SECTIONS AND EXTENSIONS OF CONCAVE FUNCTIONS Academic Article uri icon

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.

published proceedings

  • JOURNAL OF MATHEMATICAL ECONOMICS

author list (cited authors)

  • HOWE, R.

citation count

  • 9

complete list of authors

  • HOWE, R

publication date

  • January 1987