Strategy-proofness and weighted voting

Donald E. Campbell and Jerry S. Kelly

Mathematical Social Sciences, 2010, vol. 60, issue 1, 15-23

Abstract: A strict social welfare function (SSWF) that always yields an asymmetric binary relation with a single maximal alternative induces a social choice rule on its domain. It is known that if the induced rule is strategy-proof then it can also be generated by a SSWF satisfying non-reversal. This paper proves that a SSWF satisfying anonymity and IIAsatisfies non-reversal if and only if it is a weighted voting rule. If there are less than six voters then a SSWF satisfying neutrality and IIA satisfies non-reversal if and only if it is a weighted voting rule, but this equivalence does not hold for more than five voters.

Keywords: Non-reversal; Strategy-proof; Weighted; voting (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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