
doi: 10.2139/ssrn.2644220
We give a direct and very short proof of the famous Gibbard-Satterthwaite theorem [Alan Gibbard (1977) and Mark Satterthwaite (1975)]. The proof is based on investigating the properties of one critical preference profile constructed from those alternatives that individuals are not decisive on. These are alternatives that must exist if no one is a dictator.
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