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

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  • Tanaka, Yasuhito
  • Satoh, Atsuhiro

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.

Suggested Citation

  • Tanaka, Yasuhito & Satoh, Atsuhiro, 2014. "A constructive analysis of convex-valued demand correspondence for weakly uniformly rotund and monotonic preference," MPRA Paper 55889, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:55889
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    File URL: https://mpra.ub.uni-muenchen.de/55889/1/MPRA_paper_55889.pdf
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    References listed on IDEAS

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    1. Bridges, Douglas S., 1992. "The construction of a continuous demand function for uniformly rotund preferences," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 217-227.
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      Keywords

      constructive analysis; demand correspondence; weakly uniformly rotund and monotonic preference;
      All these keywords.

      JEL classification:

      • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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