More on Harsanyi's utilitarian cardinal welfare theorem
type: Item
instance of: scholarly article
title: More on Harsanyi's utilitarian cardinal welfare theorem
zbMATH Open document ID: 0605.90015
DOI: 10.1007/BF00649263
published in: Social Choice and Welfare
publication date: 1985-01-01T00:00:00Z
review text: 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 \textit{J. Harsanyi} [J. Polit. Econ. 63, 309-321 (1955)] who made implicit assumptions in the proof not actually needed for the result [see \textit{M. D. Resnick}, Theory Decis. 15, 309-320 (1983; Zbl 0519.90015)]. This note presents a straightforward proof of Harsanyi's theorem based on a separating hyperplane argument.
Mathematics Subject Classification ID: 91B14
Mathematics Subject Classification ID: 91B16
zbMATH DE Number: 3978748
zbMATH Keywords: expected utility hypothesis
zbMATH Keywords: separating hyperplane
author: Kim C. Border
MaRDI profile type: Publication
cites work: Q5615833
cites work: On Harsanyi's utilitarian cardinal welfare theorem
cites work: A restriction on a theorem of Harsanyi
cites work: Sequence spaces with a given Köthe \(\beta\)-dual
full work available at URL: https://doi.org/10.1007/bf00649263
OpenAlex ID: W2086839183
description: scientific article; zbMATH DE number 3978748