Theory and Decision 70 (1):95-110 (2011)

Abstract
This article revisits the standard results of demand theory when the preference relation is a continuous preorder that admits an equicontinuous multi-utility representation. We study the consumer problem as the constrained maximization of a continuous vector-valued utility mapping, and show how to rederive those results. In particular, we provide a link between the literature on vector optimization and the analysis of the consumer problem under incomplete preferences
Keywords Incomplete preferences  Demand theory  Continuous vector-valued utility
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Reprint years 2011
DOI 10.1007/s11238-010-9206-7
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