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Strategy-proofness of social welfare functions: The use of the Kemeny distance between preference orderings. (English) Zbl 0760.90004
Let \(f\) be a social welfare function defined on the space of preferences of \(n\) voters. The distance between an individual’s true preference and social preference is measured by the Kemeny distance. The main result is that if there are at least 4 alternatives and the number of voters is even, there exists no social welfare function which is nonimposed, strategyproof, and weakly independent. This result generalizes the theorem of Gibbard and Satterthwaite.

MSC:
91B14 Social choice
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