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Quasi-Linear Integrability

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  • Nocke, Volker
  • Schutz, Nicolas

Abstract

Applied researchers often work with demand systems that do not depend on income, with the implicit assumption that preferences are quasi-linear and income sufficiently large. The classic approach to the integrability of demand does not readily apply in this case. Adopting a much simpler approach that is based on Poincaré's Lemma and duality, we provide necessary and sufficient conditions for the quasi-linear integrability of such demand systems. We also derive results on the associated utility function and its domain.

Suggested Citation

  • Nocke, Volker & Schutz, Nicolas, 2016. "Quasi-Linear Integrability," CEPR Discussion Papers 11293, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:11293
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Thomas Favory, 2020. "Multiproduct Firms and Discrete Choice Models of Demand: Existence and Uniqueness of the Bertrand-Nash Equilibrium," Economics Discussion / Working Papers 20-24, The University of Western Australia, Department of Economics.
    2. Jeon, Doh-Shin & Lefouili, Yassine & Li, Yaxin & Simcoe, Timothy, 2023. "Ecosystems and Complementary Platforms," TSE Working Papers 23-1468, Toulouse School of Economics (TSE), revised Apr 2024.
    3. Marco Castillo & Mikhail Freer, 2023. "A general revealed preference test for quasilinear preferences: theory and experiments," Experimental Economics, Springer;Economic Science Association, vol. 26(3), pages 673-696, July.
    4. Nocke, Volker & Schutz, Nicolas, 2018. "Quasi-linear integrability: Addendum," Journal of Economic Theory, Elsevier, vol. 175(C), pages 1-2.
    5. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    6. Yang, Erya & Kopylov, Igor, 2023. "Random quasi-linear utility," Journal of Economic Theory, Elsevier, vol. 209(C).
    7. Thibault Fally, 2018. "Integrability and Generalized Separability," NBER Working Papers 25025, National Bureau of Economic Research, Inc.
    8. Amir, Rabah & Erickson, Philip & Jin, Jim, 2017. "On the microeconomic foundations of linear demand for differentiated products," Journal of Economic Theory, Elsevier, vol. 169(C), pages 641-665.
    9. Mikhail Freer & Marco Castillo, 2021. "A General Revealed Preference Test for Quasilinear Preferences: Theory and Experiments," Papers 2111.01248, arXiv.org, revised Dec 2022.
    10. Simona Bigerna & Carlo Andrea Bollino & Maria Chiara D’Errico, 2020. "A general expenditure system for estimation of consumer demand functions," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 37(3), pages 1071-1088, October.
    11. 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

    Quasi-linear demand; Integrability; Duality;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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