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Identities for maximum, minimum, and maxmin random utility models

Author

Listed:
  • André de Palma

    (ENS Paris Saclay - Ecole Normale Supérieure Paris-Saclay)

  • Karim Kilani

    (LIRSA - Laboratoire interdisciplinaire de recherche en sciences de l'action - CNAM - Conservatoire National des Arts et Métiers [CNAM] - HESAM - HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université)

Abstract

We generalize Roy’s identity for discrete choice models, focusing on the worst choices. To do so, we derive a relation between the expected minimum utility and the worst choice probabilities for additive random utility models. We extend this relationship to maxmin random utility models, applying this framework to model ambiguity in a discrete choice setting.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • André de Palma & Karim Kilani, 2017. "Identities for maximum, minimum, and maxmin random utility models," Post-Print hal-03719024, HAL.
    • Handle: RePEc:hal:journl:hal-03719024
    DOI: 10.1016/j.econlet.2017.03.018
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    References listed on IDEAS

    as
    1. Small, Kenneth A & Rosen, Harvey S, 1981. "Applied Welfare Economics with Discrete Choice Models," Econometrica, Econometric Society, vol. 49(1), pages 105-130, January.
    2. McFadden, Daniel, 1980. "Econometric Models for Probabilistic Choice among Products," The Journal of Business, University of Chicago Press, vol. 53(3), pages 13-29, July.
    3. Vermeulen, Bart & Goos, Peter & Vandebroek, Martina, 2010. "Obtaining more information from conjoint experiments by best-worst choices," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1426-1433, June.
    4. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    5. Anderson, Simon P. & de Palma, Andre, 1999. "Reverse discrete choice models," Regional Science and Urban Economics, Elsevier, vol. 29(6), pages 745-764, November.
    6. Daniel Ellsberg, 1961. "Risk, Ambiguity, and the Savage Axioms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(4), pages 643-669.
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    More about this item

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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