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Author: Valeriu Ungureanu
Publisher: Springer
ISBN: 3319751514
Category : Technology & Engineering
Languages : en
Pages : 352
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Book Description
This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.
Author: Valeriu Ungureanu
Publisher: Springer
ISBN: 3319751514
Category : Technology & Engineering
Languages : en
Pages : 352
Get Book Here
Book Description
This book presents a comprehensive new, multi-objective and integrative view on traditional game and control theories. Consisting of 15 chapters, it is divided into three parts covering noncooperative games; mixtures of simultaneous and sequential multi-objective games; and multi-agent control of Pareto-Nash-Stackelberg-type games respectively. Can multicriteria optimization, game theory and optimal control be integrated into a unique theory? Are there mathematical models and solution concepts that could constitute the basis of a new paradigm? Is there a common approach and method to solve emerging problems? The book addresses these and other related questions and problems to create the foundation for the Pareto-Nash-Stackelberg Game and Control Theory. It considers a series of simultaneous/Nash and sequential/Stackelberg games, single-criterion and multicriteria/Pareto games, combining Nash and Stackelberg game concepts and Pareto optimization, as well as a range of notions related to system control. In addition, it considers the problems of finding and representing the entire set of solutions. Intended for researches, professors, specialists, and students in the areas of game theory, operational research, applied mathematics, economics, computer science and engineering, it also serves as a textbook for various courses in these fields.
Author: Panos M. Pardalos
Publisher: Springer Science & Business Media
ISBN: 0387772472
Category : Mathematics
Languages : en
Pages : 872
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Book Description
This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.
Author: Source Wikipedia
Publisher: University-Press.org
ISBN: 9781230633237
Category :
Languages : en
Pages : 244
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Book Description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 243. Chapters: Nash equilibrium, Prisoner's dilemma, Pareto efficiency, General equilibrium theory, Rock-paper-scissors, Evolutionarily stable strategy, Tragedy of the commons, The Evolution of Cooperation, Minimax, Bounded rationality, Tragedy of the anticommons, Free rider problem, Compromise, Collusion, Shapley value, Monty Hall problem, Zugzwang, Chicken, Cooperative game, Succinct game, Social dilemma, Mechanism design, Expected utility hypothesis, Ultimatum game, Extensive-form game, Fair division, Stackelberg competition, Social trap, Parrondo's paradox, Justice, Price of anarchy, Auction theory, Martingale, Signaling game, The Bottle Imp, Bayesian game, Common knowledge, Centipede game, Cournot competition, Best response, Inequity aversion, Braess's paradox, Solution concept, Bargaining problem, Coordination game, Dynamic inconsistency, Core, Game semantics, Prisoners and hats puzzle, Simulations and games in economics education, Glossary of game theory, Backward induction, Stable marriage problem, Normal-form game, Topological game, Metagaming, Continuous game, Smart market, Pursuit-evasion, Dictator game, Stable roommates problem, Strategic dominance, Banzhaf power index, Risk dominance, Superrationality, Traveler's dilemma, Vickrey-Clarke-Groves auction, Negotiation theory, Public goods game, Signalling, Chainstore paradox, Stochastic game, Fixed point, Expected value of sample information, Metagame analysis, Evolutionary game theory, Haven, Cheap talk, Grand coalition, Correlated equilibrium, Max Dominated Strategy, List of games in game theory, Social software, Keynesian beauty contest, Stag hunt, Generalized game theory, Sir Philip Sidney game, Competitive altruism, Rational ignorance, Repeated game, Contract theory, Trembling hand perfect equilibrium, Replicator equation, Bertrand competition, Battle of the...
Author: Tamer Basar
Publisher: SIAM
ISBN: 1611971136
Category : Mathematics
Languages : en
Pages : 526
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Book Description
Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.
