We investigate the ways in which a linear order on a finite set A can be consistently extended to a linear order on a set Pk(A) of multisets on A of fixed cardinality k. We show that for card(A) = 3 all linear orders on Pk(A) are additive and classify them by means of Farey fractions. For...

This study is an attempt to empirically understand public preferences concerning social choice rules. We focus on four social choice rules (SCRs): Plurality, Plurality with a Run-off, the Majoritarian Compromise (MC) and Borda's SCR. We confront our subjects with hypothetical preference profiles...

We investigate the ways in which a linear order on a finite set A can be consistently extended to a linear order on a set Pk(A) of multisets on A of fixed cardinality k. We show that for card(A) = 3 all linear orders on Pk(A) are additive and classify them by means of Farey fractions. For...