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List-rationalizable choice

Author

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  • ,

    (Department of Economics, Bilkent University)

Abstract

A choice function is \textit{list rational(izable)}, if there is a fixed \textit{list} such that for each \textit{choice set}, successive comparison of the alternatives by following the \textit{list} retrieves the chosen alternative. We extend the formulation of list rationality to stochastic choice setup. We say two alternatives are related if the \textit{stochastic path independence condition} is violated between these alternatives. We show that a random choice function is list rational if and only if this relation is acyclic. Our characterization for deterministic choice functions follows as a corollary. By using this characterization, we relate list rationality to two-stage choice procedures.

Suggested Citation

  • ,, 2016. "List-rationalizable choice," Theoretical Economics, Econometric Society, vol. 11(2), May.
    • Handle: RePEc:the:publsh:1298
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    Citations

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    Cited by:

    1. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    2. Geng, Sen & Özbay, Erkut Y., 2021. "Shortlisting procedure with a limited capacity," Journal of Mathematical Economics, Elsevier, vol. 94(C).
    3. Dimitrov, Dinko & Mukherjee, Saptarshi & Muto, Nozomu & 無藤, 望, 2013. "List-based decision problems," Discussion Papers 2013-02, Graduate School of Economics, Hitotsubashi University.
    4. Alfio Giarlotta & Angelo Petralia & Stephen Watson, 2022. "On the number of non-isomorphic choices on four elements," Papers 2206.06840, arXiv.org.
    5. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    6. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    7. Mihir Bhattacharya & Saptarshi Mukherjee & Ruhi Sonal, 2019. "Attention and Framing," Working Papers 18, Ashoka University, Department of Economics.
    8. 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.
    9. Wang, Kai, 2022. "Approval with frames," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    10. Yegane, Ece, 2022. "Stochastic choice with limited memory," Journal of Economic Theory, Elsevier, vol. 205(C).
    11. Apesteguia, Jose & Ballester, Miguel A. & Masatlioglu, Yusufcan, 2014. "A foundation for strategic agenda voting," Games and Economic Behavior, Elsevier, vol. 87(C), pages 91-99.
    12. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    13. Xiaosheng Mu, 2019. "Amendment Voting with Incomplete Preferences," Working Papers 2019-29, Princeton University. Economics Department..
    14. Davide Carpentiere & Angelo Petralia, 2023. "Identification of consideration sets from choice data," Papers 2302.00978, arXiv.org, revised Mar 2024.
    15. Giarlotta, Alfio & Petralia, Angelo & Watson, Stephen, 2022. "Bounded rationality is rare," Journal of Economic Theory, Elsevier, vol. 204(C).
    16. Gleb Koshevoy & Ernesto Savaglio, 2017. "Enveloped choice functions and path-independent rationality," Department of Economics University of Siena 765, Department of Economics, University of Siena.
    17. Alfio Giarlotta & Angelo Petralia & Stephen Watson, 2022. "Semantics meets attractiveness: Choice by salience," Papers 2204.08798, arXiv.org, revised Aug 2022.
    18. Bhattacharya, Mihir & Mukherjee, Saptarshi & Sonal, Ruhi, 2021. "Frame-based stochastic choice rule," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    19. Cuhadaroglu, Tugce, 2017. "Choosing on influence," Theoretical Economics, Econometric Society, vol. 12(2), May.
    20. Dinko Dimitrov & Saptarshi Mukherjee & Nozomu Muto, 2016. "‘Divide-and-choose’ in list-based decision problems," Theory and Decision, Springer, vol. 81(1), pages 17-31, June.
    21. Xiaosheng Mu, 2021. "Sequential Choice with Incomplete Preferences," Working Papers 2021-35, Princeton University. Economics Department..
    22. Gerelt Tserenjigmid, 2021. "The Order-Dependent Luce Model," Management Science, INFORMS, vol. 67(11), pages 6915-6933, November.

    More about this item

    Keywords

    Rationalization; list; choice functions; random choice; path independence; acyclicity;
    All these keywords.

    JEL classification:

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

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