Stochastic Models Of Control And Economic Dynamics
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Stochastic Models Of Control And Economic Dynamics
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Author : Vadim Iosifovich Arkin
language : en
Publisher: London : Academic Press
Release Date : 1987
Stochastic Models Of Control And Economic Dynamics written by Vadim Iosifovich Arkin and has been published by London : Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Business & Economics categories.
This book is devoted to a specific problem in the general theory of automatic control -- sequential control under conditions of incomplete information. The main results concern the case in which at each moment of (continuous) time only a finite number of controls are admissible and the results of control action are represented by realizations of random variables whose distributions at a given control correspond to one of several alternative hypotheses. The analysis is conducted in a Bayesian framework.
Stochastic Models Of Control And Economic Dynamics
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Author : I.V. Evstigneev
language : es
Publisher:
Release Date : 1987
Stochastic Models Of Control And Economic Dynamics written by I.V. Evstigneev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Stochastic Economics
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Author : Gerhard Tintner
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Stochastic Economics written by Gerhard Tintner and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Stochastic Economics: Stochastic Processes, Control, and Programming presents some aspects of economics from a stochastic or probabilistic point of view. The application of stochastic processes to the theory of economic development, stochastic control theory, and various aspects of stochastic programming is discussed. Comprised of four chapters, this book begins with a short survey of the stochastic view in economics, followed by a discussion on discrete and continuous stochastic models of economic development. The next chapter focuses on methods of stochastic control and their application to dynamic economic models, with emphasis on those aspects connected especially with the theory of quantitative economic policy. Some basic operational problems of applying stochastic control, particularly in economic systems and organizations for problems such as dynamic resource allocation, growth planning, and economic coordination are considered. The last chapter is devoted to stochastic programming, paying particular attention to the decision rule theory of operations research under the chance-constrained model and a method of incorporating reliability measures into a systems reliability model. This book will be of interest to economists, statisticians, applied mathematicians, operations researchers, and systems engineers.
The Economics Of Inaction
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Author : Nancy L. Stokey
language : en
Publisher: Princeton University Press
Release Date : 2009
The Economics Of Inaction written by Nancy L. Stokey and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Business & Economics categories.
In The Economics of Inaction, leading economist Nancy Stokey shows how the tools of stochastic control can be applied to dynamic problems of decision making under uncertainty when fixed costs are present. Stokey provides a self-contained, rigorous, and clear treatment of two types of models, impulse and instantaneous control. She presents the relevant results about Brownian motion and other diffusion processes, develops methods for analyzing each type of problem, and discusses applications to price setting, investment, and durable goods purchases."--Pub. desc.
Applied Stochastic Models And Control For Finance And Insurance
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Author : Charles S. Tapiero
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applied Stochastic Models And Control For Finance And Insurance written by Charles S. Tapiero and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Business & Economics categories.
Applied Stochastic Models and Control for Finance and Insurance presents at an introductory level some essential stochastic models applied in economics, finance and insurance. Markov chains, random walks, stochastic differential equations and other stochastic processes are used throughout the book and systematically applied to economic and financial applications. In addition, a dynamic programming framework is used to deal with some basic optimization problems. The book begins by introducing problems of economics, finance and insurance which involve time, uncertainty and risk. A number of cases are treated in detail, spanning risk management, volatility, memory, the time structure of preferences, interest rates and yields, etc. The second and third chapters provide an introduction to stochastic models and their application. Stochastic differential equations and stochastic calculus are presented in an intuitive manner, and numerous applications and exercises are used to facilitate their understanding and their use in Chapter 3. A number of other processes which are increasingly used in finance and insurance are introduced in Chapter 4. In the fifth chapter, ARCH and GARCH models are presented and their application to modeling volatility is emphasized. An outline of decision-making procedures is presented in Chapter 6. Furthermore, we also introduce the essentials of stochastic dynamic programming and control, and provide first steps for the student who seeks to apply these techniques. Finally, in Chapter 7, numerical techniques and approximations to stochastic processes are examined. This book can be used in business, economics, financial engineering and decision sciences schools for second year Master's students, as well as in a number of courses widely given in departments of statistics, systems and decision sciences.
Optimization In Economics And Finance
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Author : Bruce D. Craven
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-10-24
Optimization In Economics And Finance written by Bruce D. Craven and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-24 with Business & Economics categories.
Some recent developments in the mathematics of optimization, including the concepts of invexity and quasimax, have not yet been applied to models of economic growth, and to finance and investment. Their applications to these areas are shown in this book.
