Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games

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Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games
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Author : Werner Krabs
language : en
Publisher: Springer
Release Date : 2011-09-26
Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games written by Werner Krabs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-26 with Business & Economics categories.
Focuses on the analysis, optimization and controllability of time-discrete dynamical systems and games under the aspect of stability, controllability and (for games) cooperative and non-cooperative treatment. The investigation of stability is based on Lyapunov's method which is generalized to non-autonomous systems. Optimization and controllability of dynamical systems is treated, among others, with the aid of mapping theorems such as implicit function theorem and inverse mapping theorem. Dynamical games are treated as cooperative and non-cooperative games and are used in order to deal with the problem of carbon dioxide reduction under economic aspects. The theoretical results are demonstrated by various applications.
Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games
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Author : Werner Krabs
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-08-26
Analysis Controllability And Optimization Of Time Discrete Systems And Dynamical Games written by Werner Krabs and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-26 with Business & Economics categories.
Focuses on the analysis, optimization and controllability of time-discrete dynamical systems and games under the aspect of stability, controllability and (for games) cooperative and non-cooperative treatment. The investigation of stability is based on Lyapunov's method which is generalized to non-autonomous systems. Optimization and controllability of dynamical systems is treated, among others, with the aid of mapping theorems such as implicit function theorem and inverse mapping theorem. Dynamical games are treated as cooperative and non-cooperative games and are used in order to deal with the problem of carbon dioxide reduction under economic aspects. The theoretical results are demonstrated by various applications.
Advances In Dynamic Games
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Author : Alain Haurie
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-03
Advances In Dynamic Games written by Alain Haurie and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-03 with Mathematics categories.
This book, an outgrowth of the 10th International Symposium on Dynamic Games, presents current developments of the theory of dynamic games and its applications. The text uses dynamic game models to approach and solve problems pertaining to pursuit-evasion, marketing, finance, climate and environmental economics, resource exploitation, as well as auditing and tax evasions. It includes chapters on cooperative games, which are increasingly drawing dynamic approaches to their classical solutions.
Pareto Optimality Game Theory And Equilibria
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Author : Panos M. Pardalos
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-07-02
Pareto Optimality Game Theory And Equilibria written by Panos M. Pardalos and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-07-02 with Mathematics categories.
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.
Topics In Dynamic Model Analysis
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Author : Mario Faliva
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Topics In Dynamic Model Analysis written by Mario Faliva and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Business & Economics categories.
Classical econometrics - which plunges its roots in economic theory with simultaneous equations models (SEM) as offshoots - and time series econometrics - which stems from economic data with vector autoregr- sive (VAR) models as offsprings - scour, like the Janus's facing heads, the flowing of economic variables so as to bring to the fore their autonomous and non-autonomous dynamics. It is up to the so-called final form of a dy namic SEM, on the one hand, and to the so-called representation theorems of (unit-root) VAR models, on the other, to provide informative closed form expressions for the trajectories, or time paths, of the economic vari ables of interest. Should we look at the issues just put forward from a mathematical standpoint, the emblematic models of both classical and time series econometrics would turn out to be difference equation systems with ad hoc characteristics, whose solutions are attained via a final form or a represen tation theorem approach. The final form solution - algebraic technicalities apart - arises in the wake of classical difference equation theory, display ing besides a transitory autonomous component, an exogenous one along with a stochastic nuisance term. This follows from a properly defined ma trix function inversion admitting a Taylor expansion in the lag operator be cause of the assumptions regarding the roots of a determinant equation pe culiar to SEM specifications.
Experimenting With Dynamic Macromodels
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Author : PierCarlo Nicola
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-01
Experimenting With Dynamic Macromodels written by PierCarlo Nicola and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-01 with Business & Economics categories.
This book presents a macroeconomic dynamic model à la Solow-Swan, including the market for labor, in a discrete time structure. The model is expanded to include expenditure on R&D and public expenditure on infrastructure. For each of the three models the results are shown in time series figures, which demonstrate that even small changes in the parameters produce responses in the time behavior of the main variables: from steady growth, to regular cycles, to chaotic-like time paths.
Index And Stability In Bimatrix Games
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Author : H. Arndt von Schemde
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-11
Index And Stability In Bimatrix Games written by H. Arndt von Schemde and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-11 with Business & Economics categories.
The index of an equilibrium in a game gives information about the "stability" of the equilibrium, for example with respect to game dynamics. Unfortunately, index theory is often very technical. This book presents a new geometric construction that visualises the index in an intuitive way. For example, a 3A-n game, for any n, can be represented by a figure in the plane, from which one can read off any equilibrium, and its index as a geometric orientation. With this insight, the index can be characterised in strategic terms alone. Moreover, certain "hyperstable" equilibrium components are seen to have nonzero index. The construction gives an elementary proof that two-player games have a Nash equilibrium, and, in an unusual direction, the powerful fixed point theorem of Brouwer.
Nonlinear Dynamics And Heterogeneous Interacting Agents
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Author : Thomas Lux
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-06
Nonlinear Dynamics And Heterogeneous Interacting Agents written by Thomas Lux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-06 with Business & Economics categories.
Economic application of nonlinear dynamics, microscopic agent-based modelling, and the use of artificial intelligence techniques as learning devices of boundedly rational actors are among the most exciting interdisciplinary ventures of economic theory over the past decade. This volume provides us with a most fascinating series of examples on "complexity in action" exemplifying the scope and explanatory power of these innovative approaches.
Computational Aspects Of General Equilibrium Theory
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Author : Donald Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08
Computational Aspects Of General Equilibrium Theory written by Donald Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Business & Economics categories.
This monograph presents a general equilibrium methodology for microeconomic policy analysis. It is intended to serve as an alternative to the now classical, axiomatic general equilibrium theory as exposited in Debreu`s Theory of Value (1959) or Arrow and Hahn`s General Competitive Analysis (1971). The monograph consists of several essays written over the last decade. It also contains an appendix by Charles Steinhorn on the elements of O-minimal structures.
Evolution Of Non Expected Utility Preferences
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Author : Sven von Widekind
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-08
Evolution Of Non Expected Utility Preferences written by Sven von Widekind and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-08 with Business & Economics categories.
The theory on the evolution of preferences deals with the endogenous formation of preference relations in strategic situations. It is related to the field of evolutionary game theory. In this book we analyze the role and the influence of general, possibly non-expected utility preferences in such an evolutionary setup. In particular, we demonstrate that preferences which diverge from von Neumann-Morgenstern expected utility may potentially prove to be successful under evolutionary pressures.