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Arrovian aggregation in economic environments: how much should we know about indifference surfaces?

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  • Fleurbaey, Marc
  • Suzumura, Kotaro
  • Tadenuma, Koichi

Abstract

Arrow's celebrated theorem of social choice shows that the aggregation of individual preferences into a social ordering cannot make the ranking of any pair of alternatives depend only on individual preferences over that pair, unless the fundamental weak Pareto and nondictatorship principles are violated. In the standard model of division of commodities, we investigate how much information about indifference hypersurfaces is needed to construct social ordering functions satisfying the weak Pareto principle and anonymity. We show that local information such as marginal rates of substitution or the shapes "within the Edgeworth box" is not enough, and knowledge of substantially non-local information is necessary.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 124 (2005)
Issue (Month): 1 (September)
Pages: 22-44

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Handle: RePEc:eee:jetheo:v:124:y:2005:i:1:p:22-44

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. d'Aspremont, Claude & Gevers, Louis, 1977. "Equity and the Informational Basis of Collective Choice," Review of Economic Studies, Wiley Blackwell, vol. 44(2), pages 199-209, June.
  2. Chichilnisky, G, 1996. "A Unified perspective on Resource Allocation : Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice," Discussion Papers 1996_29, Columbia University, Department of Economics.
  3. Bordes, Georges & Breton, Michel Le, 1989. "Arrovian theorems with private alternatives domains and selfish individuals," Journal of Economic Theory, Elsevier, vol. 47(2), pages 257-281, April.
  4. Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328.
  5. M. Fleurbaey & F. Maniquet, 2000. "Fair Social Orderings With Unequal Production Skills," THEMA Working Papers 2000-17, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
  6. Dirk Van de gaer & Marc Fleurbaey & Walter Bossert, 1999. "Responsibility, talent, and compensation: A second-best analysis," Review of Economic Design, Springer, vol. 4(1), pages 35-55.
  7. M. Fleurbaey & F. Maniquet, 2008. "Fair social orderings," Economic Theory, Springer, vol. 34(1), pages 25-45, January.
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Citations

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Cited by:
  1. Fleurbaey, Marc, 2006. "Is commodity taxation unfair?," Journal of Public Economics, Elsevier, vol. 90(10-11), pages 1765-1787, November.
  2. Marc Fleurbaey & Koichi Tadenuma, 2007. "Do Irrelevant Commodities Matter?," Econometrica, Econometric Society, vol. 75(4), pages 1143-1174, 07.
  3. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 2006-01, Universite de Montreal, Departement de sciences economiques.
  4. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth II: Pareto optimality and some economic interpretations," GE, Growth, Math methods 0511007, EconWPA.
  5. Jean-Francois Laslier, 2006. "Strategic approval voting in a large electorate," Working Papers halshs-00121751, HAL.
  6. Mohamed Mabrouk, 2005. "Intergenerational anonymity as an alternative to the discounted- sum criterion in the calculus of optimal growth I: Consensual optimality," GE, Growth, Math methods 0510013, EconWPA.
  7. Michel Le Breton & John A. Weymark, 2002. "Arrovian Social Choice Theory on Economic Domains," Vanderbilt University Department of Economics Working Papers 0206, Vanderbilt University Department of Economics, revised Sep 2003.
  8. Mabrouk, Mohamed, 2006. "Allais-anonymity as an alternative to the discounted-sum criterion in the calculus of optimal growth I: Consensual optimality," MPRA Paper 10512, University Library of Munich, Germany.
  9. Sakai, Toyotaka, 2009. "Walrasian social orderings in exchange economies," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 16-22, January.
  10. Yves SPRUMONT, 2009. "Relative Egalitarianism and Related Criteria," Cahiers de recherche 02-2009, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
  11. Marc Fleurbaey, 2003. "Social Welfare, Priority to the Worst-Off And the Dimensions of Individual Well-Being," IDEP Working Papers 0312, Institut d'economie publique (IDEP), Marseille, France.
  12. Campbell, Donald E. & Kelly, Jerry S., 2009. "Uniformly bounded information and social choice," Journal of Mathematical Economics, Elsevier, vol. 45(7-8), pages 415-421, July.
  13. Daniel J. Benjamin & Ori Heffetz & Miles S. Kimball & Nichole Szembrot, 2013. "Aggregating Local Preferences to Guide Marginal Policy Adjustments," NBER Working Papers 18787, National Bureau of Economic Research, Inc.
  14. Donald E. Campbell & Jerry S. Kelly, 2007. "Uniformly Bounded Information and Social Choice," Working Papers 49, Department of Economics, College of William and Mary.
  15. M. Fleurbaey & F. Maniquet, 2008. "Fair social orderings," Economic Theory, Springer, vol. 34(1), pages 25-45, January.

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