Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: May, 1978, Volume 46, Issue 3

Non-Convexifiable Pareto Sets<571:NPS>2.0.CO;2-W
p. 571-575

Rolf Mantel, Yakar Kannai

The existence of comprehensive sets in R^3 which cannot be transformed onto convex sets by means of ordinal transformations (i.e., continuous, strictly increasing transformations of the coordinate axes) is established. Such sets can be realized as the disposable hulls of pure exchange economies with convex preference orderings.

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