Arrovian Aggregation in Economic Environments: How Much Should We Know About Indifference Surfaces?
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.
|Date of creation:||Nov 2002|
|Date of revision:|
|Note:||November 2002 (First version: July 2001)|
|Contact details of provider:|| Postal: |
Web page: http://cis.ier.hit-u.ac.jp/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- CHICHILNISKY , Graciela, 1995.
"A Unified Perspective on Resource Allocation : Limited Arbitrage is Necessary and Sufficient for the Existence of a Competitive Equilibrium, the Core and Social Choice,"
CORE Discussion Papers
1995027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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," Papers 96-20, Columbia - Graduate School of Business.
- 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.
- 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.
- d'ASPREMONT, Claude & GEVERS, Louis, . "Equity and the informational basis of collective choice," CORE Discussion Papers RP -350, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- FLEURBAEY, Marc & MANIQUET, François, .
"Fair social orderings,"
CORE Discussion Papers RP
-1995, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Kenneth J. Arrow, 1950. "A Difficulty in the Concept of Social Welfare," Journal of Political Economy, University of Chicago Press, vol. 58, pages 328.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:hit:piedp1:121. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Digital Resources Section, Hitotsubashi University Library)The email address of this maintainer does not seem to be valid anymore. Please ask Digital Resources Section, Hitotsubashi University Library to update the entry or send us the correct address
If references are entirely missing, you can add them using this form.