Continuity of Preference Relations for Separable Topologies
February 1988
Article
volume 29, issue 1 pp 105-110.
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In Debreu (1954, 1959) some classical results were provided for consumer theory. Necessary and sufficient conditions were given for the existence of (con- tinuous) utility functions to represent preference relations of consumers. Further results are given in Bowen (1968), Jaffray (1975), Richter (1980), and Chateauneuf (1985).
Keywords
Automatically Extracted Terms
- countable
- element
- y e x
- utility
- topology
- utility function
- subset
- function
- class
- theorem
- proof
- non-empty
- equivalence classes
- equivalence
- lemma
- w.r.t
- relation
- preference relations
- preference
- utility functions
