We show that Barberá and Sonnenschein’s (1978) power function becomes additive if we replace the Paretian condition by nonimposition and monotonicity. Since these conditions are very much in the spirit of Arrow (1951), our result sharpens the analogy to Arrow’s theorem. Copyright...

This paper replacesGibbard’s (Econometrica 45:665-681, <CitationRef CitationID="CR10">1977</CitationRef>) assumption of strict ordinal preferences by themore natural assumption of cardinal preferences on the set pure social alternatives and we also admit indifferences among the alternatives. By following a similar line of reasoning to...</citationref>