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| Author | : Morton I. Kamien |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 0486310280 |
Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.
| Author | : Pan-Tai Liu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 273 |
| Release | : 2013-03-09 |
| Genre | : Science |
| ISBN | : 1468435728 |
As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.
| Author | : Giovanni Romeo |
| Publisher | : Academic Press |
| Total Pages | : 816 |
| Release | : 2019-11-28 |
| Genre | : Business & Economics |
| ISBN | : 0128176490 |
Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization shows readers how to apply static and dynamic optimization theory in an easy and practical manner, without requiring the mastery of specific programming languages that are often difficult and expensive to learn. Featuring user-friendly numerical discrete calculations developed within the Excel worksheets, the book includes key examples and economic applications solved step-by-step and then replicated in Excel. After introducing the fundamental tools of mathematical economics, the book explores the classical static optimization theory of linear and nonlinear programming, applying the core concepts of microeconomics and some portfolio theory. This provides a background for the more challenging worksheet applications of the dynamic optimization theory. The book also covers special complementary topics such as inventory modelling, data analysis for business and economics, and the essential elements of Monte Carlo analysis. Practical and accessible, Elements of Numerical Mathematical Economics with Excel: Static and Dynamic Optimization increases the computing power of economists worldwide. This book is accompanied by a companion website that includes Excel examples presented in the book, exercises, and other supplementary materials that will further assist in understanding this useful framework. Explains how Excel provides a practical numerical approach to optimization theory and analytics Increases access to the economic applications of this universally-available, relatively simple software program Encourages readers to go to the core of theoretical continuous calculations and learn more about optimization processes
| Author | : A. Simonovits |
| Publisher | : Springer |
| Total Pages | : 308 |
| Release | : 2000-06-05 |
| Genre | : Business & Economics |
| ISBN | : 0230513530 |
This book contains a concise description of important mathematical methods of dynamics and suitable economic models. It covers discrete as well as continuous-time systems, linear and nonlinear models. Mixing traditional and modern materials, the study covers dynamics with and without optimization, naive and rational expectations, respectively. In addition to standard models of growth and cycles, the book also contains original studies on control of a multisector economy and expectations-driven multicohort economy. Numerous examples, problems (with solutions) and figures complete the book.
| Author | : Pan-Tai Liu |
| Publisher | : |
| Total Pages | : 280 |
| Release | : 1980-03-01 |
| Genre | : |
| ISBN | : 9781468435733 |
| Author | : Michael D. Intriligator |
| Publisher | : SIAM |
| Total Pages | : 515 |
| Release | : 2002-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898715113 |
A classic account of mathematical programming and control techniques and their applications to static and dynamic problems in economics.
| Author | : Peter J. Lambert |
| Publisher | : Wiley-Blackwell |
| Total Pages | : 231 |
| Release | : 1985-01-01 |
| Genre | : Business & Economics |
| ISBN | : 9780631141389 |
| Author | : Peter Lambert |
| Publisher | : Wiley-Blackwell |
| Total Pages | : 231 |
| Release | : 1985 |
| Genre | : Business & Economics |
| ISBN | : 9780631141396 |
This book contains a compact, accessible treatment of the main mathematical topics encountered in economics at an advanced level, moving from basic material into the twin areas of static and dynamic optimization. Nearly half of the book is devoted to a survey of univariate calculus, matrix algebra and multuvariate calculus. This fundamental material is made vigorous by the inclusion of a variety of applications. The later chapters focus on the Lagrange multiplier technique: when it will work, why it works and what economic insights it yields. The properties of maximum value functions and duality are explored, as are the Hamiltonian conditions for dynamic problems in the optimal control format. Dynamic programming and the calculus of variations are also covered. Much of the discussion proceeds at a heuristic level and by worked example, but the theorems and proofs required by the most analytical user are also to be found. The underlying message is that the language of mathematics can be productive, giving expression to the ideas and facilitating approaches from which insights flow that may be hard to come by in other ways. The book will be particularly useful for final year undergraduates doing mathematics for economists courses, and postgraduate students.
| Author | : Alpha C. Chiang |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2000 |
| Genre | : Economics, Mathematical |
| ISBN | : 9781577660965 |
INTRODUCTION 1.
| Author | : Angel de la Fuente |
| Publisher | : Cambridge University Press |
| Total Pages | : 630 |
| Release | : 2000-01-28 |
| Genre | : Business & Economics |
| ISBN | : 9780521585293 |
A textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.
