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Convexity in semi-metric spaces, decision theory and consumer theory

João Ferreira do Amaral

No 2017/13, Working Papers REM from ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa

Abstract: Convexity is a concept usually developed in vector spaces. However since the seventies of the 20th century, convexity is also study in metric spaces in general. In this paper we develop a theory of convexity - including convex real functions - in semi-metric spaces and we suggest some possible applications in Economics and Decision Theory.

Date: 2017-11
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