Stochastic Economic Dynamics
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Author : Bjarne S. Jensen
language : en
Publisher: Copenhagen Business School Press DK
Release Date : 2007
Stochastic Economic Dynamics written by Bjarne S. Jensen and has been published by Copenhagen Business School Press DK this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Business & Economics categories.
This book analyzes stochastic dynamic systems across a broad spectrum in economics and finance. The major unifying theme is the coherent and rigorous treatment of uncertainty and its implications for describing stochastic processes by the stochastic differential equations of the fundamental models in various fields. Pertinent subjects are interrelated, juxtaposed, and examined for consistency in theoretical and empirical contexts. The volume consists of three parts: Developments in Stochastic Dynamics; Stochastic Dynamics in Basic Economic Growth Models; and Intertemporal Optimization in Consumption, Finance, and Growth. Key topics include: fractional Brownian motion in finance; moment evolution of Gaussian and geometric Wiener diffusions; stochastic kinematics and stochastic mechanics; stochastic growth in continuous time; time delays and Hopf bifurcation; consumption and investment strategies; differential systems in finance and life insurance; uncertainty of technological innovations; investment and employment cycles; stochastic control theory; and risk aversion. The works collected in this book serves to bridge the "old" deterministic dynamics and the "new" stochastic dynamics. The collection is important for scholars and advanced graduate students of economics, statistics, and applied mathematics.
Optimization In Economics And Finance
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Author : Bruce Desmond Craven
language : en
Publisher:
Release Date : 2007
Optimization In Economics And Finance written by Bruce Desmond Craven and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Econometric models categories.
Many optimization questions arise in economics and finance; an important example of this is the society's choice of the optimum state of the economy (the social choice problem). This book the usual optimization techniques, in a form that may be adopted for modeling social choice problems. Problems discussed include: when is an optimum reached; when is it unique; relaxation of the conventional convex (or concave) assumptions on an economic model; associated mathematical concepts such as invex and quasimax; multiobjective optimal control models; and related computational methods and programs. These techniques are applied to economic growth models (including small stochastic perturbations), finance and financial investment models (and the interaction between financial and production variables), modeling sustainability over long time horizons, boundary (transversality) conditions, and models with several conflicting objectives. Although the applications are general and illustrative, the models in this book provide examples of possible models for a society's social choice for an allocation that maximizes welfare and utilization of resources. As well as using existing computer programs for optimization of models, a new computer program, named SCOM, is presented in this book for computing social choice models by optimal control.
Stochastic Control For Economic Models
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Author : David A. Kendrick
language : en
Publisher: McGraw-Hill Companies
Release Date : 1981
Stochastic Control For Economic Models written by David A. Kendrick and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Business & Economics categories.
Stochastic Modeling In Economics And Finance
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Author : Jitka Dupacova
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-08-31
Stochastic Modeling In Economics And Finance written by Jitka Dupacova and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-08-31 with Business & Economics categories.
Unlike other books that focus only on selected specific subjects this book provides both a broad and rich cross-section of contemporary approaches to stochastic modeling in finance and economics; it is decision making oriented. The material ranges from common tools to solutions of sophisticated system problems and applications. In Part I, the fundamentals of financial thinking and elementary mathematical methods of finance are presented. The method of presentation is simple enough to bridge the elements of financial arithmetic and complex models of financial math developed in the later parts. It covers characteristics of cash flows, yield curves, and valuation of securities. Part II is devoted to the allocation of funds and risk management: classics (Markowitz theory of portfolio), capital asset pricing model, arbitrage pricing theory, asset & liability management, value at risk. The method explanation takes into account the computational aspects. Part III explains modeling aspects of multistage stochastic programming on a relatively accessible level. It includes a survey of existing software, links to parametric, multiobjective and dynamic programming, and to probability and statistics. It focuses on scenario-based problems with the problems of scenario generation and output analysis discussed in detail and illustrated within a case study. Selected examples of successful applications in finance, production planning and management of technological processes and electricity generation are presented. Throughout, the emphasis is on the appropriate use of the techniques, rather than on the underlying mathematical proofs and theories. In Part IV, the sections devoted to stochastic calculus cover also more advanced topics such as DDS Theorem or extremal martingale measures, which make it possible to treat more delicate models in Mathematical Finance (complete markets, optimal control, etc.) Audience: Students and researchers in probability and statistics, econometrics, operations research and various fields of finance, economics, engineering, and insurance.