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| Author | : Masanao Aoki |
| Publisher | : North Holland |
| Total Pages | : 400 |
| Release | : 1976-01-01 |
| Genre | : Economics |
| ISBN | : 9780720486032 |
| Author | : Masano Aoki |
| Publisher | : |
| Total Pages | : 400 |
| Release | : 1976 |
| Genre | : |
| ISBN | : |
| Author | : Michael Ralph Caputo |
| Publisher | : Cambridge University Press |
| Total Pages | : 596 |
| Release | : 2005-01-17 |
| Genre | : Business & Economics |
| ISBN | : 9780521603683 |
Foundations of Dynamic Economic Analysis presents a modern and thorough exposition of the fundamental mathematical formalism used to study optimal control theory, i.e., continuous time dynamic economic processes, and to interpret dynamic economic behavior. The style of presentation, with its continual emphasis on the economic interpretation of mathematics and models, distinguishes it from several other excellent texts on the subject. This approach is aided dramatically by introducing the dynamic envelope theorem and the method of comparative dynamics early in the exposition. Accordingly, motivated and economically revealing proofs of the transversality conditions come about by use of the dynamic envelope theorem. Furthermore, such sequencing of the material naturally leads to the development of the primal-dual method of comparative dynamics and dynamic duality theory, two modern approaches used to tease out the empirical content of optimal control models. The stylistic approach ultimately draws attention to the empirical richness of optimal control theory, a feature missing in virtually all other textbooks of this type.
| Author | : Masanao Aoki |
| Publisher | : Elsevier |
| Total Pages | : 425 |
| Release | : 1979-01-28 |
| Genre | : Technology & Engineering |
| ISBN | : 0323140793 |
New Trends in Dynamic System Theory and Economics contains selected papers presented at a two-week seminar on New Trends in Dynamic System Theory and Economics held at the International Center for Mechanical Sciences in Udine, Italy, on September 12-23, 1977. Contributors discuss recent trends in the application of dynamic system theory in economic analysis, paying particular attention to information patterns and uncertainty, optimal control theory and its application, and disequilibrium analysis. This book is divided into three sections and consists of 20 chapters. Decision problems of agents with different or imperfect information or under uncertainty are first discussed. This section gives a detailed analysis of the properties of Nash and Stackelberg equilibria in dynamic games under several different information patterns. Consideration is also given to microdecision problems of individual agents, macroeconomic stabilization of an uncertain dynamic economy, and the uncertainty of parameter values. The chapters that follow focus on recent advances in optimal control theory and application of control theory. Disequilibrium analysis of a macroeconomic model is presented, along with the dynamics of disequilibria of a macroeconomic model with flexible wages and prices. A generalization of Pareto optimality is used to discuss the connection between the optimality and stability problems in a general setting. The last three chapters explore ""modern"" approaches to tâtonnement processes. This book will be of interest to students and practitioners of applied mathematics and econometrics.
| Author | : |
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| Total Pages | : |
| Release | : 1873 |
| Genre | : |
| ISBN | : |
| Author | : Aoki M. |
| Publisher | : |
| Total Pages | : 0 |
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| Author | : Gustav Feichtinger |
| Publisher | : North Holland |
| Total Pages | : 696 |
| Release | : 1985 |
| Genre | : Business & Economics |
| ISBN | : |
| Author | : Masanao Aoki |
| Publisher | : North-Holland |
| Total Pages | : 428 |
| Release | : 1976 |
| Genre | : Business & Economics |
| ISBN | : |
| Author | : Masanao Aoki |
| Publisher | : |
| Total Pages | : 400 |
| Release | : 1976 |
| Genre | : |
| ISBN | : |
| Author | : Daniel Léonard |
| Publisher | : Cambridge University Press |
| Total Pages | : 372 |
| Release | : 1992-01-31 |
| Genre | : Business & Economics |
| ISBN | : 9780521337465 |
Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.
