A traditional assumption in the definition of a generalized concave function f : X → Y is that both X and Y are subsets of vector spaces, often endowed with some topology. We define and study six classes of quasiconcave functions arising when the algebraic and topological structures of X and Y are replaced with partial or complete orders.
Ordinally quasiconcave functions
CIGOLA, MARGHERITA;LI CALZI, MARCO
1997
Abstract
A traditional assumption in the definition of a generalized concave function f : X → Y is that both X and Y are subsets of vector spaces, often endowed with some topology. We define and study six classes of quasiconcave functions arising when the algebraic and topological structures of X and Y are replaced with partial or complete orders.
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