Border, K. C. (1985) More on Harsanyi's utilitarian cardinal welfare theorem. Social Choice and Welfare, 1 (4). pp. 279-281. ISSN 0176-1714. https://resolver.caltech.edu/CaltechAUTHORS:20170919-101333544
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Abstract
If individuals and society both obey the expected utility hypothesis and social alternatives are uncertain, then the social utility must be a linear combination of the individual utilities, provided the society is indifferent when all its members are. This result was first proven by Harsanyi [4] who made implicit assumptions in the proof not actually needed for the result (see [5]). This note presents a straightforward proof of Harsanyi's theorem based on a separating hyperplane argument.
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| Additional Information: | © 1985 Springer-Verlag. Received: 21 September 1984; Accepted: 25 October 1984. I wish to thank Stephen Selinger for pointing out Resnick's argument to me and W. A. J. Luxemburg for a useful discussion which simplified the argument. | ||||||||||||
| Issue or Number: | 4 | ||||||||||||
| Record Number: | CaltechAUTHORS:20170919-101333544 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170919-101333544 | ||||||||||||
| Official Citation: | Border, K.C. Soc Choice Welfare (1985) 1: 279. https://doi.org/10.1007/BF00649263 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 81563 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 19 Sep 2017 17:19 | ||||||||||||
| Last Modified: | 03 Oct 2019 18:44 |
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