IDEAS home Printed from https://ideas.repec.org/p/cca/wpaper/237.html
   My bibliography  Save this paper

A General Behavioural Model of Random Choice

Author

Listed:
  • Paola Manzini
  • Marco Mariotti

Abstract

We develop and study a stochastic eliminative choice procedure, called choice by random checklist (CRC). On the one hand CRC extends the idea of Tversky's Elimination by Aspects (EBA) to explain, for example, stochastically intransitive choices. On the other hand a special case of CRC is equivalent to random utility maximisation (RUM). In this way we bring within a single formal framework two leading random choice models in economics and in psychology, which are otherwise difficult to relate. Unlike EBA, which is defined recursively, we give an explicit formula for the choice probabilites in a CRC. We show that a CRC satisfies Monotonicity (extending a result of Sattath and Tversky [14]). We define new testable properties, Stochastic WARP and the Probabilistic Inequality, that are satisfied by CRC (and so, in particular, by a RUM).

Suggested Citation

  • Paola Manzini & Marco Mariotti, 2011. "A General Behavioural Model of Random Choice," Carlo Alberto Notebooks 237, Collegio Carlo Alberto.
    • Handle: RePEc:cca:wpaper:237
    as

    Download full text from publisher

    File URL: https://www.carloalberto.org/wp-content/uploads/2018/11/no.237.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Daniel McFadden, 2001. "Economic Choices," American Economic Review, American Economic Association, vol. 91(3), pages 351-378, June.
    2. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    3. 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.
    4. Mandler, Michael & Manzini, Paola & Mariotti, Marco, 2012. "A million answers to twenty questions: Choosing by checklist," Journal of Economic Theory, Elsevier, vol. 147(1), pages 71-92.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Breitmoser, Yves, 2018. "The Axiomatic Foundation of Logit," Rationality and Competition Discussion Paper Series 78, CRC TRR 190 Rationality and Competition.
    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. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    4. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    5. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    6. Duffy, Sean & Gussman, Steven & Smith, John, 2021. "Visual judgments of length in the economics laboratory: Are there brains in stochastic choice?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).
    7. Manzini, Paola & Mariotti, Marco, 2010. "Moody choice," SIRE Discussion Papers 2010-15, Scottish Institute for Research in Economics (SIRE).
    8. Echenique, Federico & Saito, Kota & Tserenjigmid, Gerelt, 2018. "The perception-adjusted Luce model," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 67-76.
    9. Manzini, Paola & Mariotti, Marco, 2018. "Dual random utility maximisation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 162-182.
    10. Czajkowski, Mikołaj & Zagórska, Katarzyna & Letki, Natalia & Tryjanowski, Piotr & Wąs, Adam, 2021. "Drivers of farmers’ willingness to adopt extensive farming practices in a globally important bird area," Land Use Policy, Elsevier, vol. 107(C).
    11. Francisco B. Galarza & Gabriella Wong, 2017. "The Impact of Price Information on Consumer Behavior: An Experiment," Working Papers 106, Peruvian Economic Association.
    12. David Card, 2022. "Design-Based Research in Empirical Microeconomics," American Economic Review, American Economic Association, vol. 112(6), pages 1773-1781, June.
    13. Choi, Andy S., 2013. "Nonmarket values of major resources in the Korean DMZ areas: A test of distance decay," Ecological Economics, Elsevier, vol. 88(C), pages 97-107.
    14. Lin, Yun Hui & Wang, Yuan & He, Dongdong & Lee, Loo Hay, 2020. "Last-mile delivery: Optimal locker location under multinomial logit choice model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    15. Kesternich, Iris & Heiss, Florian & McFadden, Daniel & Winter, Joachim, 2013. "Suit the action to the word, the word to the action: Hypothetical choices and real decisions in Medicare Part D," Journal of Health Economics, Elsevier, vol. 32(6), pages 1313-1324.
    16. McClellon, Morgan, 2016. "Confidence models of incomplete preferences," Mathematical Social Sciences, Elsevier, vol. 83(C), pages 30-34.
    17. Dagsvik, John K., 2015. "Stochastic models for risky choices: A comparison of different axiomatizations," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 81-88.
    18. Turansick, Christopher, 2022. "Identification in the random utility model," Journal of Economic Theory, Elsevier, vol. 203(C).
    19. Diwakar Gupta & Lei Wang, 2008. "Revenue Management for a Primary-Care Clinic in the Presence of Patient Choice," Operations Research, INFORMS, vol. 56(3), pages 576-592, June.
    20. Mira Frick & Ryota Iijima & Tomasz Strzalecki, 2019. "Dynamic Random Utility," Econometrica, Econometric Society, vol. 87(6), pages 1941-2002, November.

    More about this item

    Keywords

    Random Utility Maximization; Elimination by Aspects; Eliminative heuristics;
    All these keywords.

    JEL classification:

    • D0 - Microeconomics - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cca:wpaper:237. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Giovanni Bert (email available below). General contact details of provider: https://edirc.repec.org/data/fccaait.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.