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General Luce model

Author

Listed:
  • Federico Echenique

    (California Institute of Technology)

  • Kota Saito

    (California Institute of Technology)

Abstract

We extend the Luce model of discrete choice theory to satisfactorily handle zero-probability choices. The Luce mode struggles to explain choices that are not made. The model requires that if an alternative y is never chosen when x is available, then there is no set of alternatives from which y is chosen with positive probability. In our model, if an alternative y is never chosen when x is available, then we infer that y is dominated by x. While dominated by x, y may still be chosen with positive probability, when grouped with a comparable set of alternatives.

Suggested Citation

  • Federico Echenique & Kota Saito, 2019. "General Luce model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 68(4), pages 811-826, November.
    • Handle: RePEc:spr:joecth:v:68:y:2019:i:4:d:10.1007_s00199-018-1145-5
    DOI: 10.1007/s00199-018-1145-5
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    References listed on IDEAS

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    12. Echenique, Federico & Saito, Kota & Tserenjigmid, Gerelt, 2018. "The perception-adjusted Luce model," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 67-76.
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    Cited by:

    1. Sanjay Dominik Jena & Andrea Lodi & Claudio Sole, 2021. "On the estimation of discrete choice models to capture irrational customer behaviors," Papers 2109.03882, arXiv.org.
    2. Steverson, Kai & Brandenburger, Adam & Glimcher, Paul, 2019. "Choice-theoretic foundations of the divisive normalization model," Journal of Economic Behavior & Organization, Elsevier, vol. 164(C), pages 148-165.
    3. Kovach, Matthew & Suleymanov, Elchin, 2023. "Reference dependence and random attention," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 421-441.
    4. Cerreia-Vioglio, Simone & Lindberg, Per Olov & Maccheroni, Fabio & Marinacci, Massimo & Rustichini, Aldo, 2021. "A canon of probabilistic rationality," Journal of Economic Theory, Elsevier, vol. 196(C).
    5. Bechler, Georg & Steinhardt, Claudius & Mackert, Jochen & Klein, Robert, 2021. "Product line optimization in the presence of preferences for compromise alternatives," European Journal of Operational Research, Elsevier, vol. 288(3), pages 902-917.
    6. 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.
    7. Lin, Yunhui & Wang, Yuan & Lee, Loo Hay & Chew, Ek Peng, 2022. "Profit-maximizing parcel locker location problem under threshold Luce model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    8. Pennesi, Daniele, 2021. "Intertemporal discrete choice," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 690-706.
    9. Doğan, Serhat & Yıldız, Kemal, 2021. "Odds supermodularity and the Luce rule," Games and Economic Behavior, Elsevier, vol. 126(C), pages 443-452.

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    More about this item

    Keywords

    The Luce model; Logit model; Independence of irrelevant alternatives axiom;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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