IDEAS home Printed from https://ideas.repec.org/p/qmw/qmwecw/819.html
   My bibliography  Save this paper

Rationalizability of Menu Preferences

Author

Listed:
  • Christopher J. Tyson

    (Queen Mary University of London)

Abstract

The class of preferences over opportunity sets ("menus") rationalizable by underlying preferences over the alternatives is characterized for the general case in which the dataset is unrestricted. In particular, both the universal set of alternatives and the domain of menus over which preferences are asserted by the decision maker are arbitrary. The key "Cover Dominance" axiom states that any menu strictly preferred to a collection of menus must be strictly preferred to any menu covered by the collection. The method of characterization relies upon transitivity of menu preferences, but completeness can be relaxed.

Suggested Citation

  • Christopher J. Tyson, 2017. "Rationalizability of Menu Preferences," Working Papers 819, Queen Mary University of London, School of Economics and Finance.
  • Handle: RePEc:qmw:qmwecw:819
    as

    Download full text from publisher

    File URL: https://www.qmul.ac.uk/sef/media/econ/research/workingpapers/2017/items/wp819.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Eddie Dekel & Barton L. Lipman & Aldo Rustichini, 2009. "Temptation-Driven Preferences," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 937-971.
    2. John E. Stovall, 2010. "Multiple Temptations," Econometrica, Econometric Society, vol. 78(1), pages 349-376, January.
    3. 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.
    4. Faruk Gul & Wolfgang Pesendorfer, 2005. "A Simple Theory of Temptation and Self-Control," Levine's Bibliography 784828000000000121, UCLA Department of Economics.
    5. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016064, September.
    6. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    7. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107638105, September.
    8. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016057, September.
    9. Christopher P. Chambers & Federico Echenique & Eran Shmaya, 2014. "The Axiomatic Structure of Empirical Content," American Economic Review, American Economic Association, vol. 104(8), pages 2303-2319, August.
    10. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2006. "Rationalizability of choice functions on general domains without full transitivity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 435-458, December.
    11. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107674165, September.
    12. Klaus Nehring, 1999. "Preference for Flexibility in a Savage Framework," Econometrica, Econometric Society, vol. 67(1), pages 101-120, January.
    13. , G. & , & ,, 2007. "Coarse contingencies and ambiguity," Theoretical Economics, Econometric Society, vol. 2(4), December.
    14. 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.
    15. 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.
    16. Amartya Sen, 1969. "Quasi-Transitivity, Rational Choice and Collective Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 381-393.
    17. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-577, May.
    18. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107627314, September.
    19. David S. Ahn & Todd Sarver, 2013. "Preference for Flexibility and Random Choice," Econometrica, Econometric Society, vol. 81(1), pages 341-361, January.
    20. Acemoglu,Daron & Arellano,Manuel & Dekel,Eddie (ed.), 2013. "Advances in Economics and Econometrics," Cambridge Books, Cambridge University Press, number 9781107016040, September.
    21. Wojciech Olszewski, 2007. "Preferences Over Sets of Lotteries -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(2), pages 567-595.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:hal:psewpa:halshs-01998001 is not listed on IDEAS
    2. Elias Bouacida, 2021. "Identifying Choice Correspondences," Working Papers 327800275, Lancaster University Management School, Economics Department.
    3. Elias Bouacida, 2021. "Identifying Choice Correspondences," Working Papers halshs-01998001, HAL.

    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. Minardi, Stefania & Savochkin, Andrei, 2019. "Subjective contingencies and limited Bayesian updating," Journal of Economic Theory, Elsevier, vol. 183(C), pages 1-45.
    2. Lefgren, Lars J. & Stoddard, Olga B. & Stovall, John E., 2021. "Rationalizing self-defeating behaviors: Theory and evidence," Journal of Health Economics, Elsevier, vol. 76(C).
    3. Leonardo Pejsachowicz & Séverine Toussaert, 2017. "Choice deferral, indecisiveness and preference for flexibility," Post-Print hal-02862199, HAL.
    4. Pejsachowicz, Leonardo & Toussaert, Séverine, 2017. "Choice deferral, indecisiveness and preference for flexibility," LSE Research Online Documents on Economics 83566, London School of Economics and Political Science, LSE Library.
    5. Pejsachowicz, Leonardo & Toussaert, Séverine, 2017. "Choice deferral, indecisiveness and preference for flexibility," Journal of Economic Theory, Elsevier, vol. 170(C), pages 417-425.
    6. Ahn, David S. & Iijima, Ryota & Sarver, Todd, 2020. "Naivete about temptation and self-control: Foundations for recursive naive quasi-hyperbolic discounting," Journal of Economic Theory, Elsevier, vol. 189(C).
    7. David S. Ahn & Ryota Iijima & Todd Sarver, 2017. "Naivet� About Temptation and Self-Control: Foundations for Naive Quasi-Hyperbolic Discounting," Cowles Foundation Discussion Papers 2099R, Cowles Foundation for Research in Economics, Yale University, revised Feb 2018.
    8. David S. Ahn & Ryota Iijima & Yves Le Yaouanq & Todd Sarver, 2017. "Behavioral Characterizations of Naivet� for Time-Inconsistent Preferences," Cowles Foundation Discussion Papers 2074, Cowles Foundation for Research in Economics, Yale University.
    9. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2017. "Mixed extensions of decision problems under uncertainty," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(4), pages 827-866, April.
    10. Nobuo Koida, 2018. "Anticipated stochastic choice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 545-574, May.
    11. Robin Cubitt & Gijs van de Kuilen & Sujoy Mukerji, 2020. "Discriminating Between Models of Ambiguity Attitude: a Qualitative Test," Journal of the European Economic Association, European Economic Association, vol. 18(2), pages 708-749.
    12. Dufwenberg, Martin & Servátka, Maroš & Vadovič, Radovan, 2017. "Honesty and informal agreements," Games and Economic Behavior, Elsevier, vol. 102(C), pages 269-285.
    13. Gorno, Leandro, 2016. "Additive representation for preferences over menus in finite choice settings," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 41-47.
    14. T. Hayashi & R. Jain & V. Korpela & M. Lombardi, 2023. "Behavioral strong implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1257-1287, November.
    15. Xi Zhi Lim, 2021. "Ordered Reference Dependent Choice," Papers 2105.12915, arXiv.org, revised Feb 2024.
    16. Geoffroy de Clippel, 2014. "Behavioral Implementation," American Economic Review, American Economic Association, vol. 104(10), pages 2975-3002, October.
    17. Tsvetanov, Tsvetan & Miceli, Thomas J. & Segerson, Kathleen, 2021. "Products liability with temptation bias," Journal of Economic Behavior & Organization, Elsevier, vol. 186(C), pages 76-93.
    18. Koida, Nobuo, 2022. "Indecisiveness, preference for flexibility, and a unique subjective state space," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    19. Claudia Ravanelli & Gregor Svindland, 2019. "Ambiguity sensitive preferences in Ellsberg frameworks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(1), pages 53-89, February.
    20. Karni, Edi & Maccheroni, Fabio & Marinacci, Massimo, 2015. "Ambiguity and Nonexpected Utility," Handbook of Game Theory with Economic Applications,, Elsevier.

    More about this item

    Keywords

    General domains; Opportunity sets; Revealed preference; Transitivity;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:qmw:qmwecw:819. 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: Nicholas Owen (email available below). General contact details of provider: https://edirc.repec.org/data/deqmwuk.html .

    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.