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.
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Paper provided by University of Connecticut, Department of Economics in its series Working papers with number
2009-28.
Length: 16 pages Date of creation: Sep 2009 Date of revision: Handle: RePEc:uct:uconnp:2009-28
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