IDEAS home Printed from https://ideas.repec.org/a/bas/econth/y2001i2p63-76.html
   My bibliography  Save this article

Fuzzy Preferences, Liberalism and Non-discrimination

Author

Listed:
  • Dinko Dimitrov

Abstract

In the present article we consider a situation in which the individual and collective preferences are fuzzy or intuitionistic fuzzy and present some results in this framework. These results are connected with the analysis of the Liberal paradox of Sen (1970) and the requirement of non-discrimination introduced by Xu (2000). It is argued that the introduction of fuzziness allows possibility results to be proven and well known notions in the social choice theory to be enriched.

Suggested Citation

  • Dinko Dimitrov, 2001. "Fuzzy Preferences, Liberalism and Non-discrimination," Economic Thought journal, Bulgarian Academy of Sciences - Economic Research Institute, issue 2, pages 63-76.
    • Handle: RePEc:bas:econth:y:2001:i:2:p:63-76
    as

    Download full text from publisher

    File URL: http://www.ceeol.com/aspx/issuedetails.aspx?issueid=a93e0864-8a9a-4c88-bfc4-2205b98ba95c&articleid=0e8345ff-bb83-428e-a081-15f83e572b32#a0e8345ff-bb83-428e-a081-15f83e572b32
    Download Restriction: Fee access
    ---><---

    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. Dutta, Bhaskan, 1987. "Fuzzy preferences and social choice," Mathematical Social Sciences, Elsevier, vol. 13(3), pages 215-229, June.
    2. Gregory Richardson, 1998. "The structure of fuzzy preferences: Social choice implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(3), pages 359-369.
    3. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    4. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
    5. repec:bla:econom:v:43:y:1976:i:171:p:217-45 is not listed on IDEAS
    6. Rajat Deb & Manabendra Dasgupta, 1996. "Transitivity and fuzzy preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 13(3), pages 305-318.
    7. repec:bla:econom:v:59:y:1992:i:234:p:139-59 is not listed on IDEAS
    8. Dinko Dimitrov, 2001. "On fuzzy non-discrimination," Economics Bulletin, AccessEcon, vol. 4(3), pages 1-6.
    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. S. Subramanian, 2010. "Liberty, equality, and impossibility: some general results in the space of 'soft' preferences," Journal of Economic Policy Reform, Taylor & Francis Journals, vol. 13(4), pages 325-341.
    2. Conal Duddy & Ashley Piggins, 2018. "On some oligarchy results when social preference is fuzzy," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 51(4), pages 717-735, December.
    3. Heinrich H. Nax & Stefano Balietti & Ryan O. Murphy & Dirk Helbing, 2018. "Adding noise to the institution: an experimental welfare investigation of the contribution-based grouping mechanism," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(2), pages 213-245, February.
    4. Perote-Pena, Juan & Piggins, Ashley, 2007. "Strategy-proof fuzzy aggregation rules," Journal of Mathematical Economics, Elsevier, vol. 43(5), pages 564-580, June.
    5. Richard Barrett & Maurice Salles, 2006. "Social Choice With Fuzzy Preferences," Economics Working Paper Archive (University of Rennes & University of Caen) 200615, Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS.
    6. Hannu Nurmi, 2001. "Resolving Group Choice Paradoxes Using Probabilistic and Fuzzy Concepts," Group Decision and Negotiation, Springer, vol. 10(2), pages 177-199, March.
    7. Piggins, Ashley & Duddy, Conal, 2016. "Oligarchy and soft incompleteness," MPRA Paper 72392, University Library of Munich, Germany.
    8. Colander, David, 2009. "What Was “It” That Robbins Was Defining?," Journal of the History of Economic Thought, Cambridge University Press, vol. 31(4), pages 437-448, December.
    9. Antoinette Baujard, 2016. "Utilitarianism and anti-utilitarianism," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 40, pages 576-588, Edward Elgar Publishing.
    10. Leo Katz & Alvaro Sandroni, 2020. "Limits on power and rationality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 507-521, March.
    11. Christian Roessler & Sandro Shelegia & Bruno Strulovici, 2018. "Collective Commitment," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 347-380.
    12. Wesley H. Holliday & Eric Pacuit, 2020. "Arrow’s decisive coalitions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 54(2), pages 463-505, March.
    13. Bernholz, Peter, 1997. "Property rights, contracts, cyclical social preferences and the Coase theorem: A synthesis," European Journal of Political Economy, Elsevier, vol. 13(3), pages 419-442, September.
    14. Mariotti, Marco & Veneziani, Roberto, 2013. "On the impossibility of complete Non-Interference in Paretian social judgements," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1689-1699.
    15. Azam, Jean-Paul, 2008. "Macroeconomic Agenda for Fiscal Policy and Aid Effectiveness in Post-Conflict Countries," IDEI Working Papers 539, Institut d'Économie Industrielle (IDEI), Toulouse.
    16. Christian Seidl, 1990. "On the impossibility of a generalization of the libertarian resolution of the liberal paradox," Journal of Economics, Springer, vol. 51(1), pages 71-88, February.
    17. Jean Lainé & Ali Ozkes & Remzi Sanver, 2016. "Hyper-stable social welfare functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 46(1), pages 157-182, January.
    18. Ngo Long & Vincent Martinet, 2018. "Combining rights and welfarism: a new approach to intertemporal evaluation of social alternatives," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(1), pages 35-64, January.
    19. Bezalel Peleg, 2002. "Complete Characterization of Acceptable Game Forms by Effectivity Functions," Discussion Paper Series dp283, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    20. John A. Weymark, 2017. "Conundrums for nonconsequentialists," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 269-294, February.

    More about this item

    JEL classification:

    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - 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:bas:econth:y:2001:i:2:p:63-76. 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: Diana Dimitrova (email available below). General contact details of provider: https://edirc.repec.org/data/ikbasbg.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.