Anonymous and Neutral Social Choice:Existence Results on Resoluteness

We present the existence conditions of anonymous, neutral and resolute social welfare and social choice rules in a group theoretical framework. We define the maximum domain at which such aggregation rules exist. We propose a tie-breaking procedure to obtain resolute refinements of social choice rules, which preserves anonymity and neutrality. The conditions for this refinement to satisfy simple monotonicity are compared with such conditions for the resolute refinements obtained via conventional tie-breaking mechanisms.