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Two Theorems on the Range of Strategy-proof Rules on a Restricted Domain

Published 29 Aug 2014 in math.CO | (1408.7044v1)

Abstract: Let g be a strategy-proof rule on the domain NP of profiles where no alternative Pareto-dominates any other and let g have range S on NP. We complete the proof of a Gibbard-Satterthwaite result - if S contains more than two elements, then g is dictatorial - by establishing a full range result on two subdomains of NP.

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