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Luce rule with limited consideration

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  • Ahumada, Alonso
  • Ülkü, Levent

Abstract

We study a modification of the Luce rule for stochastic choice which admits the possibility of zero probabilities. In any given menu, the decision maker uses the Luce rule on a consideration set, potentially a strict subset of the menu. Without imposing any structure on how the consideration sets are formed, we characterize the resulting behavior using a single axiom. Our result offers insight into special cases where consideration sets are formed under various restrictions.

Suggested Citation

  • Ahumada, Alonso & Ülkü, Levent, 2018. "Luce rule with limited consideration," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 52-56.
    • Handle: RePEc:eee:matsoc:v:93:y:2018:i:c:p:52-56
    DOI: 10.1016/j.mathsocsci.2018.02.001
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    References listed on IDEAS

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    1. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    2. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    3. Aguiar, Victor H. & Boccardi, Maria Jose & Dean, Mark, 2016. "Satisficing and stochastic choice," Journal of Economic Theory, Elsevier, vol. 166(C), pages 445-482.
    4. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    5. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    6. Aguiar, Victor H., 2017. "Random categorization and bounded rationality," Economics Letters, Elsevier, vol. 159(C), pages 46-52.
    7. Gent Bajraj & Levent Ülkü, 2015. "Choosing two finalists and the winner," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 729-744, December.
    8. Richard L. Brady & John Rehbeck, 2016. "Menu‐Dependent Stochastic Feasibility," Econometrica, Econometric Society, vol. 84, pages 1203-1223, May.
    9. Lleras, Juan Sebastián & Masatlioglu, Yusufcan & Nakajima, Daisuke & Ozbay, Erkut Y., 2017. "When more is less: Limited consideration," Journal of Economic Theory, Elsevier, vol. 170(C), pages 70-85.
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    Cited by:

    1. Demirkan, Yusufcan & Kimya, Mert, 2020. "Hazard rate, stochastic choice and consideration sets," Journal of Mathematical Economics, Elsevier, vol. 87(C), pages 142-150.
    2. 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).
    3. Edi Karni, 2024. "Irresolute choice behavior," International Journal of Economic Theory, The International Society for Economic Theory, vol. 20(1), pages 70-87, March.
    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. Dutta, Rohan, 2020. "Gradual pairwise comparison and stochastic choice," Theoretical Economics, Econometric Society, vol. 15(4), November.
    6. 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.
    7. 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.
    8. 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.
    9. Efe A. Ok & Gerelt Tserenjigmid, 2023. "Measuring Stochastic Rationality," Papers 2303.08202, arXiv.org, revised Dec 2023.
    10. 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).
    11. 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.
    12. 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.
    13. Doğan, Serhat & Yıldız, Kemal, 2021. "Odds supermodularity and the Luce rule," Games and Economic Behavior, Elsevier, vol. 126(C), pages 443-452.
    14. Edward Honda, 2021. "Categorical consideration and perception complementarity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 693-716, March.

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