Question 10.55

25. The Gibbard-Satterthwaite theorem says that the following four properties of voting systems cannot be satisfied simultaneously:

  1. Elections always have unique winners.
  2. It satisfies the Pareto condition.
  3. It is nonmanipulable.
  4. It is not a dictatorship.

Which of the four properties are satisfied by a dictatorship?

25.

Properties 1, 2, and 3