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We show that the class of social welfare functions that satisfy a weak independence condition identified by Campbell (J Econ 12:259–272, <CitationRef CitationID="CR8">1976</CitationRef>) and Baigent (J Econ 47(4):407–411, <CitationRef CitationID="CR2">1987</CitationRef>) is fairly rich and freed of a power concentration on a single individual. This positive result prevails when...</citationref></citationref>
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