In this paper we examine the relation between strategy-proofness and unanimity in a domain of private good economies with single-peaked preferences. We prove that, under a mild condition, a social choice function satisfies strategy-proofness if and only if it is unanimous. As implication, we...

This paper presents the conditions required for a profile in order to never exhibit either the strong or the strict Borda paradoxes under all weighted scoring rules in three-candidate elections. The main particularity of our paper is that all the conclusions are extracted from the differences of...

For committee or multiwinner elections, the Chamberlin-Courant rule (CCR), which combines the Borda rule and the proportional representation, aims to pick the most representative committee (Chamberlin and Courant, 1983). Chamberlin and Courant (1983) have shown that if the size of the committee...