A constructive analysis of convex-valued demand correspondence for weakly uniformly rotund and monotonic preference

Yasuhito Tanaka and Atsuhiro Satoh ()

MPRA Paper from University Library of Munich, Germany

Abstract: Bridges(1992) has constructively shown the existence of continuous demand function for consumers with continuous, uniformly rotund preference relations. We extend this result to the case of multi-valued demand correspondence. We consider a weakly uniformly rotund and monotonic preference relation, and will show the existence of convex-valued demand correspondence with closed graph for consumers with continuous, weakly uniformly rotund and monotonic preference relations. We follow the Bishop style constructive mathematics.

Keywords: constructive analysis; demand correspondence; weakly uniformly rotund and monotonic preference (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
Date: 2014-05-11
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