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Binary single-crossing random utility models

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  • Petri, Henrik

Abstract

We characterize the single-crossing random utility model (SCRUM) (Apesteguia et al. (2017)) restricted to the (experimentally and empirically) important domain of binary choice menus. As corollaries we characterize some important subclasses of SCRUM (such as single-peaked and single-dipped random utility models) on this domain. In doing so, we address instances of the (still unsolved) binary random utility problem, which asks under what conditions there is a random utility model consistent with data from binary menus.

Suggested Citation

  • Petri, Henrik, 2023. "Binary single-crossing random utility models," Games and Economic Behavior, Elsevier, vol. 138(C), pages 311-320.
    • Handle: RePEc:eee:gamebe:v:138:y:2023:i:c:p:311-320
    DOI: 10.1016/j.geb.2022.12.011
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    References listed on IDEAS

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    1. Debopam Bhattacharya, 2021. "The Empirical Content of Binary Choice Models," Econometrica, Econometric Society, vol. 89(1), pages 457-474, January.
    2. Carlos Alós-Ferrer & Ernst Fehr & Nick Netzer, 2021. "Time Will Tell: Recovering Preferences When Choices Are Noisy," Journal of Political Economy, University of Chicago Press, vol. 129(6), pages 1828-1877.
    3. Itzhak Gilboa, 1989. "A Necessary but Insufficient Condition for the Stochastic Binary Choice Problem," Discussion Papers 818, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Jose Apesteguia & Miguel A Ballester, 2021. "Separating Predicted Randomness from Residual Behavior," Journal of the European Economic Association, European Economic Association, vol. 19(2), pages 1041-1076.
    5. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    6. Yoram Halevy & Dotan Persitz & Lanny Zrill, 2018. "Parametric Recoverability of Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1558-1593.
    7. Jose Apesteguia & Miguel A. Ballester & Jay Lu, 2017. "Single‐Crossing Random Utility Models," Econometrica, Econometric Society, vol. 85, pages 661-674, March.
    8. Matzkin, Rosa L, 1992. "Nonparametric and Distribution-Free Estimation of the Binary Threshold Crossing and the Binary Choice Models," Econometrica, Econometric Society, vol. 60(2), pages 239-270, March.
    9. Manzini, Paola & Mariotti, Marco, 2018. "Dual random utility maximisation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 162-182.
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    Cited by:

    1. Apesteguia, Jose & Ballester, Miguel A., 2023. "Random utility models with ordered types and domains," Journal of Economic Theory, Elsevier, vol. 211(C).

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    More about this item

    Keywords

    Stochastic choice; Binary choice menus; Single-crossing property; Single-peaked preferences; Single-dipped preferences; Stochastic transitivity;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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