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Multidimensional Screening

  • Suren┬áBasov

Part of the Studies in Economic Theory book series (ECON.THEORY, volume 22)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Mathematical Preliminaries

  3. Economics of Multidimensional Screening

About this book

Introduction

The book brings into a focus all necessary mathematical knowledge necessary to understand the economics of multidimensional 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 multidimensional screening models. Part II is devoted to the economics of sceening models. It starts with a detailed discussion of economics and mathematics of unidimensional 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 multidimensional context are discussed and the Hamiltonian approach is used to provide the most complete characterization of the solution known in the literature.

 

 

 

Keywords

Generalized Convexity Hamiltonian Approach Mechanism Design Multi-dimensional Screening Non-linear Pricing Screening calculus

Authors and affiliations

  • Suren┬áBasov
    • 1
  1. 1.Department of EconomicsUniversity of MelbourneMelbourneAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/b138910
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-540-23906-2
  • Online ISBN 978-3-540-27313-4
  • Series Print ISSN 1431-8849
  • Buy this book on publisher's site
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