From local to global additive representation

doi:10.1016/0304-4068(93)90002-3

Journal of Mathematical Economics

Volume 22, Issue 6, 1993, Pages 523-545

https://doi.org/10.1016/0304-4068(93)90002-3 Get rights and content

Abstract

This paper studies continuous additive representations of transitive preferences on connected subdomains of product sets. Contrary to what has sometimes been thought, local additive representability does not imply global additive representability. It is shown that the result can nevertheless be established under some additional connectedness conditions. This generalizes previous results on additive representations on (subsets of) product sets.

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^*: The research of Peter Wakker has been made possible by a fellowship of the Royal Netherlands Academy of Arts and Sciences, and a fellowship of the Netherlands Organization for Scientific Research.

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From local to global additive representation

Abstract

Journal of Economic Theory

Journal of Mathematical Psychology

Journal of Economic Behavior and Organization

Journal of Mathematical Economics

Journal of Mathematical Psychology

Journal of Mathematical Economics

Journal of Mathematical Psychology

Journal of Mathematical Economics

Geometrie der Gewebe

Eléments de mathématiques, topologie générale

Axiomatic rank-dependent means

Annals of Operations Research

Topological methods in cardinal utility theory

Continuity properties of Paretian utility

International Economic Review

Utility independence on subsets of product sets

Operations Research