Increasing quasiconcave co-radiant functions with applications in mathematical economics

Juan Enrique Martinez-Legaz, Alexander M. Rubinov (amr@ballarat.edu.au) and Siegfried Schaible (siegfried.schaible@ucr.edu)

Mathematical Methods of Operations Research, 2005, vol. 61, issue 2, 280 pages

Abstract: We study increasing quasiconcave functions which are co-radiant. Such functions have frequently been employed in microeconomic analysis. The study is carried out in the contemporary framework of abstract convexity and abstract concavity. Various properties of these functions are derived. In particular we identify a small “natural” infimal generator of the set of all coradiant quasiconcave increasing functions. We use this generator to examine two duality schemes for these functions: classical duality often used in microeconomic analysis and a more recent duality concept. Some possible applications to the theory of production functions and utility functions are discussed. Copyright Springer-Verlag 2005

Keywords: Abstract convexity; Duality; Co-radiant functions; Quasiconcave functions; Production functions; Utility functions (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s001860400405

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