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arXiv · 1408.7044

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

Donald E. Campbell·Jerry S. Kelly
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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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Donald E. Campbell, Jerry S. Kelly. 2014-08-29. Two Theorems on the Range of Strategy-proof Rules on a Restricted Domain. https://arxiv.org/abs/1408.7044

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