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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
##### Keywords:
manipulability; social welfare function; Kemeny distance
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