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Aggregation and Closed-Form Results for Nonhomothetic CES Preferences

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  • 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
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    References listed on IDEAS

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    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, 2024. "Information Technology and Returns to Scale," American Economic Review, American Economic Association, vol. 114(6), pages 1769-1815, June.
    4. Diego Comin & Ana Danieli & Martí Mestieri, 2020. "Income-Driven Labor-Market Polarization," Working Paper Series WP-2020-22, Federal Reserve Bank of Chicago.
    5. Michael Sposi & Kei-Mu Yi & Jing Zhang, 2021. "Deindustrialization and Industry Polarization," Working Paper Series WP 2022-44, Federal Reserve Bank of Chicago.
    6. Hanoch, Giora, 1975. "Production and Demand Models with Direct or Indirect Implicit Additivity," Econometrica, Econometric Society, vol. 43(3), pages 395-419, May.
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