Generalized convex duality and its economic applications. (English) Zbl 1105.90105
Hadjisavvas, Nicolas (ed.) et al., Handbook of generalized convexity and generalized monotonicity. New York, NY: Springer (ISBN 0-387-23255-9/hbk). Nonconvex Optimization and its Applications 76, 237-292 (2005).
Summary: This article presents an approach to generalized convex duality theory based on Fenchel-Moreau conjugations; in particular, it discusses quasiconvex conjugation and duality in detail. It also describes the related topic of microeconomics duality and analyzes the monotonicity of demand functions.
For the entire collection see [Zbl 1070.26002].
For the entire collection see [Zbl 1070.26002].
MSC:
| 90C46 | Optimality conditions and duality in mathematical programming |
