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Misinterpretation of the Gibbard–Satterthwaite Theorem in Voting Systems

The Gibbard–Satterthwaite theorem is often misinterpreted to imply that preferential voting systems are either manipulative or dictatorial. However, this overlooks the crucial condition that the system must always yield a result. In reality, the theorem suggests that voting systems which cannot signal the need for more deliberation can lead to manipulation and dictatorship.

Mathematics & logic, Mathematics, Mathematical Logic