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Author: Suresh P. Sethi
Publisher: Springer
ISBN: 3319982370
Category : Business & Economics
Languages : en
Pages : 577
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Book Description
This fully revised 3rd edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It brings to students the concept of the maximum principle in continuous, as well as discrete, time by using dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations faced in business and economics. The book exploits optimal control theory to the functional areas of management including finance, production and marketing and to economics of growth and of natural resources. In addition, this new edition features materials on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. The book provides exercises for each chapter and answers to selected exercises to help deepen the understanding of the material presented. Also included are appendices comprised of supplementary material on the solution of differential equations, the calculus of variations and its relationships to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the author has applied to business management problems developed from his research and classroom instruction. The new edition has been completely refined and brought up to date. Ultimately this should continue to be a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers concerned with the application of dynamic optimization in their fields.
Author: Suresh P. Sethi
Publisher: Springer
ISBN: 3319982370
Category : Business & Economics
Languages : en
Pages : 577
Get Book Here
Book Description
This fully revised 3rd edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It brings to students the concept of the maximum principle in continuous, as well as discrete, time by using dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations faced in business and economics. The book exploits optimal control theory to the functional areas of management including finance, production and marketing and to economics of growth and of natural resources. In addition, this new edition features materials on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. The book provides exercises for each chapter and answers to selected exercises to help deepen the understanding of the material presented. Also included are appendices comprised of supplementary material on the solution of differential equations, the calculus of variations and its relationships to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the author has applied to business management problems developed from his research and classroom instruction. The new edition has been completely refined and brought up to date. Ultimately this should continue to be a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers concerned with the application of dynamic optimization in their fields.
Author: Gary M. Erickson
Publisher: Springer Science & Business Media
ISBN: 9401713146
Category : Business & Economics
Languages : en
Pages : 125
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Book Description
For years, I have been impressed by how dynamic markets are. Marketing strategies are rarely successful without adjustments over time, and marketing managers need constantly to monitor, and anticipate when possible, important changes in the marketing environment, so that they can adapt their marketing strategies to changing market conditions. It strikes me as important that the dynamic elements of marketing be modeled and studied, and a significant part of my research activity has been dedicated to exploring the nature and implications of dynamic marketing strategies. The marketing field has used various models and methodologies in the attempt to understand dynamic markets. I must thank my dissertation advisor, Dave Montgomery at Stanford, for originally turning my attention toward time-varying parameter models some 14 years ago. From that plat form, I have proceeded to search for models that capture the essence of dynamic marketing, as well as for methodological tools, empirical as well as analytical, that allow insightful study of such models.
Author: Gary Erickson
Publisher: Springer Science & Business Media
ISBN: 9781402072673
Category : Business & Economics
Languages : en
Pages : 164
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Book Description
I am gratified that there is sufficient interest in the subject matter so as to support the offering of a second edition of this monograph. The of differential games dynamic interpretation and game theoretic foundation form a powerful and vital methodology for helping us study and understand marketing competition. This second edition offers a blend of what proved to be successful with the first edition and new material. The first two chapters, reviewing empirical and modeling research, have been updated to include contributions in the last decade that have advanced the area. I have not changed the essential content in the duopoly analyses in chapters 3, 4, and 5. A notable addition to the present edition are the new chapters, 6, 7, and 8, which offer analysis of three triopoly models. In the final chapter, I offer my summary view of the area and hope for continued contributions. I want to express my appreciation for the support of Josh Eliashberg, editor of the International Series in Quantitative Marketing, as well as Zachary Rolnik, Director, and David Cella, Publishing Editor, of Kluwer. Their encouragement has provided crucial motivation in this endeavor.
Author: Steffen Jørgensen
Publisher: Springer Science & Business Media
ISBN: 1441989293
Category : Business & Economics
Languages : en
Pages : 185
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Book Description
Game theory has proven useful to represent and conceptualize problems of conflict and cooperation in a formal way, and to predict the outcome of such situations. Differential games are dynamic games that are particularly designed to study systems where observations and decisions are made in real time. The book conveys to the reader the state of the art of research in marketing applications of differential game theory. This research started about 25 years ago and the literature has now reached an extent and a maturity that makes it natural to take stock. The book deals with differential games in advertising, pricing, and marketing channels, as well as with marketing-production and pricing-advertising interfaces. It provides also a tutorial on main concepts in differential games.
Author: Engelbert Dockner
Publisher: Cambridge University Press
ISBN: 9780521637329
Category : Business & Economics
Languages : en
Pages : 398
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Book Description
A comprehensive, self-contained survey of the theory and applications of differential games, one of the most commonly used tools for modelling and analysing economics and management problems which are characterised by both multiperiod and strategic decision making. Although no prior knowledge of game theory is required, a basic knowledge of linear algebra, ordinary differential equations, mathematical programming and probability theory is necessary. Part One presents the theory of differential games, starting with the basic concepts of game theory and going on to cover control theoretic models, Markovian equilibria with simultaneous play, differential games with hierarchical play, trigger strategy equilibria, differential games with special structures, and stochastic differential games. Part Two offers applications to capital accumulation games, industrial organization and oligopoly games, marketing, resources and environmental economics.
