Working paper N. 754 Maggio 2017
Stefano Vannucci
DEPS, USiena
Abstract
It is shown that the posets of both substructural and
classical symmetric consequence relations ordered by set-inclusion are (non-boolean) completely distributive complete lattices. Therefore, those two basic versions of symmetric consequence relations are amenable to anonymous neutral and idempotent strategy- proof aggregation by majority polynomial rules on single-peaked domains. In particular, the majority rule is characterized as the only aggregation rule for odd profiles of symmetric consequence relations that is anonymous, bi-idempotent and strategy-proof on arbitrary rich locally unimodal domains.
Jel Codes
D71
