Continuity of preference relations for separable topologies

Authors
  • P.P. Wakker
Publication date 1988
Journal International Economic Review
Volume | Issue number 29
Pages (from-to) 105-110
Organisations
  • Faculty of Economics and Business (FEB) - Amsterdam School of Economics Research Institute (ASE-RI)
Abstract A preference relation is shown to be continuous with respect to some separable topology, if and only if the preference relation is embeddable in the product set of Re and {0,1}, endowed with the lexicographic ordering. This result is used as the starting point to obtain alternative proofs for some representation theorems of consumer theory.
Document type Article
Published at https://doi.org/10.2307/2526810
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