Another direct proof for the Gibbard–Satterthwaite Theorem
Uuganbaatar Ninjbat ()
Economics Letters, 2012, vol. 116, issue 3, 418-421
Abstract:
We prove the following result which is equivalent to the Gibbard–Satterthwaite Theorem: when there are at least 3 alternatives, for any unanimous and strategy-proof social choice function, at any given profile if an individual’s top ranked alternative differs from the social choice, then she can not change the social choice at that profile by changing her ranking. Hence, proving it yields a new proof for the Gibbard–Satterthwaite Theorem.
Keywords: The Gibbard–Satterthwaite Theorem; Strategy-proofness; Option sets (search for similar items in EconPapers)
JEL-codes: D71 D72 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecolet:v:116:y:2012:i:3:p:418-421
DOI: 10.1016/j.econlet.2012.04.009
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