More on Harsanyi's utilitarian cardinal welfare theorem
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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  who made implicit assumptions in the proof not actually needed for the result (see ). This note presents a straightforward proof of Harsanyi's theorem based on a separating hyperplane argument.
KeywordsLinear Combination Economic Theory Implicit Assumption Individual Utility Social Utility
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