Abstract
This article considers social choice theory without the Pareto principle. We revisit the trade-off theorem developed by Campbell and Kelly (Econometrica 61:1355–1365, 1993) and generalize their result. By introducing an alternative measure of decisive structure, a dominance relation, we show that if a social welfare function dominates another social welfare function, then the number of pairs of alternatives which social ranking is independently of individual preferences under the former is not more than that under the latter. Moreover, we offer two applications of our main result.
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Cato, S., Sekiguchi, Y. A generalization of Campbell and Kelly’s trade-off theorem. Soc Choice Welf 38, 237–246 (2012). https://doi.org/10.1007/s00355-010-0527-9
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DOI: https://doi.org/10.1007/s00355-010-0527-9