IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v62y2007i2p119-134.html

Rationality and Order-Dependent Sequential Rationality

Author

Listed:
  • HOUY NICOLAS

Abstract

We show that an individual using a choice function is sequentially rational and the decisions he makes are independent of the order of implementation of the rationales if and only if he is rational with the union of the rationales as a base binary relation. When he makes his decisions following a choice correspondence, the sufficiency part of this claim still holds, the necessity part of it does not. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, vol. 62(2), pages 119-134, March.
    • Handle: RePEc:kap:theord:v:62:y:2007:i:2:p:119-134
    DOI: 10.1007/s11238-006-9016-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11238-006-9016-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11238-006-9016-0?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
    2. James M. Buchanan, 1954. "Individual Choice in Voting and the Market," Journal of Political Economy, University of Chicago Press, vol. 62(4), pages 334-334.
    3. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, University Library of Munich, Germany, revised 21 Dec 2005.
    4. Paola Manzini & Marco Mariotti, 2005. "Shortlisting," Public Economics 0503006, University Library of Munich, Germany, revised 23 Mar 2006.
    5. repec:bla:econom:v:43:y:1976:i:172:p:381-90 is not listed on IDEAS
    6. Gil Kalai & Ariel Rubinstein & Ran Spiegler, 2002. "Rationalizing Choice Functions By Multiple Rationales," Econometrica, Econometric Society, vol. 70(6), pages 2481-2488, November.
    7. Moulin, Herve, 1994. "Social choice," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 31, pages 1091-1125, Elsevier.
    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. Houy, Nicolas & Tadenuma, Koichi, 2009. "Lexicographic compositions of multiple criteria for decision making," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1770-1782, July.
    2. Nicolas Houy, 2008. "Prudent choices and rationality," Working Papers hal-00360518, HAL.
    3. García-Sanz, María D. & Alcantud, José Carlos R., 2015. "Sequential rationalization of multivalued choice," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 29-33.
    4. Nicolas Houy, 2008. "Progressive knowledge revealed preferences and sequential rationalizability," Working Papers hal-00360546, HAL.
    5. Houy, Nicolas, 2011. "A refinement of prudent choices," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 166-169, May.
    6. Thomas Demuynck, 2014. "The computational complexity of rationalizing Pareto optimal choice behavior," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(3), pages 529-549, March.
    7. Matsuki, Jun & Tadenuma, Koichi & 蓼沼, 宏一, 2013. "Choice via Grouping Procedures," Discussion Papers 2013-08, Graduate School of Economics, Hitotsubashi University.
    8. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    9. Bleile, Jörg, 2016. "Limited Attention in Case-Based Belief Formation," Center for Mathematical Economics Working Papers 518, Center for Mathematical Economics, Bielefeld University.
    10. Alvaro Sandroni & Leo Katz, 2024. "The leveling axiom," Theory and Decision, Springer, vol. 96(1), pages 135-152, February.
    11. Houy Nicolas, 2008. "Choice Functions with States of Mind," Theory and Decision, Springer, vol. 65(1), pages 1-26, August.
    12. Cherepanov, Vadim & Feddersen, Timothy & ,, 2013. "Rationalization," Theoretical Economics, Econometric Society, vol. 8(3), September.
    13. Demuynck, Thomas, 2011. "The computational complexity of rationalizing boundedly rational choice behavior," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 425-433.

    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. Michele Lombardi, 2008. "Uncovered set choice rules," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 271-279, August.
    2. M. Vittoria Levati & Aaron Nicholas & Birendra Rai, 2011. "Testing the Analytical Framework of Other-Regarding Preferences," Monash Economics Working Papers 26-11, Monash University, Department of Economics.
    3. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
    4. SPRUMONT, Yves & EHLERS, Lars, 2005. "Top-Cycle Rationalizability," Cahiers de recherche 25-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    5. Nicolas Houy, 2008. "Prudent choices and rationality," Working Papers hal-00360518, HAL.
    6. Tyson, Christopher J., 2008. "Cognitive constraints, contraction consistency, and the satisficing criterion," Journal of Economic Theory, Elsevier, vol. 138(1), pages 51-70, January.
    7. Paola Manzini & Marco Mariotti, 2006. "Two-stage Boundedly Rational Choice Procedures: Theory and Experimental Evidence," Working Papers 561, Queen Mary University of London, School of Economics and Finance.
    8. Paola Manzini & Marco Mariotti, 2004. "Rationalizing Boundedly Rational Choice," Microeconomics 0407005, University Library of Munich, Germany, revised 21 Dec 2005.
    9. M. Vittoria Levati & Aaron Nicholas & Birendra Rai, 2011. "Testing the Framework of Other-Regarding Preferences," Jena Economics Research Papers 2011-041, Friedrich-Schiller-University Jena.
    10. Houy Nicolas, 2008. "Choice Functions with States of Mind," Theory and Decision, Springer, vol. 65(1), pages 1-26, August.
    11. Manzini, Paola & Mariotti, Marco, 2004. "Rationalizing Boundedly Rational Choice: Sequential Rationalizability and Rational Shortlist Methods," IZA Discussion Papers 1239, IZA Network @ LISER.
    12. B. Douglas Bernheim & Antonio Rangel, 2009. "Beyond Revealed Preference: Choice-Theoretic Foundations for Behavioral Welfare Economics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 51-104.
    13. Houy, Nicolas, 2011. "A refinement of prudent choices," Mathematical Social Sciences, Elsevier, vol. 61(3), pages 166-169, May.
    14. Kyle Bagwell & Garey Ramey, 1988. "Advertising and Limit Pricing," RAND Journal of Economics, The RAND Corporation, vol. 19(1), pages 59-71, Spring.
    15. Salvador Barberà & Walter Bossert & Kotaro Suzumura, 2021. "Daunou’s voting rule and the lexicographic assignment of priorities," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(2), pages 259-289, February.
    16. Danan, Eric & Gajdos, Thibault & Tallon, Jean-Marc, 2013. "Aggregating sets of von Neumann–Morgenstern utilities," Journal of Economic Theory, Elsevier, vol. 148(2), pages 663-688.
    17. repec:hal:pseose:halshs-01249514 is not listed on IDEAS
    18. Andreas P. Kyriacou, 2005. "Rationality, Ethnicity And Institutions: A Survey Of Issues And Results," Journal of Economic Surveys, Wiley Blackwell, vol. 19(1), pages 23-42, February.
    19. Susumu Cato, 2014. "Menu Dependence and Group Decision Making," Group Decision and Negotiation, Springer, vol. 23(3), pages 561-577, May.
    20. Bloch, Francis & Dutta, Bhaskar, 2009. "Correlated equilibria, incomplete information and coalitional deviations," Games and Economic Behavior, Elsevier, vol. 66(2), pages 721-728, July.
    21. Jose Apesteguia & Miguel A. Ballester, 2007. "On the complexity of rationalizing behavior," Economics Working Papers 1048, Department of Economics and Business, Universitat Pompeu Fabra.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    JEL classification:

    • D0 - Microeconomics - - General

    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:kap:theord:v:62:y:2007:i:2:p:119-134. 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.