Increasing quasiconcave co-radiant functions with applications in mathematical economics

Autor:	Alexander Rubinov, Juan Enrique Martínez-Legaz, Siegfried Schaible
Rok vydání:	2005
Předmět:	Set (abstract data type) Quasiconvex function Mathematical optimization Production theory General Mathematics Duality (mathematics) Management Science and Operations Research Mathematical economics Software Convexity Generator (mathematics) Mathematics
Zdroj:	Mathematical Methods of Operations Research. 61:261-280
ISSN:	1432-5217 1432-2994
DOI:	10.1007/s001860400405
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::62b7898dab1efd1304f4c67cbc845aba https://doi.org/10.1007/s001860400405 Zobrazit plný text záznamu Plný text ve formátu PDF