Chichilnisky, Graciela and Heal, Geoffrey (1979): Necessary and sufficient conditions for a resolution of the social choice paradox. Published in: Journal of Economic Theory , Vol. 31, No. No. 1 (October 1983): pp. 6887.

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Abstract
We present a restriction on the domain of individual preferences that is both necessary and sufficient for the existence of a social choice rule that is continuous, anonymous, and respects unanimity. The restriction is that the space of preferences be contractible. Contractibility admits a straightforward intuitive explanation, and is a generalisation of conditions such as single peakedness, value restrictedness and limited agreement, which were earlier shown to be sufficient for majority voting to be an acceptable rule. The only restriction on the number of individuals, is that it be finite and at least 2.
Item Type:  MPRA Paper 

Original Title:  Necessary and sufficient conditions for a resolution of the social choice paradox 
Language:  English 
Keywords:  social choice; preferences; mathematical modeling 
Subjects:  O  Economic Development, Innovation, Technological Change, and Growth > O2  Development Planning and Policy > O25  Industrial Policy O  Economic Development, Innovation, Technological Change, and Growth > O2  Development Planning and Policy > O24  Trade Policy ; Factor Movement Policy ; Foreign Exchange Policy O  Economic Development, Innovation, Technological Change, and Growth > O2  Development Planning and Policy > O22  Project Analysis 
Item ID:  8495 
Depositing User:  Graciela Chichilnisky 
Date Deposited:  28. Apr 2008 02:56 
Last Modified:  12. Feb 2013 08:09 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/8495 