Condorcet versus participation criterion in social welfare rules

Abstract

Moulin (1988) shows that there exists no social choice rule, that satisfies the following two criteria at the same time: the Condorcet criterion and the participation criterion, a.k.a., No Show Paradox. We extend these criteria to social welfare rules, i.e., rules that choose rankings for each preference profile. We show that the impossibility does not hold, and one particular rule, the Kemeny rule satisfies both the Condorcet and the participation criteria.