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Inertia implies disorder: kinks, incompleteness, and intransitivity. (English) Zbl 1482.91119

Summary: If every point in the consumption set \(X=\mathbb{R}_+^\ell\) is supportable as a demand by more than one normalized positive price vector, and the asymmetric part of the reflexive binary relation that generates the demand is open, then the binary relation is incomplete or intransitive, that is, non-ordered.

MSC:

91B42 Consumer behavior, demand theory
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