Preference, topology and measure

Vicki Knoblauch ()

Social Choice and Welfare, 2014, vol. 43, issue 2, 507-514

Abstract: A symmetric difference metric topology on the collection of binary relations on a countably infinite set provides a new setting for the study of properties of preferences and, as an illustration, is used to lend credence and meaning to some simple intuitions about properties of binary relations. A finite measure on a $$\sigma $$ σ -algebra over the same collection of binary relations is used to provide support for the topological results. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Binary relation; Symmetric difference metric space; Measure space; D11; C65 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s00355-013-0788-1

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