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Constructive notions of strict convexity

โœ Scribed by Douglas S. Bridges


Book ID
102486534
Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
346 KB
Volume
39
Category
Article
ISSN
0044-3050

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โœฆ Synopsis


Abstract

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.


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