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2 edition of Characteristic features of optimal control problems in economic theory. found in the catalog.

Characteristic features of optimal control problems in economic theory.

Rodney Dobell

Characteristic features of optimal control problems in economic theory.

by Rodney Dobell

  • 68 Want to read
  • 20 Currently reading

Published by Institute for the Quantitative Analysis of Social and Economic Policy, University of Toronto in [Toronto] .
Written in English

    Subjects:
  • Economics, Mathematical,
  • Control theory

  • Classifications
    LC ClassificationsHB74 M3 D58 1968
    The Physical Object
    Pagination[32,4,2 leaves]
    Number of Pages3242
    ID Numbers
    Open LibraryOL18622294M

    1& theory of "games of strategy" developed by one of us in several successive IIstages in and Mter the presentation of this theory, its Iapplication to economic problems in the sense indicated above will be undertaken. It willappear that it,provides a new approach to a number of ~\economic questions as yet unsettled. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in : $

    Contact Us. Mises Institute. West Magnolia Avenue Auburn, Alabama PHONE | FAX Email Us. Tu ne cede malis, sed contra audentior ito. GET NEWS AND ARTICLES IN YOUR INBOX.   Foundations Of Optimal Control Theory by E. B. Lee, L. Markus. Publication date Topics Optimal control theory Collection folkscanomy; additional_collections Language English. Foundations of Optimal Control Theory. by. E. B. Lee & L. Markus. Addeddate .

    Keynesian economics (/ ˈ k eɪ n z i ə n / KAYN-zee-ən; sometimes Keynesianism, named for the economist John Maynard Keynes) are various macroeconomic theories about how in the short run – and especially during recessions – economic output is strongly influenced by aggregate demand (total spending in the economy).In the Keynesian view, aggregate demand does not necessarily equal the. OPTIMAL CONTROL All of these examples have a common structure. They each have the following form: max x„t”,y„t” ∫ T 0 F„x„t”,y„t”,t”dt s.t. dy dt g„x„t”,y„t”,t”∀t 2»0,T y„0” y0 This is a generic continuous time optimal control problem. x is called a control variable, and y is called a state variable. The choice of x controls the evolution of y File Size: KB.


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Characteristic features of optimal control problems in economic theory by Rodney Dobell Download PDF EPUB FB2

Some Characteristic Features of Optimal Control Problems in Economic Theory A. DOBELL Abstract-This paper formulates the system equations, state and control space constraints, and a criterion functional for an ele- mentary example of a problem in economic growth, and discusses.

This of course implies a theory about social causation—the theory that the economic pattern is the really operative element in the sum total of the phenomena that we call society.” ― Joseph Alois Schumpeter, Capitalism, Socialism and Democracy.

An important feature of the book is the inclusion of a large number of examples, in which the theory is applied to a wide variety of economics problems. The presentation of simple models helps illuminate pertinent qualitative and analytic points, useful when confronted with a more complex by: The content of economic theory: There has been a lot of controversy among economist about the true content of economic theory or its subject matter.

The subject matter of economics or economic theory has been variously defined. According to Adam Smith economics enquires into the nature and causes of the wealth of Size: KB. Chapter 2 Optimal Control Optimal control is the standard method for solving dynamic optimization problems, when those problems are expressed in continuous time.

It was developed by inter alia a bunch of Russian mathematicians among whom the central character was Size: KB. Section 2 deals with the applications of classical control theory to economic stabilization policies. In section 3, we examine the factors which were historically conducive in the application of optimal control theory to economic optimization problems.

Section 4 deals with the early applications of theAuthor: Masoud Derakhshan. Control theory methods in economics have historically developed over three phases. The first involved basically the feedback control rules in a deterministic framework which were applied in macrodynamic models for analyzing stabilization policies.

The second phase raised the issues of various types of inconsistencies in deterministic optimal control models due to changing information and other. A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume.

Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic. Control theory can be regarded as a collection of methods to be used by economists, like statistics or some other fields of applied mathematics.

A great number of economic applications of control theory relate to theoretical issues, such as growth theory, the theory of exhaustible resources, intergenerational allocation problems, by: Optimal control theory has been extensively applied to the solution of economic problems since the early papers that appeared in Shell () and the works of Arrow () and Shell ().

Publisher Summary. This chapter presents singular characteristics of the HJBI equation in state constraint optimal control problems. For a state constraint optimal control problem, the equations of motion along the constraint surface are derived in the form of singular characteristics that are given by an ODE system in closed form.

Control theory, field of applied mathematics that is relevant to the control of certain physical processes and systems. Although control theory has deep connections with classical areas of mathematics, such as the calculus of variations and the theory of differential equations, it did not become a field in its own right until the late s and early s.

economic problems require the use of optimal control theory. For example, optimization over time such as maximizations of utility over an individual's life time and of profit and social welfare of a country over time and optimization over space such as the ones analyzed in this book fit in its framework.

Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This book is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining by: This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume.

Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume.

Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. There have, in fact, been many other applications of control theory in economics.

At the macroeconomic level control theory has been used to study problems of economic stabilization and regulation, fiscal and monetary policy, international borrowing, and the allocation of investment among different sectors of the by: 3.

This book serves not only as an introduction, but also as an advanced text and reference source in the field of deterministic optimal control systems governed by ordinary differential equations.

It also includes an introduction to the classical calculus of variations. An important feature of the book is the inclusion of a large number of examples, in which the theory is applied to a wide. Purchase Optimal Control Theory with Economic Applications, Volume 24 - 1st Edition.

Print Book & E-Book. ISBNBook Edition: 1. What makes economic theory scientific is the fact that it makes hypothesis and creates models to test those hypotheses on real data and they then try to change their models accordingly to the data to be able to predict it in future with better precision.

This is esentially how economic theory is scientific. Economic Theory provides an outlet for research in all areas of economics based on rigorous theoretical reasoning and on topics in mathematics that are supported by the analysis of economic problems.

Published articles contribute to the understanding and solution of substantive economic problems. Among the topics addressed in the journal are classical and modern equilibrium theory, cooperative.modern economic theory and development Neoclassical theorists could not, of course, turn a blind eye to the fact that the kind of convergence predicted by theory was not occur-ring, and thus they had to look to some “outside” intervention.

Gov-ernment failures provided an .“Managerial economics is the application of economic theory and methodology to decision-making problems faced by both public and private institutions”.

Managerial economics studies the application of the principles, techniques and concepts of economics to .