We propose the concept of level r consensus as a useful property of a preference profile which considerably enhances the stability of social choice. This concept involves a weakening of unanimity, the most extreme form of consensus. It is shown that if a preference profile exhibits level r...

We investigate how individuals think groups should aggregate members' ordinal preferences - that is, how they interpret "the will of the people." In an experiment, we elicit revealed attitudes toward ordinal preference aggregation and classify subjects according to the rules they apparently...

A voting paradox arises when the outcome of a case is the opposite of the resolution of the individual issues within the case. For instance, eight Justices believe a statute is constitutional under the Due Process Clause, and five Justices believe the same statute is constitutional under the...

Prior to a collective binary choice, members of a group receive binary signals correlated with the better option. Expanding membership may provide no benefit, but expertise is everywhere beneficial. If the group ignores any statistical dependence among the signals, as through majority vote, an...

The Condorcet Jury Theorem is derived from the implicit assumption that jury members only commit one type of error. If the probability of this error is smaller than 0.5, then group decisions are better than those of individual members. In binary decision situations, however, two types of error...

We introduce a procedurally fair rule to study a situation where people disagree about the value of three alternatives in the way captured by the voting paradox. The rule allows people to select a final collective ranking by submitting a bid vector with six components (the six possible rankings...

Condorcet domains are sets of linear orders with the property that, whenever the preferences of all voters of a society belong to this set, their majority relation has no cycles. We observe that, without loss of generality, every such domain can be assumed to be closed in the sense that it...

It is proved that, among all restricted preference domains that guarantee consistency (i.e. transitivity) of pairwise majority voting, the single-peaked domain is the only minimally rich and connected domain that contains two completely reversed strict preference orders. It is argued that this...

Utilitarian voting (UV) is defined in this paper as any voting rule that allows the voter to rank all of the alternatives by means of the scores permitted under a given voting scale. Specific UV rules that have been proposed are approval voting, allowing the scores 0, 1; range voting, allowing...

The paper challenges the "orthodox doctrine" of collective choice theory according to which Arrow's "general possibility theorem" precludes rational decision procedures generally and implies that in particular all voting procedures must be flawed. I point out that all voting procedures are...