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Order Topologies: Characterizations and Counterexamples

Vicki Knoblauch
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Vicki Knoblauch: University of Connecticut

No 2009-28, Working papers from University of Connecticut, Department of Economics

Abstract: The order topology generated by a consumerÇs preferences over a set of alternatives can enhance our understanding of those preferences by providing a notion of proximity between alternatives. It is their potential to enhance our understanding that motivates our general study of order topologies, in which we characterize order topologies (in the broadest sense, that is, topologies generated by binary relations) and present topological versions of two preference representation theorems. We then use our characterizations to construct exam- ples of topologies that are not order topologies. We also present examples that illustrate our topological preference representation results.

Keywords: consumer preferences; order topology; preference representation (search for similar items in EconPapers)
JEL-codes: C02 D11 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-pke
Date: 2009-09
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Persistent link: http://EconPapers.repec.org/RePEc:uct:uconnp:2009-28

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