Download or read book Turnpike Phenomenon and Symmetric Optimization Problems written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2022-04-11 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few.

Download or read book Turnpike Phenomenon and Symmetric Optimization Problems written by Alexander J. Zaslavski and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Origins written by Karl H. Pribram and published by Routledge. This book was released on 2018-10-24 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: The result of the second Appalachian conference on neurodynamics, this volume focuses on the problem of "order," its origins, evolution, and future. Central to this concern lies our understanding of time. Both classical and quantum physics have developed their conceptions within a framework of time symmetry. Divided into four major sections, this book: * provides refreshingly new approaches to the problem of the evolution of order, indicating the directions that need to be taken in subsequent conferences which will address learning and memory more directly; * addresses the issue of how information becomes transmitted in the nervous system; * shows how patterns are constructed at the synaptodendritic level of processing and how such pattern construction relates to image processing; and * deals with the control operations which operate on image processing to construct entities such as visual and auditory objects such as phonemes. The aim of the conference was to bring together professionals to exchange ideas -- some were fairly worked out; others were in their infancy. As a result, one of the most valuable aspects of the conference is that it fostered lasting interactive relationships among these leading researchers.

Download or read book Turnpike Phenomenon and Infinite Horizon Optimal Control written by Alexander J. Zaslavski and published by Springer. This book was released on 2014-09-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value integrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven. This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable.

Download or read book Turnpike Properties in the Calculus of Variations and Optimal Control written by Alexander J. Zaslavski and published by Springer Science & Business Media. This book was released on 2006-01-27 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the recent progress on the turnpike theory. The turnpike property was discovered by Paul A. Samuelson, who applied it to problems in mathematical economics in 1949. These properties were studied for optimal trajectories of models of economic dynamics determined by convex processes. In this monograph the author, a leading expert in modern turnpike theory, presents a number of results concerning the turnpike properties in the calculus of variations and optimal control which were obtained in the last ten years. These results show that the turnpike properties form a general phenomenon which holds for various classes of variational problems and optimal control problems. The book should help to correct the misapprehension that turnpike properties are only special features of some narrow classes of convex problems of mathematical economics. Audience This book is intended for mathematicians interested in optimal control, calculus of variations, game theory and mathematical economics.

Download or read book Optimal Control Theory with Applications in Economics written by Thomas A. Weber and published by MIT Press. This book was released on 2011-09-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the backbone of the theory developed in the book, and chapter 2 offers a detailed review of basic concepts in the theory of ODEs, including the solution of systems of linear ODEs, state-space analysis, potential functions, and stability analysis. Following this, the book covers the main results of optimal control theory, in particular necessary and sufficient optimality conditions; game theory, with an emphasis on differential games; and the application of control-theoretic concepts to the design of economic mechanisms. Appendixes provide a mathematical review and full solutions to all end-of-chapter problems. The material is presented at three levels: single-person decision making; games, in which a group of decision makers interact strategically; and mechanism design, which is concerned with a designer's creation of an environment in which players interact to maximize the designer's objective. The book focuses on applications; the problems are an integral part of the text. It is intended for use as a textbook or reference for graduate students, teachers, and researchers interested in applications of control theory beyond its classical use in economic growth. The book will also appeal to readers interested in a modeling approach to certain practical problems involving dynamic continuous-time models.

Download or read book Nonlinear Analysis written by Leszek Gasinski and published by CRC Press. This book was released on 2005-07-27 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.

Download or read book Mean Field Games written by Yves Achdou and published by Springer Nature. This book was released on 2021-01-19 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio. These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.

