Abstract: In this paper, I introduce a novel stability axiom for stochastic voting rules, called self-equivalence, by which a society considering whether to replace its voting rule using itself will choose not do so. I then show that under the unrestricted strict preference domain, a voting rule satisfying the democratic principles of anonymity, optimality, monotonicity and neutrality is self-equivalent if and only if it is the uniform random dictatorship. Thus, any society that desires stability and adheres to the aforementioned democratic principles is bound to either employ the uniform random dictatorship or decide whether to change its voting rule using a voting rule other than itself.
Author: Héctor HERMIDA-RIVERA.
Keywords: voting, uniform random dictatorship, self-equivalence.
JEL Codes: D71, D82.