A Characterization of Pareto Surfaces
- 1 November 1973
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 41 (1) , 261-267
- https://doi.org/10.2307/2038853
Abstract
Given concave continuous functions defined over the unit -cube , the corresponding attainable set and Pareto surface are defined. In the economic interpretation, corresponds to the set of attainable utility outcomes realized through trading, and the set of such outcomes for which no trader can attain more without another getting less. Sets of the form of and are characterized among all subsets of . The notion of complexity (the smallest for which a given can be realized) is briefly discussed, as is the idea of a ``market game".Keywords
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