Strategy-proofness and the reluctance to make large lies: the case of weak orders

Shin Sato ()

Social Choice and Welfare, 2013, vol. 40, issue 2, 479-494

Abstract: This article incorporates agents’ reluctance to make a large lie into an analysis. A social choice rule is D(k)-proof if the rule is nonmanipulable by false preferences within k distance from the sincere one, where k is a positive integer. If D(k)-proofness is not logically equivalent to strategy-proofness, then agents’ reluctance to make a large lie embodied in D(k)-proofness is effective to construct a nonmanipulable rule. This article considers weak orders as agents’ preferences. I prove that on the universal domain, D(k)-proofness is equivalent to strategy-proofness if and only if k ≥ m − 1, where m is the number of alternatives. Moreover, I find a sufficient condition on a domain for the equivalence of D(1)-proofness and strategy-proofness. Copyright Springer-Verlag 2013

Date: 2013
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DOI: 10.1007/s00355-011-0616-4

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