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Alternatives vs. Outcomes: A Note on the Gibbard-Satterthwaite Theorem

Tjark Weber

MPRA Paper from University Library of Munich, Germany

Abstract: The Gibbard-Satterthwaite theorem is a well-known theorem from the field of social choice theory. It states that every voting scheme with at least 3 possible outcomes is dictatorial or manipulable. Later work on the Gibbard-Satterthwaite theorem frequently does not distinguish between alternatives and outcomes, thereby leading to a less general statement that requires the voting scheme to be onto. We show how the Gibbard-Satterthwaite theorem can be derived from the seemingly less general formulation.

Keywords: Gibbard-Satterthwaite theorem; infeasible alternatives (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-cdm, nep-hpe, nep-lab and nep-pol
Date: 2009-10-12
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