Abstract
Quasiconcave functions are characterized by the convexity of the upper level sets. This paper presents the additional properties which are required to characterize explicitly quasiconcave functions, which include the strictly quasiconcave functions. These additional properties are expressed in terms of the properties of and relationships between the level set, the upper level set, the boundary, and the profile of the upper level set.
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Communicated by M. Avriel
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Danao, R.A. Some properties of explicitly quasiconcave functions. J Optim Theory Appl 74, 457–468 (1992). https://doi.org/10.1007/BF00940321
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DOI: https://doi.org/10.1007/BF00940321