Ordinally Quasiconcave Functions^§

^§Financial support from M.U.R.S.T. and Bocconi University is acknowledged

Abstract

A traditional assumption in the definiion of 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 algebric and topological structures of X and Y are replaced with partial or complete orders

Keywords:

• Ordinal Quasiconcavity
• Generalized Quasiconcavity
• Partiality Ordered Sets
• Lattices

^§Financial support from M.U.R.S.T. and Bocconi University is acknowledged

^§Financial support from M.U.R.S.T. and Bocconi University is acknowledged

Notes

^§Financial support from M.U.R.S.T. and Bocconi University is acknowledged