Optimal Control Expectations And Uncertainty
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Optimal Control Expectations And Uncertainty
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Author : Sean Holly
language : en
Publisher: Cambridge University Press
Release Date : 1989-07-20
Optimal Control Expectations And Uncertainty written by Sean Holly and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-07-20 with Business & Economics categories.
An examination of how the rational expectations revolution and game theory have enhanced the understanding of how an economy functions.
Coping With Uncertainty
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Author : Kurt Marti
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-24
Coping With Uncertainty written by Kurt Marti 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 2009-12-24 with Business & Economics categories.
Support for addressing the on-going global changes needs solutions for new scientific problems which in turn require new concepts and tools. A key issue concerns a vast variety of irreducible uncertainties, including extreme events of high multidimensional consequences, e.g., the climate change. The dilemma is concerned with enormous costs versus massive uncertainties of extreme impacts. Traditional scientific approaches rely on real observations and experiments. Yet no sufficient observations exist for new problems, and "pure" experiments, and learning by doing may be expensive, dangerous, or impossible. In addition, the available historical observations are often contaminated by past actions, and policies. Thus, tools are presented for the explicit treatment of uncertainties using "synthetic" information composed of available "hard" data from historical observations, the results of possible experiments, and scientific facts, as well as "soft" data from experts' opinions, and scenarios.
Foundations Of Probability Theory
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Author : Himadri Deshpande
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Foundations Of Probability Theory written by Himadri Deshpande and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Foundations of Probability Theory" offers a thorough exploration of probability theory's principles, methods, and applications. Designed for students, researchers, and practitioners, this comprehensive guide covers both foundational concepts and advanced topics. We begin with basic probability concepts, including sample spaces, events, probability distributions, and random variables, progressing to advanced topics like conditional probability, Bayes' theorem, and stochastic processes. This approach lays a solid foundation for further exploration. Our book balances theory and application, emphasizing practical applications and real-world examples. We cover topics such as statistical inference, estimation, hypothesis testing, Bayesian inference, Markov chains, Monte Carlo methods, and more. Each topic includes clear explanations, illustrative examples, and exercises to reinforce learning. Whether you're a student building a solid understanding of probability theory, a researcher exploring advanced topics, or a practitioner applying probabilistic methods to solve real-world problems, this book is an invaluable resource. We equip readers with the knowledge and tools necessary to tackle complex problems, make informed decisions, and explore probability theory's rich landscape with confidence.
Global Environmental Economics
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Author : H.W. Gottinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Global Environmental Economics written by H.W. Gottinger 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.
7. 2 Cumulative Pollutants and the Rate of Economic Growth 217 7. 3 Economic Growth in an Unregulated Economy 223 7. 4 Economic Growth in a Degrading Economy 231 7. 5 Economic Growth in the Spaceship Economy 237 7. 6 Dynamic Equilibrium in the Spaceship Economy 248 7. 7 An Evaluation of the Model and some Conclusions 254 7. 8 Some Long-Term Implications of the Model 256 References 258 Chapter 8: Optimal Economic Growth when CO Constraints are Critical 2 8. 1 Introduction 259 8. 2 Formulation of the Problem 260 8. 3 Derivation of the Necessary Conditions 264 8. 4 Analysis of the Necessary Conditions 265 8. 5 Conclusion 277 References 279 Chapter 9: Uncertainty. Value of Information and Greenhouse Gas Emissions 9. 1 Introduction 280 9. 2 An Illustrative Example - Evaluating a Climate Research and Monitoring Programme 282 293 9. 3 The Value of Information in a Stochastic Dynamic Programme 301 9. 4 Optimal Policies in a Stochastic Dynamic Programme 307 9. 5 Resource Costs and Critical Probabilities 9. 6 Conclusions 314 317 References 319 Epilogue 325 Index viii Preface The movement of carbon from sources to final disposition is known as the carbon cycle. The largest reservoir of carbon is in carbonate sediments such as limestone and chalk. Other significant but less stable reservoirs include fossil fuels, living and dead plants and animals, carbonates and bicarbonates dissolved in the ocean.
Optimization Under Stochastic Uncertainty
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Author : Kurt Marti
language : en
Publisher: Springer Nature
Release Date : 2020-11-10
Optimization Under Stochastic Uncertainty written by Kurt Marti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-10 with Business & Economics categories.
This book examines application and methods to incorporating stochastic parameter variations into the optimization process to decrease expense in corrective measures. Basic types of deterministic substitute problems occurring mostly in practice involve i) minimization of the expected primary costs subject to expected recourse cost constraints (reliability constraints) and remaining deterministic constraints, e.g. box constraints, as well as ii) minimization of the expected total costs (costs of construction, design, recourse costs, etc.) subject to the remaining deterministic constraints. After an introduction into the theory of dynamic control systems with random parameters, the major control laws are described, as open-loop control, closed-loop, feedback control and open-loop feedback control, used for iterative construction of feedback controls. For approximate solution of optimization and control problems with random parameters and involving expected cost/loss-type objective, constraint functions, Taylor expansion procedures, and Homotopy methods are considered, Examples and applications to stochastic optimization of regulators are given. Moreover, for reliability-based analysis and optimal design problems, corresponding optimization-based limit state functions are constructed. Because of the complexity of concrete optimization/control problems and their lack of the mathematical regularity as required of Mathematical Programming (MP) techniques, other optimization techniques, like random search methods (RSM) became increasingly important. Basic results on the convergence and convergence rates of random search methods are presented. Moreover, for the improvement of the – sometimes very low – convergence rate of RSM, search methods based on optimal stochastic decision processes are presented. In order to improve the convergence behavior of RSM, the random search procedure is embedded into a stochastic decision process for an optimal control of the probability distributions of the search variates (mutation random variables).
