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Single-Crossing Random Utility Models

Author

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  • Jose Apesteguia
  • Miguel Ángel Ballester

Abstract

We propose a novel model of stochastic choice: the single-crossing random utility model (SCRUM). This is a random utility model in which the collection of utility functions satisfies the single-crossing property. We offer a characterization of SCRUMs based on three easy-to-check properties: Positivity, Monotonicity and Centrality. The identified collection of utility functions and associated probabilities is basically unique. We establish a stochastic monotone comparative result for the case of SCRUMs and study several generalizations of SCRUMs.

Suggested Citation

  • Jose Apesteguia & Miguel Ángel Ballester, 2016. "Single-Crossing Random Utility Models," Working Papers 891, Barcelona School of Economics.
    • Handle: RePEc:bge:wpaper:891
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    References listed on IDEAS

    as
    1. Jose Apesteguia & Miguel A. Ballester, 2018. "Monotone Stochastic Choice Models: The Case of Risk and Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 74-106.
    2. Gans, Joshua S. & Smart, Michael, 1996. "Majority voting with single-crossing preferences," Journal of Public Economics, Elsevier, vol. 59(2), pages 219-237, February.
    3. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    4. Nicola Persico, 2000. "Information Acquisition in Auctions," Econometrica, Econometric Society, vol. 68(1), pages 135-148, January.
    5. Drew Fudenberg & Tomasz Strzalecki, 2015. "Dynamic Logit With Choice Aversion," Econometrica, Econometric Society, vol. 83, pages 651-691, March.
    6. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-180, January.
    7. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    8. Faruk Gul & Wolfgang Pesendorfer, 2006. "Random Expected Utility," Econometrica, Econometric Society, vol. 74(1), pages 121-146, January.
    9. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    10. Ian Jewitt, 1987. "Risk Aversion and the Choice Between Risky Prospects: The Preservation of Comparative Statics Results," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 73-85.
    11. Athey, Susan, 2001. "Single Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Econometrica, Econometric Society, vol. 69(4), pages 861-889, July.
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    More about this item

    Keywords

    stochastic choice; single-crossing property; random utility models; monotone comparative statics;
    All these keywords.

    JEL classification:

    • D00 - Microeconomics - - General - - - General

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