Constructive notions of strict convexity | Zendy

Bridges Douglas S. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Constructive notions of strict convexity

Author(s) -

Bridges Douglas S.

Publication year - 1993

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.19930390135

Subject(s) - convexity , constructive , mathematics , mathematical proof , mathematical economics , point (geometry) , relation (database) , preference relation , preference , calculus (dental) , computer science , geometry , statistics , economics , medicine , dentistry , process (computing) , database , financial economics , operating system

Two classically equivalent, but constructively inequivalent, strict convexity properties of a preference relation are discussed, and conditions given under which the stronger notion is a consequence of the weaker. The last part of the paper introduces uniformly rotund preferences, and shows that uniform rotundity implies strict convexity. The paper is written from a strictly constructive point of view, in which all proofs embody algorithms. MSC: 03F60, 90A06.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research