Eigenvalue Problem and Nonlinear Programming Problem: For Economic Studies (New Frontiers in Regional Science: Asian Perspectives, 70) - Hardcover

Nakayama, Keiko

Hardcover

ISBN 10: 9819929423 ISBN 13: 9789819929429

Publisher: Springer, 2024

Synopsis

This book focuses on the Frobenius theorem regarding a nonlinear simultaneous system. The Frobenius theorem is well known as a condition for a linear simultaneous system’s having a nonnegative solution. Generally, however, the condition of a simultaneous system, including a non-linear system’s having a nonnegative solution, is hardly discussed at all. This book, therefore, extends the conventional Frobenius theorem for nonlinear simultaneous systems for economic analysis.

 Almost all static optimization problems in economics involve nonlinear programing. Theoretical models in economics are described in the form of a simultaneous system resulting from the rational optimization behavior of households and enterprises. On the other hand, rational optimization behavior of households and enterprises is, mathematically speaking, expressed as nonlinear programing. For this reason it is important to understand the meaning of nonlinear programing. Because this book includes explanations of the relations among various restrictions in a nonlinear programing systematically and clearly, this book is suitable for students in graduate school programs in economics.

About this title

About the Author

Keiko Nakayama, Professor, Chukyo University, Nagoya, Japan

 

Keiko Nakayama, 2022, A Forest Environmental Tax Scheme in Japan: Toward Water Source Cultivation-, Springer

 

Keiko Nakayama and Yuzuru Miyata (Editors), 2019, Theoretical and Empirical Analysis in Environmental Economics, Springer (Chapter 1 and Chapter 4)

From the Back Cover

This book focuses on the Frobenius theorem regarding a nonlinear simultaneous system. The Frobenius theorem is well known as a condition for a linear simultaneous system’s having a nonnegative solution. Generally, however, the condition of a simultaneous system, including a non-linear system’s having a nonnegative solution, is hardly discussed at all. This book, therefore, extends the conventional Frobenius theorem for nonlinear simultaneous systems for economic analysis.

 Almost all static optimization problems in economics involve nonlinear programing. Theoretical models in economics are described in the form of a simultaneous system resulting from the rational optimization behavior of households and enterprises. On the other hand, rational optimization behavior of households and enterprises is, mathematically speaking, expressed as nonlinear programing. For this reason, it is important to understand the meaning of nonlinear programing. Because this book includes explanations of the relations among various restrictions in a nonlinear programing systematically and clearly, this book is suitable for students in graduate school programs in economics.

Edition details

• Publisher: Springer
• Publication date: 2024
• Language: English
• ISBN 10: 9819929423
• ISBN 13: 9789819929429
• Binding: Hardcover
• Number of pages: 204