Dynamic Optimization and Mathematical Economics

Dynamic Optimization and Mathematical Economics PDF Author: Pan-Tai Liu
Publisher: Springer Science & Business Media
ISBN: 1468435728
Category : Science
Languages : en
Pages : 273

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Book Description
As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

Dynamic Optimization and Mathematical Economics

Dynamic Optimization and Mathematical Economics PDF Author: Pan-Tai Liu
Publisher: Springer Science & Business Media
ISBN: 1468435728
Category : Science
Languages : en
Pages : 273

Get Book Here

Book Description
As an outgrowth of the advancement in modern control theory during the past 20 years, dynamic modeling and analysis of economic systems has become an important subject in the study of economic theory. Recent developments in dynamic utility, economic planning, and profit optimiza tion, for example, have been greatly influenced by results in optimal control, stabilization, estimation, optimization under conflicts, multi criteria optimization, control of large-scale systems, etc. The great success that has been achieved so far in utilizing modern control theory in economic systems should be attributed to the effort of control theorists as well as economists. Collaboration between the two groups of researchers has proven to be most successful in many instances; nevertheless, the gap between them has existed for some time. Whereas a control theorist frequently sets up a mathematically feasible model to obtain results that permit economic interpretations, an economist is concerned more with the fidelity of the model in representing a real world problem, and results that are obtained (through possibly less mathematical analysis) are due largely to economic insight. The papers appearing in this volume are divided into three parts. In Part I there are five papers on the application of control theory to economic planning. Part II contains five papers on exploration, exploita tion, and pricing of extractive natural resources. Finally, in Part III, some recent advances in large-scale systems and decentralized control appear.

Dynamic Models of Advertising Competition

Dynamic Models of Advertising Competition PDF 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.

Dynamic Models of Advertising Competition

Dynamic Models of Advertising Competition PDF 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.

Stochastic Partial Differential Equations and Applications - VII

Stochastic Partial Differential Equations and Applications - VII PDF Author: Giuseppe Da Prato
Publisher: CRC Press
ISBN: 1420028723
Category : Mathematics
Languages : en
Pages : 360

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Book Description
Stochastic Partial Differential Equations and Applications gives an overview of current state-of-the-art stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. Featuring contributions from leading expert participants at an international conference on the subject, this boo

Dynamic Competitive Analysis in Marketing

Dynamic Competitive Analysis in Marketing PDF Author: Steffen Jorgensen
Publisher: Springer Science & Business Media
ISBN: 3642457533
Category : Business & Economics
Languages : en
Pages : 296

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Book Description
This volume contains a selection of papers that were presented at the International Workshop on Dynamic Competitive Analysis, held in Montr6al, Canada, September 1-2, 1995. The workshop was organized by the editors of the proceedings volume. The proceedings contain both "full papers" and shorter pieces, to be considered as "work in progress". The choice of a rather broad theme for the workshop was deliberate and done in order to attract researchers from different areas of the marketing science community that usually do not get together. Obviously, a volume like this cannot be exhaustive in the coverage of the dynamics of marketing competition but we are confident that it will convey to the reader an impression of what are the current themes in this field of research. The book should be useful to researchers in marketing science, applied game theorists, graduate students, as well as practitioners in marketing with an interest in methods and examples of dynamic competitive analysis.

Differential Games in Industrial Economics

Differential Games in Industrial Economics PDF 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.

Subgame Consistent Economic Optimization

Subgame Consistent Economic Optimization PDF Author: David W.K. Yeung
Publisher: Springer Science & Business Media
ISBN: 0817682619
Category : Mathematics
Languages : en
Pages : 403

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Book Description
Various imperfections in existing market systems prevent the free market from serving as a truly efficient allocation mechanism, but optimization of economic activities provides an effective remedial measure. Cooperative optimization claims that socially optimal and individually rational solutions to decision problems involving strategic action over time exist. To ensure that cooperation will last throughout the agreement period, however, the stringent condition of subgame consistency is required. This textbook presents a study of subgame consistent economic optimization, developing game-theoretic optimization techniques to establish the foundation for an effective policy menu to tackle the suboptimal behavior that the conventional market mechanism fails to resolve.

