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Single‐Crossing Random Utility Models

Author

Listed:
  • Jose Apesteguia
  • Miguel A. Ballester
  • Jay Lu

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 preferences satisfies the single‐crossing property. We offer a characterization of SCRUMs based on two easy‐to‐check properties: the classic Monotonicity property and a novel condition, Centrality. The identified collection of preferences and associated probabilities is unique. We show that SCRUMs nest both single‐peaked and single‐dipped random utility models and establish a stochastic monotone comparative result for the case of SCRUMs.

Suggested Citation

  • Jose Apesteguia & Miguel A. Ballester & Jay Lu, 2017. "Single‐Crossing Random Utility Models," Econometrica, Econometric Society, vol. 85, pages 661-674, March.
  • Handle: RePEc:wly:emetrp:v:85:y:2017:i::p:661-674
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    References listed on IDEAS

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    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. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    3. Ian Jewitt, 1987. "Risk Aversion and the Choice Between Risky Prospects: The Preservation of Comparative Statics Results," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 73-85.
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    Cited by:

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    2. Demirkan, Yusufcan & Kimya, Mert, 2020. "Hazard rate, stochastic choice and consideration sets," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 142-150.
    3. Andrew Caplin & Mark Dean & John Leahy, 2017. "Rationally Inattentive Behavior: Characterizing and Generalizing Shannon Entropy," NBER Working Papers 23652, National Bureau of Economic Research, Inc.
    4. Mira Frick & Ryota Iijima & Tomasz Strzalecki, 2019. "Dynamic Random Utility," Econometrica, Econometric Society, vol. 87(6), pages 1941-2002, November.
    5. Victor H. Aguiar & Maria Jose Boccardi & Nail Kashaev & Jeongbin Kim, 2018. "Does Random Consideration Explain Behavior when Choice is Hard? Evidence from a Large-scale Experiment," Papers 1812.09619, arXiv.org, revised Jun 2019.
    6. Matheus Costa & Paulo Henrique Ramos & Gil Riella, 2020. "Single-crossing choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(1), pages 69-86, January.
    7. Alós-Ferrer, Carlos & Fehr, Ernst & Netzer, Nick, 2018. "Time Will Tell: Recovering Preferences When Choices Are Noisy," IZA Discussion Papers 11918, Institute of Labor Economics (IZA).
    8. Manzini, Paola & Mariotti, Marco, 2018. "Dual random utility maximisation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 162-182.
    9. Levon Barseghyan & Francesca Molinari & Matthew Thirkettle, 2019. "Discrete choice under risk with limited consideration," CeMMAP working papers CWP08/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    10. Duffy, Sean & Smith, John, 2020. "An economist and a psychologist form a line: What can imperfect perception of length tell us about stochastic choice?," MPRA Paper 99417, University Library of Munich, Germany.
    11. Heufer, Jan & van Bruggen, Paul & Yang, Jingni, 2020. "Giving According to Agreement," Discussion Paper 2020-035, Tilburg University, Center for Economic Research.
    12. Duffy, Sean & Gussman, Steven & Smith, John, 2019. "Judgments of length in the economics laboratory: Are there brains in choice?," MPRA Paper 93126, University Library of Munich, Germany.
    13. Natalia Lazzati & John K.-H. Quah & Koji Shirai, 2018. "Nonparametric analysis of monotone choice," Discussion Paper Series 184, School of Economics, Kwansei Gakuin University.
    14. Lu, Jay & Saito, Kota, 2018. "Random intertemporal choice," Journal of Economic Theory, Elsevier, vol. 177(C), pages 780-815.
    15. D. Pennesi, 2016. "Deciding fast and slow," Working Papers wp1082, Dipartimento Scienze Economiche, Universita' di Bologna.

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