Author: Luca Lambertini
Publisher: Cambridge University Press
ISBN: 1316730700
Category : Business & Economics
Languages : en
Pages : 276
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Book Description
Game theory has revolutionised our understanding of industrial organisation and the traditional theory of the firm. Despite these advances, industrial economists have tended to rely on a restricted set of tools from game theory, focusing on static and repeated games to analyse firm structure and behaviour. Luca Lambertini, a leading expert on the application of differential game theory to economics, argues that many dynamic phenomena in industrial organisation (such as monopoly, oligopoly, advertising, R&D races) can be better understood and analysed through the use of differential games. After illustrating the basic elements of the theory, Lambertini guides the reader through the main models, spanning from optimal control problems describing the behaviour of a monopolist through to oligopoly games in which firms' strategies include prices, quantities and investments. This approach will be of great value to students and researchers in economics and those interested in advanced applications of game theory.
Author: Ilona Murynets
Publisher: World Scientific
ISBN: 9814383260
Category : Business & Economics
Languages : en
Pages : 88
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Book Description
Over the past decade, innovative technologies have resulted in an extensive growth of new services. Each new service requires a number of management and marketing decisions to be made well in advance of its launch and throughout its entire life cycle. This book develops mathematical models to facilitate decision-making dealing with technologically innovative services. Specifically, it develops (i) models for optimal pricing strategies of subscription services on monopolistic and duopolistic markets; (ii) an analytical model for optimal investment and optimal pricing strategies for innovative maintenance service contracts; and (iii) a model for targeting customers in marketing campaigns. In addition, the models (i) (iii) can also be used to forecast an aggregate demand for a new service as well as the service demand for each individual customer.
Author: Dominique M. Hanssens
Publisher: Springer Science & Business Media
ISBN: 9400910738
Category : Business & Economics
Languages : en
Pages : 389
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Book Description
This book reports over a decade's worth of research on the development of empirical response models that have important uses for generating marketing knowledge and improving marketing decisions. Some of its contributions to marketing are the following: 1. It integrates state-of-the art technical material with discussions of its relevance to management. 2. It provides continuity to a research stream over 20 years old. 3. It illustrates how marketing generalizations are the basis of marketing theory and marketing knowledge. 4. It shows how the research can be applied to marketing planning and forecasting. 5. It presents original research in marketing. The book addresses both marketing researchers and marketing managers. This can be done because empirical decision models are helpful in practice and are also based on theories of response. Econometric and time series analysis (ETS) is one of the few areas in marketing where there is little, if any, conflict between the academic sphere and the world of professional practice. Market Response Models is a sequel to Marketing Models and Econometric Research, published in 1976. It is rare for a research-oriented book in market ing to be updated or to have a sequel. Unlike many other methodologies, ETS research in marketing has stood the test of time. It remains the main method for discovering relations among marketing variables.
Author: Amit Kumar
Publisher: CRC Press
ISBN: 1000566196
Category : Technology & Engineering
Languages : en
Pages : 191
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Book Description
This era of science and engineering has attracted researchers tasked with evaluating performance and optimization of problems in the field of operations research. The book covers mathematical analysis, methods and applications involving processes such as system performance, optimization, inventory theory, reliability theory, and queueing theory. Operations Research: Methods, Techniques, and Advancements explores recent and innovative methods and advancements associated with the mathematical theory of operations research. It offers a detailed overview of mathematical modelling for general industrial systems and emphasizes the latest ideas for the benefit of society and the research community. Intended for a broad range of readers, this book is useful to academicians, industrialists, researchers, students, academia and specialists from various disciplines and those working in the industry.
Author: S K Neogy
Publisher: World Scientific
ISBN: 9814471240
Category : Mathematics
Languages : en
Pages : 498
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Book Description
This edited book presents recent developments and state-of-the-art review in various areas of mathematical programming and game theory. It is a peer-reviewed research monograph under the ISI Platinum Jubilee Series on Statistical Science and Interdisciplinary Research. This volume provides a panoramic view of theory and the applications of the methods of mathematical programming to problems in statistics, finance, games and electrical networks. It also provides an important as well as timely overview of research trends and focuses on the exciting areas like support vector machines, bilevel programming, interior point method for convex quadratic programming, cooperative games, non-cooperative games and stochastic games. Researchers, professionals and advanced graduates will find the book an essential resource for current work in mathematical programming, game theory and their applications.
