Mathematics for stability and optimization of economic systems

作者: Yasuo Murata

DOI:

关键词: Optimal controlMathematical economicsEconomic systemStability (learning theory)EconomicsVon Neumann architectureDual (category theory)Dynamical systems theoryEigenvalues and eigenvectorsLinear systemVector space

摘要: Economic Theory and Mathematical Economics: Mathematics for Stability Optimization of Systems provides information pertinent to the stability aspects optimization methods relevant various economic systems. This book presents mathematical theorems sufficient develop important systems, including Leontief input–output Keynesian dynamic models, Ramsey optimal accumulation von Neumann expanding Organized into two parts encompassing nine chapters, this begins with an overview useful on matrices, eigenvalue problems, matrices dominant diagonals P-matrices. text then explores linear transformations vector spaces. Other chapters consider Hawkins–Simon theorem concerning non-negative discusses as well dual relations applicable inequality The final chapter deals powerful control method dynamical is a valuable resource mathematicians, economists, research workers, graduate students.

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