IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v56y2021i4d10.1007_s00355-020-01285-9.html
   My bibliography  Save this article

Choice resolutions

Author

Listed:
  • Domenico Cantone

    (University of Catania)

  • Alfio Giarlotta

    (University of Catania)

  • Stephen Watson

    (York University)

Abstract

We describe a process to compose and decompose choice behavior, called resolution. In the forward direction, resolutions amalgamate simple choices to create a complex one. In the backward direction, resolutions detect when and how a primitive choice can be deconstructed into smaller choices. A choice is resolvable if it is the resolution of smaller choices. Rationalizability, rationalizability by a preorder, and path independence are all preserved (backward and forward) by resolutions, whereas rationalizability by a weak order (equivalently, WARP) is not. We characterize resolvable choices, and show that resolvability generalizes WARP.

Suggested Citation

  • Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2021. "Choice resolutions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(4), pages 713-753, May.
    • Handle: RePEc:spr:sochwe:v:56:y:2021:i:4:d:10.1007_s00355-020-01285-9
    DOI: 10.1007/s00355-020-01285-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-020-01285-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00355-020-01285-9?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. Apesteguia, Jose & Ballester, Miguel A., 2013. "Choice by sequential procedures," Games and Economic Behavior, Elsevier, vol. 77(1), pages 90-99.
    2. Christopher Tyson, 2013. "Behavioral implications of shortlisting procedures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 941-963, October.
    3. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    4. Chambers,Christopher P. & Echenique,Federico, 2016. "Revealed Preference Theory," Cambridge Books, Cambridge University Press, number 9781107087804.
    5. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    6. , & ,, 2012. "Choice by lexicographic semiorders," Theoretical Economics, Econometric Society, vol. 7(1), January.
    7. Herzberger, Hans G, 1973. "Ordinal Preference and Rational Choice," Econometrica, Econometric Society, vol. 41(2), pages 187-237, March.
    8. Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2019. "Congruence relations on a choice space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 247-294, February.
    9. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    10. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    11. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    12. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    13. , & ,, 2013. "Choice by iterative search," Theoretical Economics, Econometric Society, vol. 8(3), September.
    14. Koshevoy, Gleb A., 1999. "Choice functions and abstract convex geometries," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 35-44, July.
    15. Dekel, Eddie & Lipman, Barton L & Rustichini, Aldo, 2001. "Representing Preferences with a Unique Subjective State Space," Econometrica, Econometric Society, vol. 69(4), pages 891-934, July.
    16. Amartya K. Sen, 1971. "Choice Functions and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(3), pages 307-317.
    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. Domenico Cantone & Alfio Giarlotta & Stephen Watson, 2019. "Congruence relations on a choice space," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 247-294, February.
    2. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    3. Freeman, David J., 2017. "Preferred personal equilibrium and simple choices," Journal of Economic Behavior & Organization, Elsevier, vol. 143(C), pages 165-172.
    4. 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.
    5. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    6. Paulo Oliva & Philipp Zahn, 2021. "On Rational Choice and the Representation of Decision Problems," Games, MDPI, vol. 12(4), pages 1-21, November.
    7. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    8. Attila Ambrus & Kareen Rozen, 2015. "Rationalising Choice with Multi‐self Models," Economic Journal, Royal Economic Society, vol. 125(585), pages 1136-1156, June.
    9. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    10. Giarlotta, Alfio & Petralia, Angelo & Watson, Stephen, 2022. "Bounded rationality is rare," Journal of Economic Theory, Elsevier, vol. 204(C).
    11. Paola Manzini & Marco Mariotti, 2015. "State dependent choice," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(2), pages 239-268, September.
    12. Juan Lleras & Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Ozbay, 2021. "Path-Independent Consideration," Games, MDPI, vol. 12(1), pages 1-10, March.
    13. Attila Ambrus & Kareen Rozen, 2008. "Revealed Conflicting Preferences," Levine's Working Paper Archive 122247000000002161, David K. Levine.
    14. Mandler, Michael, 2015. "Rational agents are the quickest," Journal of Economic Theory, Elsevier, vol. 155(C), pages 206-233.
    15. Juan P. Aguilera & Levent Ülkü, 2017. "On the maximization of menu-dependent interval orders," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 357-366, February.
    16. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2016. "Partial knowledge restrictions on the two-stage threshold model of choice," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 41-47.
    17. Manzini, Paola & Mariotti, Marco & Tyson, Christopher J., 2016. "Partial knowledge restrictions on the two-stage threshold model of choice," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 41-47.
    18. Sophie Bade, 2016. "Pareto-optimal matching allocation mechanisms for boundedly rational agents," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 501-510, October.
    19. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
    20. Cuhadaroglu, Tugce, 2015. "Choosing on Influence," SIRE Discussion Papers 2015-59, Scottish Institute for Research in Economics (SIRE).

    More about this item

    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:spr:sochwe:v:56:y:2021:i:4:d:10.1007_s00355-020-01285-9. 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.