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Irrational Random Utility Models

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  • Daniele Caliari
  • Henrik Petri

Abstract

We show that the set of aggregate choices of a population of rational decision-makers - random utility models (RUMs) - can be represented by a population of irrational ones if, and only if, their preferences are sufficiently uncorrelated. We call this representation: Irrational RUM. We then show that almost all RUMs can be represented by a population in which at least some decision-makers are irrational and that under specific conditions their irrational behavior is unconstrained.

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  • Daniele Caliari & Henrik Petri, 2024. "Irrational Random Utility Models," Papers 2403.10208, arXiv.org.
    • Handle: RePEc:arx:papers:2403.10208
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    References listed on IDEAS

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    1. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    2. Yuichi Kitamura & Jörg Stoye, 2018. "Nonparametric Analysis of Random Utility Models," Econometrica, Econometric Society, vol. 86(6), pages 1883-1909, November.
    3. Stefan Hoderlein & Jörg Stoye, 2014. "Revealed Preferences in a Heterogeneous Population," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 197-213, May.
    4. Jose Apesteguia & Miguel A. Ballester & Jay Lu, 2017. "Single‐Crossing Random Utility Models," Econometrica, Econometric Society, vol. 85, pages 661-674, March.
    5. Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003. "Nonparametric Engel Curves and Revealed Preference," Econometrica, Econometric Society, vol. 71(1), pages 205-240, January.
    6. Turansick, Christopher, 2022. "Identification in the random utility model," Journal of Economic Theory, Elsevier, vol. 203(C).
    7. Stoye, Jörg, 2019. "Revealed Stochastic Preference: A one-paragraph proof and generalization," Economics Letters, Elsevier, vol. 177(C), pages 66-68.
    8. 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.
    9. Victor H Aguiar & Nail Kashaev, 2021. "Stochastic Revealed Preferences with Measurement Error [Consistency between Household-level Consumption Data from Registers and Surveys]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(4), pages 2042-2093.
    10. William J McCausland & Clintin Davis-Stober & AAJ Marley & Sanghyuk Park & Nicholas Brown, 2020. "Testing the Random Utility Hypothesis Directly," The Economic Journal, Royal Economic Society, vol. 130(625), pages 183-207.
    11. Grandmont, Jean-Michel, 1992. "Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem," Journal of Economic Theory, Elsevier, vol. 57(1), pages 1-35.
    12. Rahul Deb & Yuichi Kitamura & John K H Quah & Jörg Stoye, 2023. "Revealed Price Preference: Theory and Empirical Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(2), pages 707-743.
    13. Emel Filiz-Ozbay & Yusufcan Masatlioglu, 2023. "Progressive Random Choice," Journal of Political Economy, University of Chicago Press, vol. 131(3), pages 716-750.
    14. Im, Changkuk & Rehbeck, John, 2022. "Non-rationalizable individuals and stochastic rationalizability," Economics Letters, Elsevier, vol. 219(C).
    15. 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.
    16. Stefan Hoderlein & Jörg Stoye, 2015. "Testing stochastic rationality and predicting stochastic demand: the case of two goods," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 313-328, October.
    17. Bart Smeulders & Laurens Cherchye & Bram De Rock, 2021. "Nonparametric Analysis of Random Utility Models: Computational Tools for Statistical Testing," Econometrica, Econometric Society, vol. 89(1), pages 437-455, January.
    18. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Henrik Petri & Christopher J. Tyson, 2023. "Mixture Choice Data: Revealing Preferences and Cognition," Journal of Political Economy, University of Chicago Press, vol. 131(3), pages 687-715.
    19. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    20. Manzini, Paola & Mariotti, Marco, 2018. "Dual random utility maximisation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 162-182.
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