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More on Harsanyi's utilitarian cardinal welfare theorem

Border, K. C. (1985) More on Harsanyi's utilitarian cardinal welfare theorem. Social Choice and Welfare, 1 (4). pp. 279-281. ISSN 0176-1714. http://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.


Item Type:Article
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https://doi.org/10.1007/BF00649263DOIArticle
https://link.springer.com/article/10.1007%2FBF00649263PublisherArticle
http://resolver.caltech.edu/CaltechAUTHORS:20170918-163836570Related ItemWorking Paper
ORCID:
AuthorORCID
Border, K. C.0000-0003-4437-0524
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.
Record Number:CaltechAUTHORS:20170919-101333544
Persistent URL:http://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:19 Sep 2017 17:19

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