IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2311.06740.html
   My bibliography  Save this paper

Aggregation and Closed-Form Results for Nonhomothetic CES Preferences

Author

Listed:
  • Clement E. Bohr
  • Mart'i Mestieri
  • Emre Enes Yavuz

Abstract

We provide four novel results for nonhomothetic Constant Elasticity of Substitution preferences (Hanoch, 1975). First, we derive a closed-form representation of the expenditure function of nonhomothetic CES under relatively flexible distributional assumptions of demand and price distribution parameters. Second, we characterize aggregate demand from heterogeneous households in closed-form, assuming that household total expenditures follow an empirically plausible distribution. Third, we leverage these results to study the Euler equation arising from standard intertemporal consumption-saving problems featuring within-period nonhomothetic CES preferences. Finally, we show that nonhomothetic CES expenditure shares arise as the solution of a discrete-choice logit problem.

Suggested Citation

  • Clement E. Bohr & Mart'i Mestieri & Emre Enes Yavuz, 2023. "Aggregation and Closed-Form Results for Nonhomothetic CES Preferences," Papers 2311.06740, arXiv.org.
    • Handle: RePEc:arx:papers:2311.06740
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2311.06740
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Salem, A B Z & Mount, T D, 1974. "A Convenient Descriptive Model of Income Distribution: The Gamma Density," Econometrica, Econometric Society, vol. 42(6), pages 1115-1127, November.
    2. Diego Comin & Danial Lashkari & Martí Mestieri, 2021. "Structural Change With Long‐Run Income and Price Effects," Econometrica, Econometric Society, vol. 89(1), pages 311-374, January.
    3. Danial Lashkari & Arthur Bauer & Jocelyn Boussard, 2019. "Information Technology and Returns to Scale," 2019 Meeting Papers 1380, Society for Economic Dynamics.
    4. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Simon Alder & Timo Boppart & Andreas Müller, 2022. "A Theory of Structural Change That Can Fit the Data," American Economic Journal: Macroeconomics, American Economic Association, vol. 14(2), pages 160-206, April.
    2. 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..
    3. Diego Comin & Ana Danieli & Martí Mestieri, 2020. "Income-Driven Labor-Market Polarization," Working Paper Series WP-2020-22, Federal Reserve Bank of Chicago.
    4. Fabian Eckert & Sharat Ganapati & Conor Walsh, 2020. "Urban-Biased Growth: A Macroeconomic Analysis," CESifo Working Paper Series 8705, CESifo.
    5. Logan T Lewis & Ryan Monarch & Michael Sposi & Jing Zhang, 2022. "Structural Change and Global Trade," Journal of the European Economic Association, European Economic Association, vol. 20(1), pages 476-512.
    6. David Atkin & Benjamin Faber & Thibault Fally & Marco Gonzalez-Navarro, 2020. "Measuring Welfare and Inequality with Incomplete Price Information," NBER Working Papers 26890, National Bureau of Economic Research, Inc.
    7. Ligon, Ethan, 2017. "Estimating household welfare from disaggregate expenditures," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt5gc4h1fm, Department of Agricultural & Resource Economics, UC Berkeley.
    8. Kiminori Matsuyama, 2019. "Engel's Law in the Global Economy: Demand‐Induced Patterns of Structural Change, Innovation, and Trade," Econometrica, Econometric Society, vol. 87(2), pages 497-528, March.
    9. Duernecker, Georg & Sanchez-Martinez, Miguel, 2023. "Structural change and productivity growth in Europe — Past, present and future," European Economic Review, Elsevier, vol. 151(C).
    10. Justin Caron & Thibault Fally, 2022. "Per Capita Income, Consumption Patterns, and CO2 Emissions," Journal of the Association of Environmental and Resource Economists, University of Chicago Press, vol. 9(2), pages 235-271.
    11. Wen Yao & Xiaodong Zhu, 2021. "Structural Change And Aggregate Employment Fluctuations In China," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(1), pages 65-100, February.
    12. Yilmazkuday, Hakan, 2021. "Accounting for trade deficits," Journal of International Money and Finance, Elsevier, vol. 115(C).
    13. Marcolino, Marcos, 2022. "Accounting for structural transformation in the U.S," Journal of Macroeconomics, Elsevier, vol. 71(C).
    14. Fally, Thibault, 2018. "Integrability and Generalized Separability," CEPR Discussion Papers 12667, C.E.P.R. Discussion Papers.
    15. Matsuyama, Kiminori, 2017. "Beyond CES: Three Alternative Classes of Flexible Homothetic Demand Systems," CEPR Discussion Papers 12210, C.E.P.R. Discussion Papers.
    16. Diego Comin & Danial Lashkari & Martí Mestieri, 2021. "Structural Change With Long‐Run Income and Price Effects," Econometrica, Econometric Society, vol. 89(1), pages 311-374, January.
    17. Xavier Cirera & Diego A. Comin & Marcio Cruz & Kyung Min Lee, 2020. "Anatomy of Technology in the Firm," NBER Working Papers 28080, National Bureau of Economic Research, Inc.
    18. Jaimovich, Esteban & Madzharova, Boryana & Merella, Vincenzo, 2023. "Inside the white box: Unpacking the determinants of quality and vertical specialization," European Economic Review, Elsevier, vol. 152(C).
    19. Yang, Anton C., 2020. "Structural Estimation of a Gravity Model of Trade with the Constant-Difference-of-Elasticities Preferences," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304636, Agricultural and Applied Economics Association.
    20. Tomasz Swiecki, 2017. "Determinants of Structural Change," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 95-131, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2311.06740. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.