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...

How can we assess the diversity of a group of decision makers? Identifying decision makers with their preferences, we address this question by applying the multi-attribute approach developed by Nehring and Puppe (2002) to sets of preferences. Specifically, we provide a repertoire of alternative...