IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v96y2024i2d10.1007_s11238-023-09947-7.html
   My bibliography  Save this article

Debreu’s choice model

Author

Listed:
  • Pavlo R. Blavatskyy

    (Montpellier Business School)

Abstract

Debreu (American Economic Review 50:186–188, 1960) famously criticized Luce (Individual choice behavior, Wiley, New York, 1959) choice model with what became known as the red-bus blue-bus example: if a choice set contains two distinct alternatives C (car) and B (blue bus) then adding a third alternative A (red bus) that is essentially identical to B does not affect the choice probability of C but reduces the choice probability of B by half. Debreu’s critique highlights the existence of substitution effects violating the principle of independence from irrelevant alternatives—the cornerstone of Luce (Individual choice behavior, Wiley, New York, 1959) choice model. This paper weakens this principle to construct a model of probabilistic choice satisfying Debreu’s critique.

Suggested Citation

  • Pavlo R. Blavatskyy, 2024. "Debreu’s choice model," Theory and Decision, Springer, vol. 96(2), pages 297-310, March.
    • Handle: RePEc:kap:theord:v:96:y:2024:i:2:d:10.1007_s11238-023-09947-7
    DOI: 10.1007/s11238-023-09947-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11238-023-09947-7
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11238-023-09947-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Matthew Kovach & Gerelt Tserenjigmid, 2022. "The Focal Luce Model," American Economic Journal: Microeconomics, American Economic Association, vol. 14(3), pages 378-413, August.
    2. Matthew Kovach & Gerelt Tserenjigmid, 2022. "Behavioral Foundations of Nested Stochastic Choice and Nested Logit," Journal of Political Economy, University of Chicago Press, vol. 130(9), pages 2411-2461.
    3. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    4. Faro, José Heleno, 2023. "The Luce model with replicas," Journal of Economic Theory, Elsevier, vol. 208(C).
    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. Victor H. Aguiar & Maria Jose Boccardi & Nail Kashaev & Jeongbin Kim, 2023. "Random utility and limited consideration," Quantitative Economics, Econometric Society, vol. 14(1), pages 71-116, January.
    2. Faro, José Heleno, 2023. "The Luce model with replicas," Journal of Economic Theory, Elsevier, vol. 208(C).
    3. 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).
    4. Mira Frick & Ryota Iijima & Tomasz Strzalecki, 2019. "Dynamic Random Utility," Econometrica, Econometric Society, vol. 87(6), pages 1941-2002, November.
    5. Jose Apesteguia & Miguel A. Ballester, 2015. "A Measure of Rationality and Welfare," Journal of Political Economy, University of Chicago Press, vol. 123(6), pages 1278-1310.
    6. Germano, Fabrizio & Sobbrio, Francesco, 2020. "Opinion dynamics via search engines (and other algorithmic gatekeepers)," Journal of Public Economics, Elsevier, vol. 187(C).
    7. Ubøe, Jan & Andersson, Jonas & Jörnsten, Kurt & Lillestøl, Jostein & Sandal, Leif, 2017. "Statistical testing of bounded rationality with applications to the newsvendor model," European Journal of Operational Research, Elsevier, vol. 259(1), pages 251-261.
    8. Jose Apesteguia & Miguel A. Ballester, 2016. "Stochastic representatitve agent," Economics Working Papers 1536, Department of Economics and Business, Universitat Pompeu Fabra.
    9. Aguiar, Victor H. & Boccardi, Maria Jose & Dean, Mark, 2016. "Satisficing and stochastic choice," Journal of Economic Theory, Elsevier, vol. 166(C), pages 445-482.
    10. Francesco Cerigioni & Simone Galperti, 2021. "Listing specs: The effect of framing attributes on choice," Economics Working Papers 1775, Department of Economics and Business, Universitat Pompeu Fabra.
    11. Jose Apesteguia & Miguel Angel Ballester, 2014. "Discrete Choice Estimation of Time Preferences," Working Papers 787, Barcelona School of Economics.
    12. Mogens Fosgerau & Emerson Melo & André de Palma & Matthew Shum, 2020. "Discrete Choice And Rational Inattention: A General Equivalence Result," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(4), pages 1569-1589, November.
    13. Jose Apesteguia & Miguel Ángel Ballester, 2018. "Separating Predicted Randomness from Noise," Working Papers 1018, Barcelona School of Economics.
    14. Ma, Wei, 2017. "Perturbed utility and general equilibrium analysis," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 122-131.
    15. Yves Breitmoser, 2021. "An axiomatic foundation of conditional logit," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(1), pages 245-261, July.
    16. Matias D. Cattaneo & Xinwei Ma & Yusufcan Masatlioglu & Elchin Suleymanov, 2020. "A Random Attention Model," Journal of Political Economy, University of Chicago Press, vol. 128(7), pages 2796-2836.
    17. Lin, Yun Hui & Wang, Yuan & Lee, Loo Hay & Chew, Ek Peng, 2022. "Omnichannel facility location and fulfillment optimization," Transportation Research Part B: Methodological, Elsevier, vol. 163(C), pages 187-209.
    18. King King Li & Kang Rong, 2024. "A two-step guessing game," Theory and Decision, Springer, vol. 97(1), pages 89-108, August.
    19. Manzini, Paola & Mariotti, Marco, 2013. "Imperfect Attention and Menu Evaluations," SIRE Discussion Papers 2013-98, Scottish Institute for Research in Economics (SIRE).
    20. Henke, Ilaria & Moyano, Amparo & Pagliara, Francesca, 2023. "Influence of high-speed rail on the decentralisation of events from big metropolitan areas to smaller intermediate cities," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).

    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:kap:theord:v:96:y:2024:i:2:d:10.1007_s11238-023-09947-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.