Differential Games in Economics and Management Science

Differential Games in Economics and Management Science
Author: Engelbert Dockner
Publisher: Cambridge University Press
Total Pages: 398
Release: 2000-11-16
Genre: Business & Economics
ISBN: 9780521637329

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.

Differential Games in Industrial Economics

Differential Games in Industrial Economics
Author: Luca Lambertini
Publisher: Cambridge University Press
Total Pages: 275
Release: 2018-04-26
Genre: Business & Economics
ISBN: 1316732630

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.

Dynamic Optimization, Second Edition

Dynamic Optimization, Second Edition
Author: Morton I. Kamien
Publisher: Courier Corporation
Total Pages: 402
Release: 2013-04-17
Genre: Mathematics
ISBN: 0486310280

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.

Dynamic Optimization and Differential Games

Dynamic Optimization and Differential Games
Author: Terry L. Friesz
Publisher: Springer Science & Business Media
Total Pages: 509
Release: 2010-08-20
Genre: Business & Economics
ISBN: 0387727787

This book has been written to address the increasing number of Operations Research and Management Science problems (that is, applications) that involve the explicit consideration of time and of gaming among multiple agents. It is a book that will be used both as a textbook and as a reference and guide by those whose work involves the theoretical aspects of dynamic optimization and differential games.

A Survey Of Dynamic Games In Economics

A Survey Of Dynamic Games In Economics
Author: Ngo Van Long
Publisher: World Scientific
Total Pages: 290
Release: 2010-09-23
Genre: Mathematics
ISBN: 981446595X

This book provides readers with a comprehensive survey of models of dynamic games in economics, including an extensive coverage of numerous fields of applications. It will also discuss and explain main concepts and techniques used in dynamic games, and inform readers of its major developments while equipping them with tools and ideas that will aid in the formulation of solutions for problems. A Survey of Dynamic Games in Economics will interest those who wish to study more about the conceptions, approaches and models that are applied in the domain of dynamic games.

LQ Dynamic Optimization and Differential Games

LQ Dynamic Optimization and Differential Games
Author: Jacob Engwerda
Publisher: John Wiley & Sons
Total Pages: 514
Release: 2005-06-17
Genre: Business & Economics
ISBN: 9780470015247

Game theory is the theory of social situations, and the majority of research into the topic focuses on how groups of people interact by developing formulas and algorithms to identify optimal strategies and to predict the outcome of interactions. Only fifty years old, it has already revolutionized economics and finance, and is spreading rapidly to a wide variety of fields. LQ Dynamic Optimization and Differential Games is an assessment of the state of the art in its field and the first modern book on linear-quadratic game theory, one of the most commonly used tools for modelling and analysing strategic decision making problems in economics and management. Linear quadratic dynamic models have a long tradition in economics, operations research and control engineering; and the author begins by describing the one-decision maker LQ dynamic optimization problem before introducing LQ differential games. Covers cooperative and non-cooperative scenarios, and treats the standard information structures (open-loop and feedback). Includes real-life economic examples to illustrate theoretical concepts and results. Presents problem formulations and sound mathematical problem analysis. Includes exercises and solutions, enabling use for self-study or as a course text. Supported by a website featuring solutions to exercises, further examples and computer code for numerical examples. LQ Dynamic Optimization and Differential Games offers a comprehensive introduction to the theory and practice of this extensively used class of economic models, and will appeal to applied mathematicians and econometricians as well as researchers and senior undergraduate/graduate students in economics, mathematics, engineering and management science.

Advances in Dynamic Games

Advances in Dynamic Games
Author: Pierre Cardaliaguet
Publisher: Springer Science & Business Media
Total Pages: 421
Release: 2012-09-13
Genre: Mathematics
ISBN: 0817683550

This book focuses on various aspects of dynamic game theory, presenting state-of-the-art research and serving as a testament to the vitality and growth of the field of dynamic games and their applications. Its contributions, written by experts in their respective disciplines, are outgrowths of presentations originally given at the 14th International Symposium of Dynamic Games and Applications held in Banff. Advances in Dynamic Games covers a variety of topics, ranging from evolutionary games, theoretical developments in game theory and algorithmic methods to applications, examples, and analysis in fields as varied as mathematical biology, environmental management, finance and economics, engineering, guidance and control, and social interaction. Featured throughout are valuable tools and resources for researchers, practitioners, and graduate students interested in dynamic games and their applications to mathematics, engineering, economics, and management science.​

Dynamic Games in Economics

Dynamic Games in Economics
Author: Josef Haunschmied
Publisher: Springer
Total Pages: 321
Release: 2014-07-08
Genre: Mathematics
ISBN: 3642542484

Dynamic game theory serves the purpose of including strategic interaction in decision making and is therefore often applied to economic problems. This book presents the state-of-the-art and directions for future research in dynamic game theory related to economics. It was initiated by contributors to the 12th Viennese Workshop on Optimal Control, Dynamic Games and Nonlinear Dynamics and combines a selection of papers from the workshop with invited papers of high quality.

Dynamic Games: Theory and Applications

Dynamic Games: Theory and Applications
Author: Alain Haurie
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2005-05-06
Genre: Business & Economics
ISBN: 9780387246017

Dynamic games continue to attract strong interest from researchers interested in modelling competitive as well as conflict situations exhibiting an intertemporel aspect. Applications of dynamic games have proven to be a suitable methodology to study the behaviour of players (decision-makers) and to predict the outcome of such situations in many areas including engineering, economics, management science, military, biology and political science. Dynamic Games: Theory and Applications collects thirteen articles written by established researchers. It is an excellent reference for researchers and graduate students covering a wide range of emerging and revisited problems in both cooperative and non-cooperative games in different areas of applications, especially in economics and management science.

Games And Dynamic Games

Games And Dynamic Games
Author: Alain Haurie
Publisher: World Scientific Publishing Company
Total Pages: 488
Release: 2012-03-23
Genre: Mathematics
ISBN: 981440134X

Dynamic games arise between players (individuals, firms, countries, animals, etc.) when the strategic interactions among them recur over time and decisions made during one period affect both current and future payoffs. Dynamic games provide conceptually rich paradigms and tools to deal with these situations.This volume provides a uniform approach to game theory and illustrates it with present-day applications to economics and management, including environmental, with the emphasis on dynamic games.At the end of each chapter a case study called game engineering (GE) is provided, to help readers understand how problems of high social priority, such as environmental negotiations, exploitation of common resources, can be modeled as games and how solutions can be engineered.