Question 10.27

27. The Gibbard-Satterthwaite theorem says that with three or more candidates and any number of voters, there is no voting system that

  1. is not a dictatorship.
  2. is nonmanipulable and is not a dictatorship.
  3. satisfies the Pareto condition, is nonmanipulable, and is not a dictatorship.
  4. always yields a unique winner, satisfies the Pareto condition, is nonmanipulable, and is not a dictatorship.

27.

d