Acyclic domains of linear orders : a survey
Among the many significant contributions of Fishburn to social choice theory some have borne on what he has called “acyclic sets”, i.e. these sets of linear orders where majority rule applies without “Condorcet effect” (majority relation never has cycles). Search for large such domains is a fascinating topic. I review the works in this field and in particular a recent one allowing to show the connections between some of them unrelated up to now.
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