SECTIONS AND EXTENSIONS OF CONCAVE FUNCTIONS
Academic Article
Overview
Identity
Additional Document Info
Other
View All
Overview
abstract
Necessary and sufficient conditions are given that a collection {symbol} i , 1il, of continuous, non-negative, concave functions on R n+ can all be realized as parallel sections of a single continuous, non-negative, concave function on R m+ , for some mn. This result shows at least the mathematical possibility of defining fundamental preferences in the sense of Kolm. An analogous result for quasi-convex functions is also proved. 1987.