Download or read book Simulation Modeling and Analysis with ARENA written by Tayfur Altiok and published by Elsevier. This book was released on 2010-07-26 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation Modeling and Analysis with Arena is a highly readable textbook which treats the essentials of the Monte Carlo discrete-event simulation methodology, and does so in the context of a popular Arena simulation environment. It treats simulation modeling as an in-vitro laboratory that facilitates the understanding of complex systems and experimentation with what-if scenarios in order to estimate their performance metrics. The book contains chapters on the simulation modeling methodology and the underpinnings of discrete-event systems, as well as the relevant underlying probability, statistics, stochastic processes, input analysis, model validation and output analysis. All simulation-related concepts are illustrated in numerous Arena examples, encompassing production lines, manufacturing and inventory systems, transportation systems, and computer information systems in networked settings. - Introduces the concept of discrete event Monte Carlo simulation, the most commonly used methodology for modeling and analysis of complex systems - Covers essential workings of the popular animated simulation language, ARENA, including set-up, design parameters, input data, and output analysis, along with a wide variety of sample model applications from production lines to transportation systems - Reviews elements of statistics, probability, and stochastic processes relevant to simulation modeling

Download or read book Introduction to Modern Economic Growth written by Daron Acemoglu and published by Princeton University Press. This book was released on 2008-12-15 with total page 1009 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Nobel Prize–winning economist Daron Acemoglu, an incisive introduction to economic growth Introduction to Modern Economic Growth is a groundbreaking text from one of today's leading economists. Daron Acemoglu gives graduate students not only the tools to analyze growth and related macroeconomic problems, but also the broad perspective needed to apply those tools to the big-picture questions of growth and divergence. And he introduces the economic and mathematical foundations of modern growth theory and macroeconomics in a rigorous but easy to follow manner. After covering the necessary background on dynamic general equilibrium and dynamic optimization, the book presents the basic workhorse models of growth and takes students to the frontier areas of growth theory, including models of human capital, endogenous technological change, technology transfer, international trade, economic development, and political economy. The book integrates these theories with data and shows how theoretical approaches can lead to better perspectives on the fundamental causes of economic growth and the wealth of nations. Innovative and authoritative, this book is likely to shape how economic growth is taught and learned for years to come. Introduces all the foundations for understanding economic growth and dynamic macroeconomic analysis Focuses on the big-picture questions of economic growth Provides mathematical foundations Presents dynamic general equilibrium Covers models such as basic Solow, neoclassical growth, and overlapping generations, as well as models of endogenous technology and international linkages Addresses frontier research areas such as international linkages, international trade, political economy, and economic development and structural change An accompanying Student Solutions Manual containing the answers to selected exercises is available (978-0-691-14163-3/$24.95). See: https://press.princeton.edu/titles/8970.html For Professors only: To access a complete solutions manual online, email us at: [email protected]

Download or read book Optimal Control of Nonlinear Processes written by Dieter Grass and published by Springer Science & Business Media. This book was released on 2008-07-24 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic optimization is rocket science – and more. This volume teaches researchers and students alike to harness the modern theory of dynamic optimization to solve practical problems. These problems not only cover those in space flight, but also in emerging social applications such as the control of drugs, corruption, and terror. This volume is designed to be a lively introduction to the mathematics and a bridge to these hot topics in the economics of crime for current scholars. The authors celebrate Pontryagin’s Maximum Principle – that crowning intellectual achievement of human understanding. The rich theory explored here is complemented by numerical methods available through a companion web site.

Download or read book Nonlinear Programming written by Lorenz T. Biegler and published by SIAM. This book was released on 2010-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses modern nonlinear programming (NLP) concepts and algorithms, especially as they apply to challenging applications in chemical process engineering. The author provides a firm grounding in fundamental NLP properties and algorithms, and relates them to real-world problem classes in process optimization, thus making the material understandable and useful to chemical engineers and experts in mathematical optimization.

Download or read book Infinite Horizon Optimal Control written by Dean A. Carlson and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with various classes of deterministic continuous time optimal control problems wh ich are defined over unbounded time intervala. For these problems, the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts; referred to here as "overtaking", "weakly overtaking", "agreeable plans", etc. ; have been proposed. The motivation for studying these problems arisee primarily from the economic and biological aciences where models of this nature arise quite naturally since no natural bound can be placed on the time horizon when one considers the evolution of the state of a given economy or species. The reeponsibility for the introduction of this interesting class of problems rests with the economiste who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey who, in his seminal work on a theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a "Lagrange problem with unbounded time interval". The advent of modern control theory, particularly the formulation of the famoue Maximum Principle of Pontryagin, has had a considerable impact on the treatment of these models as well as optimization theory in general.

