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

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  • 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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/cahiers2004/V04039.pdf
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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Cahiers de la Maison des Sciences Economiques with number v04039.

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Length: 17 pages
Date of creation: Apr 2004
Date of revision:
Handle: RePEc:mse:wpsorb:v04039

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Keywords: Social choice correspondence; stability; self-selectivity.;

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References

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  1. Amartya Sen, 1999. "The Possibility of Social Choice," American Economic Review, American Economic Association, vol. 89(3), pages 349-378, June.
  2. 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.
  3. Semih Koray, 2000. "Self-Selective Social Choice Functions Verify Arrow and Gibbarad- Satterthwaite Theorems," Econometrica, Econometric Society, vol. 68(4), pages 981-996, July.
  4. Edi Karni & Zvi Safra, 2002. "Individual Sense of Justice: A Utility Representation," Econometrica, Econometric Society, vol. 70(1), pages 263-284, January.
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Cited by:
  1. Mostapha Diss, 2013. "Strategic manipulability of self-­selective social choice rules," Working Papers halshs-00785366, HAL.
  2. SLINKO, Arkadii & KORAY, Semih, 2006. "Self-Selective Social Choice Functions," Cahiers de recherche 2006-21, Universite de Montreal, Departement de sciences economiques.
  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. Mostapha Diss & Vincent Merlin, 2010. "On the stability of a triplet of scoring rules," Post-Print halshs-00443854, HAL.
  5. Mostapha Diss, 2013. "Strategic manipulability of self-selective social choice rules," Working Papers 1302, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.

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