IDEAS home Printed from https://ideas.repec.org/p/nav/ecupna/0202.html
   My bibliography  Save this paper

A Note on Bossert, Pattanaik and Xu’s “Choice Under Complete Uncertainty: Axiomatic Characterization of Some Decision Rules”

Author

Abstract

Recent work by Bossert, Pattanaik and Xu provides axiomatic characterizations ofs ome decision rules for individual decision making under complete uncertainty. This note shows that, in the case oft wo of these rules, they do not satisfy one of the axioms used for their characterization. A counterexample illustrating this fact is provided, as well as an alternative way to characterize the two rules under consideration, mantaining as far as possible the original axioms proposed by Bossert, Pattanaik and Xu.

Suggested Citation

  • Ritxar Arlegi, 2002. "A Note on Bossert, Pattanaik and Xu’s “Choice Under Complete Uncertainty: Axiomatic Characterization of Some Decision Rules”," Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra 0202, Departamento de Economía - Universidad Pública de Navarra.
    • Handle: RePEc:nav:ecupna:0202
    as

    Download full text from publisher

    File URL: http://www2.unavarra.es/gesadj/depEconomia/repec/DocumentosTrab/DT0202.PDF
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Prasanta K. Pattanaik & Yongsheng Xu & Walter Bossert, 2000. "Choice under complete uncertainty: axiomatic characterizations of some decision rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 295-312.
    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. Barbera, S. & Bossert, W. & Pattanaik, P.K., 2001. "Ranking Sets of Objects," Cahiers de recherche 2001-02, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    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. Mahmoud, Ola, 2022. "Second-order uncertainty and naive diversification," Economics Letters, Elsevier, vol. 216(C).
    4. Bettina Klaus & Panos Protopapas, 2020. "Solidarity for public goods under single-peaked preferences: characterizing target set correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(3), pages 405-430, October.
    5. José Alcantud & Ritxar Arlegi, 2008. "Ranking sets additively in decisional contexts: an axiomatic characterization," Theory and Decision, Springer, vol. 64(2), pages 147-171, March.
    6. Kerber, Manfred & Lange, Christoph & Rowat, Colin, 2016. "An introduction to mechanized reasoning," Journal of Mathematical Economics, Elsevier, vol. 66(C), pages 26-39.
    7. Murat Sertel & Arkadii Slinko, 2007. "Ranking committees, income streams or multisets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 30(2), pages 265-287, February.
    8. Arlegi, Ricardo, 2007. "Sequentially consistent rules of choice under complete uncertainty," Journal of Economic Theory, Elsevier, vol. 135(1), pages 131-143, July.
    9. Thai Ha-Huy & Tuyet Mai Nguyen, 2019. "Optimal growth and Ramsey-Rawls criteria," Documents de recherche 19-02, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
    10. Jorge Alcalde-Unzu & Ricardo Arlegi & Miguel Ballester, 2013. "Uncertainty with ordinal likelihood information," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(2), pages 397-425, July.
    11. José Alcantud & Ritxar Arlegi, 2012. "An axiomatic analysis of ranking sets under simple categorization," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 3(1), pages 227-245, March.
    12. 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.
    13. Shin Sato, 2008. "On strategy-proof social choice correspondences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 31(2), pages 331-343, August.
    14. Carmen Beviá & Luis Corchón, 2022. "Contests with dominant strategies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 74(4), pages 1-19, November.
    15. Guerdjikova, Ani, 2006. "Portfolio Choice and Asset Prices in an Economy Populated by Case-Based Decision Makers," Working Papers 06-13, Cornell University, Center for Analytic Economics.
    16. Gekker, Ruvin & van Hees, Martin, 2006. "Freedom, opportunity and uncertainty: A logical approach," Journal of Economic Theory, Elsevier, vol. 130(1), pages 246-263, September.
    17. Amélie Vrijdags, 2010. "An experimental investigation of transitivity in set ranking," Theory and Decision, Springer, vol. 68(1), pages 213-232, February.
    18. BOSSERT, Walter & SLINKO, Arkadii, 2004. "Relative Uncertainty and Additively Representable Set Rankings," Cahiers de recherche 2004-13, Universite de Montreal, Departement de sciences economiques.
    19. Carmelo Rodríguez-Álvarez, 2009. "On strategy-proof social choice correspondences: a comment," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(1), pages 29-35, January.
    20. Ha-Huy, Thai & Nguyen, Thi Tuyet Mai, 2022. "Saving and dissaving under Ramsey–Rawls criterion," Journal of Mathematical Economics, Elsevier, vol. 103(C).

    More about this item

    Keywords

    Complete uncertainty. Nonprobabilistic Decision Rules;

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

    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:nav:ecupna:0202. 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: Javier Puértolas (email available below). General contact details of provider: https://www.unavarra.es/departamento-economia .

    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.