Border, Kim C. (1984) More on Harsanyi's Utilitarian Cardinal Welfare Theorem. Social Science Working Paper, 547. California Institute of Technology , Pasadena, CA. (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20170918-163836570
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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: | Report or Paper (Working Paper) | ||||||
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Additional Information: | 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. Published as Border, Kim C. "More on Harsanyi's utilitarian cardinal welfare theorem." Social Choice and Welfare 1.4 (1985): 279-281. | ||||||
Group: | Social Science Working Papers | ||||||
Series Name: | Social Science Working Paper | ||||||
Issue or Number: | 547 | ||||||
Record Number: | CaltechAUTHORS:20170918-163836570 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170918-163836570 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 81552 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Jacquelyn Bussone | ||||||
Deposited On: | 19 Sep 2017 16:26 | ||||||
Last Modified: | 03 Oct 2019 18:44 |
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