Constructive notions of strict convexity

✍ 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
• DOI: 10.1002/malq.19930390135

✦ 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.