Multidimensional Screening

The book brings into a focus all necessary mathematical knowledge necessary to understand the economics of multi-dimensional results screening and applies them straightaway to economic models. The first part of this book contains a review of vector calculus, the theory of partial differential equations, and the theory of generalized convexity. These techniques are extensively used in multi-dimensional screening models. Part II is devoted to the economics of sceening models. It starts with a detailed discussion of economics and mathematics of one-dimensional screening problems and three approaches to their solution: direct, dual, and Hamiltonian. It uses the Hamiltonian approach to unify all known results, which were previously obtained using different arguments. Then the major difficulties with direct and dual approach in the multi-dimensional context are discussed by using the Hamiltonian approach to provide the most complete characterization of the solution known in the literature. TOC:Part I: Mathematical Preliminaries: Vector Calculus.- Partial Differential Equations.- Theory of Generalized Convexity.- Calculus of Variations and the Optimal Control.- Miscellaneous Techniques.- Part II: Economics of Muli-dimensional Screening: The Unidimensional Screening Model.- The Multi-dimensional Screening Model.- Beyond the Quasilinear Case.- Existence, Uniqueness, and Regularity Properties of the Solution.- Conclusions

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 9783540239062 ; 3540239065
• Dimensions: 24 cm
• Extent: XIV, 202 S.
• Language: Englisch
• Notes: Literaturverz. S. 199 - 202

References and Relationships

• Bibliographic citation: Studies in economic theory ; 22

Classification and Topics

• Classification: Wirtschaft
• Keyword: Wirtschaftsmodell ; Screening ; Mehrdimensionalität

Contributors, Places and Time

• Event: Veröffentlichung
• (where): Berlin, Heidelberg, New York
• (who): Springer
• (when): 2005
• Creator: Basov, Suren

Further information

• Table of contents: https://d-nb.info/972615059/04
• Rights: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Last update: 11.03.2025, 11:45 AM CET