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商品描述
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.
商品描述(中文翻譯)
本書專注於弗羅貝尼烏斯定理，該定理涉及非線性同時方程組。弗羅貝尼烏斯定理被廣泛認識為線性同時方程組存在非負解的條件。然而，一般情況下，幾乎沒有討論包括非線性系統在內的同時方程組存在非負解的條件。因此，本書將傳統的弗羅貝尼烏斯定理擴展到經濟分析中的非線性同時方程組。
經濟學中的幾乎所有靜態優化問題都涉及非線性規劃。經濟學的理論模型以家庭和企業的理性優化行為形成同時方程組的形式描述。另一方面，家庭和企業的理性優化行為在數學上被表達為非線性規劃。因此，理解非線性規劃的意義非常重要。由於本書系統而清晰地解釋了非線性規劃中各種限制之間的關係，因此本書非常適合經濟學研究生課程的學生閱讀。
作者簡介
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)
作者簡介(中文翻譯)
中山恵子，日本名古屋中京大学教授。
中山恵子，2022年，《日本的森林环境税制：朝向水源培育》，Springer出版。
中山恵子和宫田譲（编辑），2019年，《环境经济学的理论与实证分析》，Springer出版（第1章和第4章）。
