Sections and extensions of concave functions Academic Article uri icon

abstract

  • Necessary and sufficient conditions are given that a collection φ{symbol} i , 1≦i≦l, of continuous, non-negative, concave functions on R n+ can all be realized as parallel sections of a single continuous, non-negative, concave function ψ on R m+ , for some m≧n. 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.

author list (cited authors)

  • Howe, R.

citation count

  • 9

publication date

  • January 1987