Geometric Properties of Explicitly Quasiconcave Functions

Rolando Danao
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Rolando Danao: School of Economics, University of the Philippines Diliman

No 198908, UP School of Economics Discussion Papers from University of the Philippines School of Economics

Abstract: Quasiconcave functions are characterized by the convexity of the upper level sets. It is natural to ask what additional properties are required to characterize explicitly quasiconcave functions, (which contain the strictly quasiconcave functions). We show that these additional properties can be expressed in terms of the properties of and relationship between the level set, the upper level set, the boundary and the profile of the upper level set.

Date: 1989-07
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Published as UPSE Discussion Paper No. 1989-08, July 1989

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