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

Tanaka, Yasuhito and Satoh, Atsuhiro (2014): A constructive analysis of convex-valued demand correspondence for weakly uniformly rotund and monotonic preference. Published in:

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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.

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