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More on Harsanyi's Utilitarian Cardinal Welfare Theorem

Border, Kim C. (1984) More on Harsanyi's Utilitarian Cardinal Welfare Theorem. Social Science Working Paper, 547. California Institute of Technology , Pasadena, CA. (Unpublished)

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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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Border, Kim C.0000-0003-4437-0524
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
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:81552
Deposited By: Jacquelyn Bussone
Deposited On:19 Sep 2017 16:26
Last Modified:03 Oct 2019 18:44

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