Download or read book Intelligent Road Design written by M. K. Jha and published by WIT Press. This book was released on 2006 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing the intelligent concepts of the ancient endeavour of road design, this book discusses how a road alignment optimization model can be developed and applied in real case studies. Based on research in intelligent road design and alignment optimization, it is suitable for road planners, designers, senior undergraduate and graduate students.

Download or read book Mathematics for Computer Science written by Eric Lehman and published by . This book was released on 2017-03-08 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

Download or read book Reconstructing Macroeconomics written by Lance TAYLOR and published by Harvard University Press. This book was released on 2009-06-30 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Macroeconomics is in disarray. No one approach is dominant, and an increasing divide between theory and empirics is evident. This book presents both a critique of mainstream macroeconomics from a structuralist perspective and an exposition of modern structuralist approaches. The fundamental assumption of structuralism is that it is impossible to understand a macroeconomy without understanding its major institutions and distributive relationships across productive sectors and social groups. Lance Taylor focuses his critique on mainstream monetarist, new classical, new Keynesian, and growth models. He examines them from a historical perspective, tracing monetarism from its eighteenth-century roots and comparing current monetarist and new classical models with those of the post-Wicksellian, pre-Keynesian generation of macroeconomists. He contrasts the new Keynesian vision with Keynes's General Theory, and analyzes contemporary growth theories against long traditions of thought about economic development and structural change. Table of Contents: Acknowledgments Introduction 1. Social Accounts and Social Relations 1. A Simple Social Accounting Matrix 2. Implications of the Accounts 3. Disaggregating Effective Demand 4. A More Realistic SAM 5. Stock-Flow Relationships 6. A SAM and Asset Accounts for the United States 7. Further Thoughts 2. Prices and Distribution 1. Classical Macroeconomics 2. Classical Theories of Price and Distribution 3. Neoclassical Cost-Based Prices 4. Hat Calculus, Measuring Productivity Growth, and Full Employment Equilibrium 5. Mark-up Pricing in the Product Market 6. Efficiency Wages for Labor 7. New Keynesian Crosses and Methodological Reservations 8. First Looks at Inflation 3. Money, Interest, and Inflation 1. Money and Credit 2. Diverse Interest Theories 3. Interest Rate Cost-Push 4. Real Interest Rate Theory 5. The Ramsey Model 6. Dynamics on a Flying Trapeze 7. The Overlapping Generations Growth Model 8. Wicksell's Cumulative Process Inflation Model 9. More on Inflation Taxes 4. Effective Demand and Its Real and Financial Implications 1. The Commodity Market 2. Macro Adjustment via Forced Saving and Real Balance Effects 3. Real Balances, Input Substitution, and Money Wage Cuts 4. Liquidity Preference and Marginal Efficiency of Capital 5. Liquidity Preference, Fisher Arbitrage, and the Liquidity Trap 6. The System as a Whole 7. The IS/LM Model 8. Keynes and Friends on Financial Markets 9. Financial Markets and Investment 10. Consumption and Saving 11 "Disequilibrium" Macroeconomics 12. A Structuralist Synopsis 5. Short-Term Model Closure and Long-Term Growth 1. Model "Closures" in the Short Run 2. Graphical Representations and Supply-Driven Growth 3. Harrod, Robinson, and Related Stories 4. More Stable Demand-Determined Growth 6. Chicago Monetarism, New Classical Macroeconomics, and Mainstream Finance 1. Methodological Caveats 2. A Chicago Monetarist Model 3. A Cleaner Version of Monetarism 4. New Classical Spins 5. Dynamics of Government Debt 6. Ricardian Equivalence 7. The Business Cycle Conundrum 8. Cycles from the Supply Side 9. Optimal Behavior under Risk 10. Random Walk, Equity Premium, and the Modigliani-Miller Theorem 11. More on Modigliani-Miller 12. The Calculation Debate and Super-Rational Economics 7. Effective Demand and the Distributive Curve 1. Initial Observations 2. Inflation, Productivity Growth, and Distribution 3. Absorbing Productivity Growth 4. Effects of Expansionary Policy 5. Financial Extensions 6. Dynamics of the System 7. Comparative Dynamics 