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Beyond CES: Three Alternative Classes of Flexible Homothetic Demand Systems

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  • Matsuyama, Kiminori

Abstract

We characterize three classes of demand systems, all of which are defined non-parametrically: homothetic demand systems with a single aggregator (HSA), those with direct implicit additivity (HDIA), and those with indirect implicit additivity (HIIA). In HSA, all the cross-price effects are captured by one price aggregator, while in HDIA and in HIIA, they are captured by two price aggregators. Each of these three classes contains CES as a special case. Yet, they are pairwise disjoint with the sole exception of CES. Thus, these classes of homothetic demand systems offer us three alternative ways of departing from CES.

Suggested Citation

  • Matsuyama, Kiminori, 2017. "Beyond CES: Three Alternative Classes of Flexible Homothetic Demand Systems," CEPR Discussion Papers 12210, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:12210
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    Cited by:

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    6. Matsuyama, Kiminori & Ushchev, Philip, 2022. "Destabilizing effects of market size in the dynamics of innovation," Journal of Economic Theory, Elsevier, vol. 200(C).
    7. Rodrigo Adao & Costas Arkolakis & Sharat Ganapati, 2020. "Aggregate Implications of Firm Heterogeneity: A Nonparametric Analysis of Monopolistic Competition Trade Models," Cowles Foundation Discussion Papers 2265, Cowles Foundation for Research in Economics, Yale University.
    8. Matsuyama, Kiminori, 2020. "When Does Procompetitive Entry Imply Excessive Entry?," CEPR Discussion Papers 14991, C.E.P.R. Discussion Papers.
    9. Paolo Bertoletti & Federico Etro, 2022. "Monopolistic competition, as you like it," Economic Inquiry, Western Economic Association International, vol. 60(1), pages 293-319, January.
    10. Parenti, Mathieu & Ushchev, Philip & Thisse, Jacques-François & Kokovin, Sergey, 2017. "On the Dilution of Market Power," CEPR Discussion Papers 12367, C.E.P.R. Discussion Papers.
    11. Matsuyama, Kiminori & Ushchev, Philip, 2022. "Selection and Sorting of Heterogeneous Firms through Competitive Pressures," CEPR Discussion Papers 17092, C.E.P.R. Discussion Papers.
    12. Eeckhout, Jan & Kircher, Philipp & Lafuente, Cristina, 2024. "Technological Change in Quantities," LIDAM Discussion Papers CORE 2024017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    13. Kosuke Aoki & Yoshihiko Hogen & Kosuke Takatomi, 2023. "Price Markups and Wage Setting Behavior of Japanese Firms," Bank of Japan Working Paper Series 23-E-5, Bank of Japan.
    14. Santiago Franco, 2023. "Output Market Power and Spatial Misallocation," Working Papers 23-57, Center for Economic Studies, U.S. Census Bureau.
    15. 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.
    16. Mrázová, Monika & Neary, J. Peter, 2020. "IO for exports(s)," International Journal of Industrial Organization, Elsevier, vol. 70(C).
    17. Thibault Fally, 2018. "Integrability and Generalized Separability," NBER Working Papers 25025, National Bureau of Economic Research, Inc.
    18. Federico Etro, 2018. "Macroeconomics with Endogenous Markups and Optimal Taxation," Southern Economic Journal, John Wiley & Sons, vol. 85(2), pages 378-406, October.
    19. Fujiwara, Ippei & Kimoto, Ryo & Shiratsuka, Shigenori & Shirota, Toyoichiro, 2021. "Measuring Robot Quality: Has Quality Improvement Slowed Down?," CEPR Discussion Papers 16556, C.E.P.R. Discussion Papers.
    20. Vera Ivanova & Philip Ushchev, 2019. "Product Differentiation, Competitive Toughness, and Intertemporal Substitution," Scandinavian Journal of Economics, Wiley Blackwell, vol. 121(3), pages 1244-1269, July.
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    22. Matsuyama, Kiminori & Ushchev, Philip, 2020. "Constant Pass-Through," CEPR Discussion Papers 15475, C.E.P.R. Discussion Papers.
    23. 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.
    24. Fally, Thibault, 2019. "Generalized separability and the gains from trade," Economics Letters, Elsevier, vol. 178(C), pages 8-12.
    25. Fally, Thibault, 2022. "Generalized separability and integrability: Consumer demand with a price aggregator," Journal of Economic Theory, Elsevier, vol. 203(C).

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    More about this item

    Keywords

    Homothetic preferences; Crs production functions; Demand systems with a single aggregator; Direct implicit additivity; Indirect implicit additivity; Ces; Translog; Gross complements and gross substitutes;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory

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