Mathematical Programming and Game Theory for Decision Making

Mathematical Programming and Game Theory for Decision Making PDF Author: S. K. Neogy
Publisher: World Scientific
ISBN: 9812813225
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. Sample Chapter(s). Foreword (45 KB). Chapter 1: Mathematical Programming and its Applications in Finance (177 KB). Contents: Mathematical Programming and Its Applications in Finance (L C Thomas); Anti-Stalling Pivot Rule for Linear Programs with Totally Unimodular Coefficient Matrix (S N Kabadi & A P Punnen); A New Practically Efficient Interior Point Method for Convex Quadratic Programming (K G Murty); A General Framework for the Analysis of Sets of Constraints (R Caron & T Traynor), Tolerance-Based Algorithms for the Traveling Salesman Problem (D Ghosh et al.); On the Membership Problem of the Pedigree Polytope (T S Arthanari); Exact Algorithms for a One-Defective Vertex Colouring Problem (N Achuthan et al.); Complementarity Problem Involving a Vertical Block Matrix and Its Solution Using Neural Network Model (S K Neogy et al.); Fuzzy Twin Support Vector Machines for Pattern Classification (R Khemchandani et al.); An Overview of the Minimum Sum of Absolute Errors Regression (S C Narula & J F Wellington); Hedging Against the Market with No Short Selling (S A Clark & C Srinivasan); Mathematical Programming and Electrical Network Analysis II: Computational Linear Algebra Through Network Analysis (H Narayanan); Dynamic Optimal Control Policy in Price and Quality for High Technology Product (A K Bardhan & U Chanda); Forecasting for Supply Chain and Portfolio Management (K G Murty); Variational Analysis in Bilevel Programming (S Dempe et al.); Game Engineering (R J Aumann); Games of Connectivity (P Dubey & R Garg); A Robust Feedback Nash Equilibrium in a Climate Change Policy Game (M Hennlock); De Facto Delegation and Proposer Rules (H Imai & K Yonezaki); The Bargaining Set in Effectivity Function (D Razafimahatolotra); Dynamic Oligopoly as a Mixed Large Game OCo Toy Market (A Wiszniewska-Matyszkiel); On Some Classes of Balanced Games (R B Bapat); Market Equilibrium for Combinatorial Auctions and the Matching Core of Nonnegative TU Games (S Lahiri); Continuity, Manifolds, and Arrow''s Social Choice Problem (K Saukkonen); On a Mixture Class of Stochastic Games with Ordered Field Property (S K Neogy). Readership: Researchers, professionals and advanced students in mathematical programming, game theory, management sciences and computational mathematics.

Modeling, Computation And Optimization

Modeling, Computation And Optimization PDF Author: S K Neogy
Publisher: World Scientific
ISBN: 9814467898
Category : Mathematics
Languages : en
Pages : 348

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Book Description
This volume provides recent developments and a state-of-the-art review in various areas of mathematical modeling, computation and optimization. It contains theory, computation as well as the applications of several mathematical models to problems in statistics, games, optimization and economics for decision making. It focuses on exciting areas like models for wireless networks, models of Nash networks, dynamic models of advertising, application of reliability models in economics, support vector machines, optimization, complementarity modeling and games.

Dynamic Optimization, Second Edition

Dynamic Optimization, Second Edition PDF Author: Morton I. Kamien
Publisher: Courier Corporation
ISBN: 0486310280
Category : Mathematics
Languages : en
Pages : 402

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Book Description
Since its initial publication, this text has defined courses in dynamic optimization taught to economics and management science students. The two-part treatment covers the calculus of variations and optimal control. 1998 edition.