Dynamic Optimization and Differential Games

580,84 €*

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ISBN-13:
9780387727776
Veröffentl:
2010
Erscheinungsdatum:
01.10.2010
Seiten:
502
Autor:
Terry L. Friesz
Gewicht:
894 g
Format:
234x156x29 mm
Serie:
135, International Operations Resea
Sprache:
Englisch
Beschreibung:

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.
Will be of interest to students, researchers, and practitioners of OR/MS, Industrial Engineering, Supply Chain Management, Applied Economics, Transportation, and Economic Geography. These fields are very actively working on the new, high-interest problems that require the strengthening of modeling skills to solve dynamic optimization problems and dynamic games
Nonlinear Programming and Discrete-Time Optimal Control.- Foundations of the Calculus of Variations and Optimal Control.- Infinite Dimensional Mathematical Programming.- Finite Dimensional Variational Inequalities and Nash Equilibria.- Differential Variational Inequalities and Differential Nash Games.- Optimal Economic Growth.- Production Planning, Oligopoly and Supply Chains.- Dynamic User Equilibrium.- Dynamic Pricing and Revenue Management.
Dynamic Optimization and Differential Games has been written to address the increasing number of Operations Research and Management Science problems that involve the explicit consideration of time and of gaming among multiple agents. With end-of-chapter exercises throughout, it is a book that can be used both as a reference and as a textbook. It will be useful as a guide to engineers, operations researchers, applied mathematicians and social scientists whose work involves both the theoretical and computational aspects of dynamic optimization and differential games. Included throughout the text are detailed explanations of several original dynamic and game-theoretic mathematical models which are of particular relevance in today's technologically-driven-global economy: revenue management, oligopoly pricing, production planning, supply chain management, dynamic traffic assignment and dynamic congestion pricing.

The book emphasizes deterministic theory, computational tools and applications associated with the study of dynamic optimization and competition in continuous time. It develops the key results of deterministic, continuous time, optimal control theory from both the classical calculus of variations perspective and the more modern approach of infinite dimensional mathematical programming. These results are then generalized for the analysis of differential variational inequalities arising in dynamic game theory for open loop environments. Algorithms covered include steepest descent in Hilbert space, gradient projection in Hilbert space, fixed point methods, and gap function methods.

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