Social choice with a continuous ordering function
The purpose of this paper is to get some fresh insights into social choice problems by treating the aggregation procedure as a continuous ordering of the reports individuals give of the value they attach to different states of the world where these reports are treated as a continuous path in n dimensional space. This approach allows us to ask different sorts of questions that belong more naturally to a continuous framework. It also allows us to exploit readily available tools of algebra and analysis in order to get some different insights into the kind of information conditions that make coherent collective decisions possible, or cause them to fail. What the paper says, roughly, is that the initial reports must contain sufficient information to allow their dimension to be reduced in a consistent manner. In particular it shows that an additive welfare function of the Bergson- Samuelson sort seems to have some properties that give it a natural appeal. JEL Categories: C65, D71.
|Date of creation:||Jun 2006|
|Date of revision:|
|Contact details of provider:|| Postal: Thompson Hall, Amherst, MA 01003|
Web page: http://www.umass.edu/economics
More information through EDIRC
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.:
- Moulin,Hervi, 1991.
"Axioms of Cooperative Decision Making,"
Cambridge University Press, number 9780521424585, December.
- 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.
- Chichilnisky, Graciela, 1983. "Social choice and game theory: recent results with a topological approach," MPRA Paper 8059, University Library of Munich, Germany.
- Maurice Salles, 2005. "Social Choice," Post-Print halshs-00337075, HAL.
- Chichilnisky, Graciela & Heal, Geoffrey, 1979.
"Necessary and sufficient conditions for a resolution of the social choice paradox,"
8495, University Library of Munich, Germany, revised 20 Oct 1981.
- Chichilnisky, Graciela & Heal, Geoffrey, 1983. "Necessary and sufficient conditions for a resolution of the social choice paradox," Journal of Economic Theory, Elsevier, vol. 31(1), pages 68-87, October.
When requesting a correction, please mention this item's handle: RePEc:ums:papers:2006-09. 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: (Daniele Girardi)
If references are entirely missing, you can add them using this form.