Optimization in economic theory
著者
書誌事項
Optimization in economic theory
Oxford University Press, 1990
2nd ed
- : pbk
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注記
Previous ed.: 1976
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
: pbk ISBN 9780198772101
内容説明
* This is the new edition of a popular student textbook. The first edition was well-received. The author has made revisions and additions to enhance the book's usefulness without destroying its distinctive character as a lucid, thorough, and readable text. It gives a broad treatment of optimization methods, building on simple economic theory and elementary linear algebra and calculus, and reinforcing each new mathematical idea by relating it to its economics
application.
目次
- Lagrange's Method
- Extensions and Generalizations
- Shadow Prices
- Maximum Value Functions
- Convex Sets and Their Separation
- Concave Programming
- Second-order Conditions
- Time: The Maximum Principle
- Uncertainty
- Dynamic Programming
- Appendix - Kuhn-Tucker Theorem.
- 巻冊次
-
ISBN 9780198772118
内容説明
In the new edition of this student text, the author has made substantial revisions and additions to enhance the book's usefulness without destroying its character as a lucid and readable text. Most economics courses separate the teaching of the mathematics of constrained maximization from its economic applications. The aim of this book is to provide an integrated treatment of optimization that relates mathematics to economics from the outset, thus facilitating a quicker and deeper understanding. Proofs of the mathematical therorems are structured to bring out points of economic interest and to enable economic applications. The illustrative examples are also chosen for their economic interest and usefulness and suggestions for further reading are provided at the end of each chapter. This new edition has been revised to accommodate the siginificant changes the subject has undergone since the publication of the first edition. A chapter on uncertainty has been added with treatment of topics such as finance and asymmetric information, and the chapter on dynamic programmming has been expanded.
目次
- Lagrange's method
- shadow prices
- maximum value functions
- inequality constraints
- concave programming
- results and applications
- comparative statics
- second-order conditions
- optimization over time
- dynamic programming
- some applications
- concluding remarks.
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