Econometrica: May 1971, Volume 39, Issue 3

The Continuous Representation of a Social Preference Ordering<593:TCROAS>2.0.CO;2-3
p. 593-597

J. S. Kelly

It is shown that single-peaked, continuous utility functions do not, in general,aggregate in majority voting to a continuous social utility function. Conditions on individual preference orderings to guarantee a continuous social utility function are presented for a simple case.

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