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Measuring utility from demand

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  • Hosoya, Yuhki

Abstract

This study presents a new method to calculate a preference relation from a demand function. Our method works well under the weak axiom and can calculate a smooth utility function if the demand function obeys the strong axiom. Further, if the demand function is derived from a customary utility function, our method restores the original preference. Our method provides a complete and rigorous proof of Samuelson’s conjecture. In addition to these results, we guarantee the recoverability: i.e., the uniqueness of the preference relation corresponding to a demand function.

Suggested Citation

  • Hosoya, Yuhki, 2013. "Measuring utility from demand," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 82-96.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:1:p:82-96
    DOI: 10.1016/j.jmateco.2012.10.001
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    References listed on IDEAS

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    Cited by:

    1. Yuhki Hosoya, 2022. "Non-Smooth Integrability Theory," Papers 2203.04770, arXiv.org, revised Mar 2024.
    2. Hosoya, Yuhki, 2017. "The relationship between revealed preference and the Slutsky matrix," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 127-146.
    3. Yuhki Hosoya, 2021. "Consumer Optimization and a First-Order PDE with a Non-Smooth System," SN Operations Research Forum, Springer, vol. 2(4), pages 1-36, December.
    4. Yan Yang, 2019. "A New Solution to Market Definition: An Approach Based on Multi-dimensional Substitutability Statistics," Papers 1906.10030, arXiv.org.
    5. Yuhki Hosoya, 2024. "The Relationship between Consumer Theories with and without Utility Maximization," Papers 2404.10931, arXiv.org.

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