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Numerical Representation of Preferences over Random Availability Functions

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  • Somdeb Lahiri

Abstract

We interpret a fuzzy set as a random availability function and provide sufficient conditions under which a preference relation over the set of all random availability functions can be represented by a utility function.

Suggested Citation

  • Somdeb Lahiri, 2025. "Numerical Representation of Preferences over Random Availability Functions," Papers 2504.18863, arXiv.org, revised May 2025.
    • Handle: RePEc:arx:papers:2504.18863
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    References listed on IDEAS

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    1. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    2. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521741231, Enero-Abr.
    3. Barbera, Salvador & Pattanaik, Prasanta K, 1986. "Falmagne and the Rationalizability of Stochastic Choices in Terms of Random Orderings," Econometrica, Econometric Society, vol. 54(3), pages 707-715, May.
    4. Basu, Kaushik, 1984. "Fuzzy revealed preference theory," Journal of Economic Theory, Elsevier, vol. 32(2), pages 212-227, April.
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    Cited by:

    1. Somdeb Lahiri, 2025. "Lexicographic Preferences over Random Availability Functions," Papers 2505.12997, arXiv.org.

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