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Aggregation Procedure for Cardinal Preferences: A Formulation and Proof of Samuelson's Impossibility Conjecture

Ehud Kalai and David Schmeidler
Econometrica
Vol. 45, No. 6 (Sep., 1977), pp. 1431-1438
Published by: The Econometric Society
DOI: 10.2307/1912309
Stable URL: http://www.jstor.org/stable/1912309
Page Count: 8
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Aggregation Procedure for Cardinal Preferences: A Formulation and Proof of Samuelson's Impossibility Conjecture
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Abstract

Samuelson conjectured that Arrow's impossibility theorem will hold in a cardinal setup where individuals and society express their preferences by von-Neumann Morgenstern utility functions. It is shown that this is true provided that an additional axiom of continuity is imposed and that it is not true when continuity is not required.

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