IDEAS home Printed from https://ideas.repec.org/p/mse/wpsorb/v04039.html
   My bibliography  Save this paper

A note on the impossibility of a set of constitutions stable at different levels

Author

Listed:
  • Nicolas Houy

    (EUREQua)

Abstract

We demonstrate that no set of neutral and different social choice correspondences exists, so that, if proposed to a group of individuals, it leads to a uniquely defined society, stable in an intuitive sense. Weakening this latter condition makes it possible to reintroduce possibility. This appearance reveals itself as only transitory if seen as a way to escape the multiplicity of solutions problem in social choice theory. This last result is obtained by generalizing the concept of stability to higher levels

Suggested Citation

  • Nicolas Houy, 2004. "A note on the impossibility of a set of constitutions stable at different levels," Cahiers de la Maison des Sciences Economiques v04039, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:mse:wpsorb:v04039
    as

    Download full text from publisher

    File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/V04039.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Edi Karni & Zvi Safra, 2002. "Individual Sense of Justice: A Utility Representation," Econometrica, Econometric Society, vol. 70(1), pages 263-284, January.
    2. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
    3. Amartya Sen, 1999. "The Possibility of Social Choice," American Economic Review, American Economic Association, vol. 89(3), pages 349-378, June.
    4. Uzi Segal, 2000. "Let's Agree That All Dictatorships Are Equally Bad," Journal of Political Economy, University of Chicago Press, vol. 108(3), pages 569-589, June.
    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. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Theory and Decision, Springer, vol. 69(2), pages 289-316, August.
    2. Mostapha Diss, 2015. "Strategic manipulability of self-selective social choice rules," Annals of Operations Research, Springer, vol. 229(1), pages 347-376, June.
    3. Diss, Mostapha & Louichi, Ahmed & Merlin, Vincent & Smaoui, Hatem, 2012. "An example of probability computations under the IAC assumption: The stability of scoring rules," Mathematical Social Sciences, Elsevier, vol. 64(1), pages 57-66.
    4. SLINKO, Arkadii & KORAY, Semih, 2006. "Self-Selective Social Choice Functions," Cahiers de recherche 2006-21, Universite de Montreal, Departement de sciences economiques.

    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. Simon Grant & Atsushi Kajii & Ben Polak, 2003. "Accidents of Birth, Life Chances and the Impartial Observer," ISER Discussion Paper 0582, Institute of Social and Economic Research, Osaka University.
    2. David Heyd & Uzi Segal, 2006. "Democratically Elected Aristocracies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 103-127, August.
    3. Ma, Sinong & Safra, Zvi, 2016. "Fairness and Utilitarianism without Independence," CRETA Online Discussion Paper Series 20, Centre for Research in Economic Theory and its Applications CRETA.
    4. Mihir Bhattacharya, 2019. "Constitutionally consistent voting rules over single-peaked domains," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(2), pages 225-246, February.
    5. Vincenzo Atella & Jay Coggins & Federico Perali, 2005. "Aversion to inequality in Italy and its determinants," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 117-144, January.
    6. Antoinette Baujard & Muriel Gilardone, 2017. "Sen is not a capability theorist," Journal of Economic Methodology, Taylor & Francis Journals, vol. 24(1), pages 1-19, January.
    7. Omer F. Baris, 2018. "Timing effect in bargaining and ex ante efficiency of the relative utilitarian solution," Theory and Decision, Springer, vol. 84(4), pages 547-556, June.
    8. Regenwetter, Michel & Grofman, Bernard & Marley, A. A. J., 2002. "On the model dependence of majority preference relations reconstructed from ballot or survey data," Mathematical Social Sciences, Elsevier, vol. 43(3), pages 451-466, July.
    9. Simplice A. Asongu & Jacinta C. Nwachukwu, 2018. "Increasing Foreign Aid for Inclusive Human Development in Africa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 138(2), pages 443-466, July.
    10. Ada Ferrer-i-Carbonell & Bernard Van Praag, 2003. "Income Satisfaction Inequality and its Causes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(2), pages 107-127, August.
    11. Chambers, Christopher P., 2008. "Consistent representative democracy," Games and Economic Behavior, Elsevier, vol. 62(2), pages 348-363, March.
    12. Veneziani, Roberto & Yoshihara, Naoki, 2014. "One million miles to go: taking the axiomatic road to defining exploitation," UMASS Amherst Economics Working Papers 2014-10, University of Massachusetts Amherst, Department of Economics.
    13. Mollie Painter-Morland & Geert Demuijnck & Sara Ornati, 2017. "Sustainable Development and Well-Being: A Philosophical Challenge," Journal of Business Ethics, Springer, vol. 146(2), pages 295-311, December.
    14. 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.
    15. Khalid Iqbal, 2017. "Welfare Economics: A Story of Existence," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 20(64), pages 75-83, June.
    16. Azrieli, Yaron & Kim, Semin, 2016. "On the self-(in)stability of weighted majority rules," Games and Economic Behavior, Elsevier, vol. 100(C), pages 376-389.
    17. Grimalday, Gianluca & Karz, Anirban & Proto, Eugenio, 2012. "Everyone Wants a Chance: Initial Positions and Fairness in Ultimatum Games," CAGE Online Working Paper Series 93, Competitive Advantage in the Global Economy (CAGE).
    18. Antoinette Baujard, 2016. "Welfare economics," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 42, pages 611-624, Edward Elgar Publishing.
    19. Kingdon, Geeta Gandhi & Knight, John, 2007. "Community, comparisons and subjective well-being in a divided society," Journal of Economic Behavior & Organization, Elsevier, vol. 64(1), pages 69-90, September.
    20. Thomas Kourouxous & Thomas Bauer, 2019. "Violations of dominance in decision-making," Business Research, Springer;German Academic Association for Business Research, vol. 12(1), pages 209-239, April.

    More about this item

    Keywords

    Social choice correspondence; stability; self-selectivity;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:mse:wpsorb:v04039. 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: Lucie Label (email available below). General contact details of provider: https://edirc.repec.org/data/msep1fr.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.