Mine Planning And Equipment Selection 1995
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Author : J. Hadjigeorgiou
language : en
Publisher: CRC Press
Release Date : 1995-10-31
Mine Planning And Equipment Selection 1995 written by J. Hadjigeorgiou and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-10-31 with Technology & Engineering categories.
This text presents about 150 papers based on an international symposium on mine planning and equipment selection, held in Canada in 1995. Coverage includes: design and planning of surface and underground mines; surface mining and the environment; tailings disposal; and slope stability analysis.
Nonlinear Expectations And Stochastic Calculus Under Uncertainty
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Author : Shige Peng
language : en
Publisher: Springer Nature
Release Date : 2019-09-09
Nonlinear Expectations And Stochastic Calculus Under Uncertainty written by Shige Peng and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-09 with Mathematics categories.
This book is focused on the recent developments on problems of probability model uncertainty by using the notion of nonlinear expectations and, in particular, sublinear expectations. It provides a gentle coverage of the theory of nonlinear expectations and related stochastic analysis. Many notions and results, for example, G-normal distribution, G-Brownian motion, G-Martingale representation theorem, and related stochastic calculus are first introduced or obtained by the author. This book is based on Shige Peng’s lecture notes for a series of lectures given at summer schools and universities worldwide. It starts with basic definitions of nonlinear expectations and their relation to coherent measures of risk, law of large numbers and central limit theorems under nonlinear expectations, and develops into stochastic integral and stochastic calculus under G-expectations. It ends with recent research topic on G-Martingale representation theorem and G-stochastic integral for locally integrable processes. With exercises to practice at the end of each chapter, this book can be used as a graduate textbook for students in probability theory and mathematical finance. Each chapter also concludes with a section Notes and Comments, which gives history and further references on the material covered in that chapter. Researchers and graduate students interested in probability theory and mathematical finance will find this book very useful.
Analyses In Macroeconomic Modelling
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Author : Andrew J. Hughes Hallett
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analyses In Macroeconomic Modelling written by Andrew J. Hughes Hallett 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.
Macroeconomic Modelling has undergone radical changes in the last few years. There has been considerable innovation in developing robust solution techniques for the new breed of increasingly complex models. Similarly there has been a growing consensus on their long run and dynamic properties, as well as much development on existing themes such as modelling expectations and policy rules. This edited volume focuses on those areas which have undergone the most significant and imaginative developments and brings together the very best of modelling practice. We include specific sections on (I) Solving Large Macroeconomic Models, (II) Rational Expectations and Learning Approaches, (III) Macro Dynamics, and (IV) Long Run and Closures. All of the contributions offer new research whilst putting their developments firmly in context and as such will influence much future research in the area. It will be an invaluable text for those in policy institutions as well as academics and advanced students in the fields of economics, mathematics, business and government. Our contributors include those working in central banks, the IMF, European Commission and established academics.
Rules Reputation And Macroeconomic Policy Coordination
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Author : David A. Currie
language : en
Publisher: Cambridge University Press
Release Date : 1993-08-12
Rules Reputation And Macroeconomic Policy Coordination written by David A. Currie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-12 with Business & Economics categories.
In this book David Currie and Paul Levine address a broad range of issues concerning the design and conduct of macroeconomic policy in open economies. Adopting neo-Keynesian models for which monetary and fiscal policy have short-term real effects, they analyse active stabilisation policies in both a single- and multi-country context. Questions addressed include: the merits of simple policy rules, policy design in the face of uncertainty and international policy coordination. A central feature of the book is the treatment of credibility and the effect of a policy-maker's reputation for sticking to announced policies. These considerations are integrated with coordination issues to produce a unique synthesis. The volume develops optimal control methods and dynamic game theory to handle relationships between governments and a conscious rational private sector and produces a unified, coherent approach to the subject. This book will be of interest to students and teachers of open economy macroeconomics and to professional economists interested in using macroeconomic models to design policy.
Economic Analysis In Talmudic Literature
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Author : Barry Gordon
language : en
Publisher: BRILL
Release Date : 2022-07-04
Economic Analysis In Talmudic Literature written by Barry Gordon and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-04 with Religion categories.
This lucidly written study is unique in that there is no book extant by an economic historian that discusses Talmudic economics in the light of modern economics. Its major focus is on the intricate debates, statements and principles that were forged by the Talmudic Rabbis. This ancient storehouse of learning includes a wealth of economic knowledge of modern sophistication. The book taps these "economic treasures" by way of analytic inquiry. The authors, both economic historians and economists, through their study of the original dialectics in the Talmud, were able to discern a wide range of macro- and micro-economic ideas of major significance. These concepts when viewed from either a contemporary or a modern perspective, display an extraordinary degree of insight and sophistication. Indeed, sections of the Talmud and the reflections of subsequent commentators on those passages, embody a wealth of economic thought that was later to become significant in the reasoning of political economists, or of their professional academic successors.