8. Open Economy Complications 8. Structuralist Finance and Money 1. Banking History and Institutions 2. Endogenous Finance 3. Endogenous Money via Bank Lending 4. Money Market Funds and the Level of Interest Rates 5. Business Debt and Growth in a Post-Keynesian World 6. New Keynesian Approaches to Financial Markets 9. A Genus of Cycles 1. Goodwin's Model 2. A Structuralist Goodwin Model 3. Evidence for the United States 4. A Contractionary Devaluation Cycle 5. An Inflation Expectations Cycle 6. Confidence and Multiplier 7. Minsky on Financial Cycles 8. Excess Capacity, Corporate Debt Burden, and a Cold Douche 9. Final Thoughts 10. Exchange Rate Complications 1. Accounting Conundrums 2. Determining Exchange Rates 3. Asset Prices, Expectations, and Exchange Rates 4. Commodity Arbitrage and Purchasing Power Parity 5. Portfolio Balance 6. Mundell-Fleming 7. IS/LM Comparative Statics 8. UIP and Dynamics 9. Open Economy Monetarism 10. Dornbusch 11. Other Theories of the Exchange Rate 12. A Developing Country Debt Cycle 13. Fencing in the Beast 11. Growth and Development Theories 1. New Growth Theories and Say's Law 2. Distribution and Growth 3. Models with Binding Resource or Sectoral Supply Constraints 4. Accounting for Growth 5. Other Perspectives 6. The Mainstream Policy Response 7. Where Theory Might Sensibly Go References Index Reconstructing Macroeconomics is a stunning intellectual achievement. It surveys an astonishing range of macroeconomic problems and approaches in a compact, coherent critical framework with unfailing depth, wit, and subtlety. Lance Taylor's pathbreaking work in structural macroeconomics and econometrics sets challenging standards of rigor, realism, and insight for the field. Taylor shows why the structuralist and Keynesian insistence on putting accounting consistency, income distribution, and aggregate demand at the center of macroeconomic analysis is indispensable to understanding real-world macroeconomic events in both developing and developed economies. The book is full of new results, modeling techniques, and shrewd suggestions for further research. Taylor's scrupulous and balanced appraisal of the whole range of macroeconomic schools of thought will be a source of new perspectives to macroeconomists of every persuasion. --Duncan K. Foley, New School University Lance Taylor has produced a masterful and comprehensive critical survey of existing macro models, both mainstream and structuralist, which breaks considerable new ground. The pace is brisk, the level is high, and the writing is entertaining. The author's sense of humor and literary references enliven the discussion of otherwise arcane and technical, but extremely important, issues in macro theory. This book is sure to become a standard reference that future generations of macroeconomists will refer to for decades to come. --Robert Blecker, American University While there are other books dealing with heterodox macroeconomics, this book surpasses them all in the quality of its presentation and in the careful treatment and criticism of orthodox macroeconomics including its recent contributions. The book is unique in the way it systematically covers heterodox growth theory and its relations to other aspects of heterodox macroeconomics using a common organizing framework in terms of accounting relations, and in the way it compares the theories with mainstream contributions. Another positive and novel feature of the book is that it takes a long view of the development of economic ideas, which leads to a more accurate appreciation of the real contributions by recent theoretical developments than is possible in a presentation that ignores the history of macroeconomics. --Amitava Dutt, University of Notre Dame

Download or read book Advances in Dynamic Games written by Andrzej S. Nowak and published by Springer Science & Business Media. This book was released on 2007-12-24 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a guide to the vitality and growth of the field. A valuable reference for researchers and practitioners in dynamic game theory, it covers a broad range of topics and applications, including repeated and stochastic games, differential dynamic games, optimal stopping games, and numerical methods and algorithms for solving dynamic games. The diverse topics included will also benefit researchers and graduate students in applied mathematics, economics, engineering, systems and control, and environmental science.