IDEAS home Printed from https://ideas.repec.org/p/mtl/montde/2006-13.html
   My bibliography  Save this paper

Non-Deteriorating Choice without Full Transitivity

Author

Listed:
  • BOSSERT, Walter
  • SUZUMURA, Kotaro

Abstract

Although the theory of greatest-element rationalizability and maximal-element rationalizability under general domains and without full transitivity of rationalizing relations is well-developed in the literature, these standard notions of rational choice are often considered to be too demanding. An alternative definition of rationality of choice is that of non-deteriorating choice, which requires that the chosen alternatives must be judged at least as good as a reference alternative. In game theory, this definition is well-known under the name of individual rationality when the reference alternative is construed to be the status quo. This alternative form of rationality of individual and social choice is characterized in this paper on general domains and without full transitivity of rationalizing relations.

Suggested Citation

  • BOSSERT, Walter & SUZUMURA, Kotaro, 2006. "Non-Deteriorating Choice without Full Transitivity," Cahiers de recherche 2006-13, Universite de Montreal, Departement de sciences economiques.
    • Handle: RePEc:mtl:montde:2006-13
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/1866/2150
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ray, Indrajit & Zhou, Lin, 2001. "Game Theory via Revealed Preferences," Games and Economic Behavior, Elsevier, vol. 37(2), pages 415-424, November.
    2. Rubinstein, Ariel & Zhou, Lin, 1999. "Choice problems with a 'reference' point," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 205-209, May.
    3. Bossert, Walter & Sprumont, Yves, 2003. "Efficient and non-deteriorating choice," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 131-142, April.
    4. Walter Bossert & Yves Sprumont & Kotaro Suzumura, 2005. "Maximal-Element Rationalizability," Theory and Decision, Springer, vol. 58(4), pages 325-350, June.
    5. Walter Bossert & Yves Sprumont, 2009. "Non‐Deteriorating Choice," Economica, London School of Economics and Political Science, vol. 76(302), pages 337-363, April.
    6. Walter Bossert & Yves Sprumont, 2002. "Core rationalizability in two-agent exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 777-791.
    7. repec:bla:econom:v:72:y:2005:i:286:p:185-200 is not listed on IDEAS
    8. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    9. Suzumura, Kotaro, 1977. "Houthakker's axiom in the theory of rational choice," Journal of Economic Theory, Elsevier, vol. 14(2), pages 284-290, April.
    10. Masatlioglu, Yusufcan & Ok, Efe A., 2005. "Rational choice with status quo bias," Journal of Economic Theory, Elsevier, vol. 121(1), pages 1-29, March.
    11. Kotaro Suzumura, 1976. "Rational Choice and Revealed Preference," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 43(1), pages 149-158.
    12. 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.
    13. Bossert, Walter & Sprumont, Yves & Suzumura, Kotaro & 鈴村, 興太郎, 2002. "Consistent Rationalizability," Discussion Paper 82, Center for Intergenerational Studies, Institute of Economic Research, Hitotsubashi University.
    14. Sprumont, Yves, 2000. "On the Testable Implications of Collective Choice Theories," Journal of Economic Theory, Elsevier, vol. 93(2), pages 205-232, August.
    15. Sprumont, Yves, 2001. "Paretian Quasi-orders: The Regular Two-Agent Case," Journal of Economic Theory, Elsevier, vol. 101(2), pages 437-456, December.
    16. repec:bla:econom:v:43:y:1976:i:172:p:381-90 is not listed on IDEAS
    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. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
    2. Bossert, Walter & Sprumont, Yves, 2003. "Efficient and non-deteriorating choice," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 131-142, April.
    3. 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.
    4. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
    5. Ray, Indrajit & Snyder, Susan, 2013. "Observable implications of Nash and subgame-perfect behavior in extensive games," Journal of Mathematical Economics, Elsevier, vol. 49(6), pages 471-477.
    6. BOSSERT, Walter, 2006. "Consistent Relations," Cahiers de recherche 2006-03, Universite de Montreal, Departement de sciences economiques.
    7. Shaofang Qi, 2016. "A characterization of the n-agent Pareto dominance relation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(3), pages 695-706, March.
    8. Pierre-André Chiappori & Olivier Donni, 2005. "Learning From a Piece of Pie: The Empirical Content of Nash Bargaining," THEMA Working Papers 2006-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    9. Walter Bossert & Kotaro Suzumura, 2011. "Rationality, external norms, and the epistemic value of menus," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 37(4), pages 729-741, October.
    10. Ruediger Bachmann, 2006. "Testable Implications of Pareto Efficiency and Individualrationality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(3), pages 489-504, November.
    11. BOSSERT, Walter & SUZUMURA, Kotaro, 2005. "Rational Choice on Arbitrary Domains: A Comprehensive Treatment," Cahiers de recherche 17-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    12. Demuynck, Thomas, 2011. "The computational complexity of rationalizing boundedly rational choice behavior," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 425-433.
    13. Jose Apesteguia & Miguel Ballester, 2009. "A theory of reference-dependent behavior," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 40(3), pages 427-455, September.
    14. Walter Bossert & Yves Sprumont, 2009. "Non‐Deteriorating Choice," Economica, London School of Economics and Political Science, vol. 76(302), pages 337-363, April.
    15. Andrés Carvajal, 2003. "Testable Restrictions of Nash Equilibrium in Games with Continuous Domains," Borradores de Economia 229, Banco de la Republica de Colombia.
    16. Walter Bossert & Kotaro Suzumura, 2012. "Revealed preference and choice under uncertainty," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 247-258, March.
    17. Bossert, Walter & Suzumura, Kotaro, 2007. "Social Norms and Rationality of Choice," Cahiers de recherche 2007-07, Universite de Montreal, Departement de sciences economiques.
    18. Guney, Begum & Richter, Michael, 2018. "Costly switching from a status quo," Journal of Economic Behavior & Organization, Elsevier, vol. 156(C), pages 55-70.
    19. Carvajal, Andres & Quah, John K.-H., 2009. "A Nonparametric Analysis of the Cournot Model," The Warwick Economics Research Paper Series (TWERPS) 922, University of Warwick, Department of Economics.
    20. Walter Bossert & Yves Sprumont, 2002. "Core rationalizability in two-agent exchange economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 777-791.

    More about this item

    Keywords

    Reference-Dendent Choice; Individual Rationality; Efficiency; Coherence Prorties;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:mtl:montde:2006-13. 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: Sharon BREWER (email available below). General contact details of provider: https://edirc.repec.org/data/demtlca.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.