Two preference metrics provide settings for the study of properties of binary relations

Vicki Knoblauch ()

Theory and Decision, 2015, vol. 79, issue 4, 615-625

Abstract: The topological structures imposed on the collection of binary relations on a given set by the symmetric difference metric and the Hausdorff metric provide opportunities for learning about how collections of binary relations with various properties fit into the collection of all binary relations. For example, there is some agreement and some disagreement between conclusions drawn about the rarity of certain properties of binary relations using first the symmetric difference metric and then the Hausdorff metric. Copyright Springer Science+Business Media New York 2015

Keywords: Preference; Metric spaces; Measure (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11238-015-9487-y

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