Author:
Publisher: Elsevier
ISBN: 0323853390
Category : Mathematics
Languages : en
Pages : 596
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Book Description
Numerical Control: Part A, Volume 23 in the Handbook of Numerical Analysis series, highlights new advances in the field, with this new volume presenting interesting chapters written by an international board of authors. Chapters in this volume include Numerics for finite-dimensional control systems, Moments and convex optimization for analysis and control of nonlinear PDEs, The turnpike property in optimal control, Structure-Preserving Numerical Schemes for Hamiltonian Dynamics, Optimal Control of PDEs and FE-Approximation, Filtration techniques for the uniform controllability of semi-discrete hyperbolic equations, Numerical controllability properties of fractional partial differential equations, Optimal Control, Numerics, and Applications of Fractional PDEs, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Handbook of Numerical Analysis series Updated release includes the latest information on Numerical Control
Author: Andrey E. Gorodetskiy
Publisher: Springer
ISBN: 3319997599
Category : Technology & Engineering
Languages : en
Pages : 330
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Book Description
This book presents the latest achievements in the theory and practice of SEMS Group interaction by scientists from the Russian Academy of Sciences. It also discusses the development of methods for the design and simulation of SEMS Group interaction based on the principles of safety, flexibility and adaptability in behavior and intelligence and parallelism in information processing, computation and control. Recently, the task has been to ensure the functioning of robots within the framework of collective collaboration, so that they function efficiently, reliably and safely in real time. The topics covered include, but are not limited to, the following: - the planning behavior of the SEMS group;- methods and principles of designing of automatic control systems;- mathematical and computer modeling group interaction;- safety, flexibility and adaptability of the SEMS Group;- information-measuring soft- and hardware. This book is intended for students, scientists and engineers specializing in the field of smart electromechanical systems and robotics.
Author: Eric van Damme
Publisher: Springer Science & Business Media
ISBN: 9783540538004
Category : Business & Economics
Languages : en
Pages : 366
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Book Description
This book discusses the main shortcomings of the classical solution concept from noncooperative game theory (that of Nash equilibria) and provides a comprehensive study of the more refined concepts (such as sequential, perfect, proper and stable equilibria) that have been introduced to overcome these drawbacks. The plausibility of the assumptions underlying each such concept are discussed, desirable properties as well as deficiencies are illustrated, characterizations are derived and the relationships between the various concepts are studied. The first six chapters provide an informal discussion with many examples as well as a comprehensive overview for normal form games. The remaining chapters are devoted to specific applications, illustrating the strength (resp. weakness) of the various concepts.
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: Management Association, Information Resources
Publisher: IGI Global
ISBN: 1522525955
Category : Mathematics
Languages : en
Pages : 515
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Book Description
Developments in the use of game theory have impacted multiple fields and created opportunities for new applications. With the ubiquity of these developments, there is an increase in the overall utilization of this approach. Game Theory: Breakthroughs in Research and Practice contains a compendium of the latest academic material on the usage, strategies, and applications for implementing game theory across a variety of industries and fields. Including innovative studies on economics, military strategy, and political science, this multi-volume book is an ideal source for professionals, practitioners, graduate students, academics, and researchers interested in the applications of game theory.
Author: Anthony Kelly
Publisher: Cambridge University Press
ISBN: 9781139438131
Category : Business & Economics
Languages : en
Pages : 228
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Book Description
Game theory is a key element in most decision-making processes involving two or more people or organisations. This book explains how game theory can predict the outcome of complex decision-making processes, and how it can help you to improve your own negotiation and decision-making skills. It is grounded in well-established theory, yet the wide-ranging international examples used to illustrate its application offer a fresh approach to an essential weapon in the armoury of the informed manager. The book is accessibly written, explaining in simple terms the underlying mathematics behind games of skill, before moving on to more sophisticated topics such as zero-sum games, mixed-motive games, and multi-person games, coalitions and power. Clear examples and helpful diagrams are used throughout, and the mathematics is kept to a minimum. It is written for managers, students and decision makers in any field.
