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Donald E. Campbell

Publications and source records attributed to Donald E. Campbell.

2 recordsLinked to original sources

Strategy-proofness on the Non-Paretian Subdomain

Let g be a strategy-proof rule on the domain NP of profiles where no alternative Pareto-dominates any other. Then we establish a result with a Gibbard-Satterthwaite flavor: g is dictatorial if its range contains at least three alternatives.

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

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.

math.CO