Lilia, 2022. "The international real business cycle when demand matters," Journal of Macroeconomics, Elsevier, vol. 73(C).
    4. Benjamin Faber & Thibault Fally, 2022. "Firm Heterogeneity in Consumption Baskets: Evidence from Home and Store Scanner Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 89(3), pages 1420-1459.
    5. Paolo Bertoletti & Federico Etro, 2022. "Monopolistic competition, as you like it," Economic Inquiry, Western Economic Association International, vol. 60(1), pages 293-319, January.
    6. Badis Tabarki, 2020. "International Trade under Monopolistic Competition beyond the CES," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-02966937, HAL.
    7. Monika Mrázová & J. Peter Neary & Mathieu Parenti, 2021. "Sales and Markup Dispersion: Theory and Empirics," Econometrica, Econometric Society, vol. 89(4), pages 1753-1788, July.
    8. Hartmut Egger & Simone Habermeyer, 2019. "Nonhomothetic preferences and rent sharing in an open economy," CESifo Working Paper Series 7522, CESifo.
    9. Federico Etro, 2018. "Macroeconomics with Endogenous Markups and Optimal Taxation," Southern Economic Journal, John Wiley & Sons, vol. 85(2), pages 378-406, October.
    10. Fally, Thibault, 2019. "Generalized separability and the gains from trade," Economics Letters, Elsevier, vol. 178(C), pages 8-12.
    11. Badis Tabarki, 2020. "International Trade under Monopolistic Competition beyond the CES," Post-Print halshs-02966937, HAL.
    12. Luca Macedoni & Ariel Weinberger, 2021. "Quality Misallocation, Trade, and Regulations," CESifo Working Paper Series 9041, CESifo.
    13. Badis Tabarki, 2020. "International Trade under Monopolistic Competition beyond the CES," Documents de travail du Centre d'Economie de la Sorbonne 20018, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.

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    More about this item

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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