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:|
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- Moulin,Hervi, 1989.
"Axioms of Cooperative Decision Making,"
Cambridge University Press, number 9780521360555, November.
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"Necessary and sufficient conditions for a resolution of the social choice paradox,"
Journal of Economic Theory,
Elsevier, vol. 31(1), pages 68-87, October.
- Chichilnisky, Graciela & Heal, Geoffrey, 1979. "Necessary and sufficient conditions for a resolution of the social choice paradox," MPRA Paper 8495, University Library of Munich, Germany, revised 20 Oct 1981.
- Chichilnisky, Graciela, 1983. "Social choice and game theory: recent results with a topological approach," MPRA Paper 8059, University Library of Munich, Germany.
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