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:

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.

• Item Type: MPRA Paper
• Language: English
• Keywords: constructive analysis, demand correspondence, weakly uniformly rotund and monotonic preference
• Subjects: D - Microeconomics > D1 - Household Behavior and Family Economics > D11 - Consumer Economics: Theory

References

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D. Bridges, ``The construction of a continuous demand function for uniformly rotund preferences'', Journal of Mathematical Economics, vol. 21, pp. 217-227, 1992.

D. Bridges, ``Constructive notions of strict convexity'', Mathematical Logic Quarterly, vol. 39, pp. 295-300, 1993.