Duality and Modern Economics

Duality and Modern Economics book cover

Duality and Modern Economics

Author(s): Richard Cornes (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 13 Oct. 2008
  • Edition: Illustrated
  • Language: English
  • Print length: 308 pages
  • ISBN-10: 0521336015
  • ISBN-13: 9780521336017

Book Description

Dual arguments have become a standard tool for analysis of problems involving optimization by consumers and producers. The principal aim of this book is to provide a fairly systematic yet simple exposition of the basic structure of such arguments. The emphasis is not on providing mathematically general proofs; instead, a geometric approach is used to provide, in an informal way, an intuitive understanding of duality theory. This book introduces the most common alternative ways of representing preferences and technologies, such as indirect utility and distance functions, expenditure and cost functions, and profit and revenue functions. and it discusses the assumptions under which alternative formulations contain precisely the same information. Results such as Roy’s identity. the Hotelling-Wold identity, and Shephard’s lemma are fully explained. as are their roles in facilitating analysis of behaviour.

Editorial Reviews

Book Description

Dual arguments have become a standard tool for analysis of problems involving optimization by consumers and producers.

From the Back Cover

Dual arguments have, in recent years, become standard tools for analysis of problems involving optimization by consumers and producers. The principal aim of this book is to provide a fairly systematic yet simple exposition of the basic structure of such arguments.

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