Chichilnisky, Graciela (1985): Von Neuman Morgenstern utilities and cardinal preferences. Published in: Mathematical Operations Research , Vol. 10, (November 1985): pp. 288296.

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Abstract
We study the aggregation of preferences when intensities are taken into account: the aggregation of cardinal preferences, and also of von NeumannMorgenstern utilities for choices under uncertainty. We show that with a finite number of choices there exist no continuous anonymous aggregation rules that respect unanimity, for such preferences or utilities. With infinitely many (discrete sets of) choices, such rules for exist and they are constructed here. However, their existence is not robust: each is a limit of rules that do not respect unanimity. Both results are for a finite number of individuals.
The results are obtained by studying the global topological structure of spaces of cardinal preferences and of von NeumannMorgenstern utilities. With a finite number of choices, these spaces are proven to be noncontractible. With infinitely many choices, on the other hand, they are proven to be contractible.
Item Type:  MPRA Paper 

Original Title:  Von Neuman Morgenstern utilities and cardinal preferences 
Language:  English 
Keywords:  preferences; cardinal preferences; aggregation; von Neumann; Morgenstern; Morgenstern utilities; unanimity; utilities 
Subjects:  C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics > C43  Index Numbers and Aggregation C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  8090 
Depositing User:  Graciela Chichilnisky 
Date Deposited:  04. Apr 2008 06:34 
Last Modified:  12. Feb 2013 13:01 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/8090 