Application Of An Iterative Method For A Three Person Non Zero Sum Game
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Application Of An Iterative Method For A Three Person Non Zero Sum Game
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Author : Gerald W. McLaughlin
language : en
Publisher:
Release Date : 1965
Application Of An Iterative Method For A Three Person Non Zero Sum Game written by Gerald W. McLaughlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
Iterative Algorithms For Two Person Zero Sum Games
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Author : Piya Limsakul
language : en
Publisher:
Release Date : 1999
Iterative Algorithms For Two Person Zero Sum Games written by Piya Limsakul and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
In 1951, G.W. Brown proposed an iterative algorithm called fictitious play for solving two-person zero-sum games. Although it is an effective method, the fictitious play algorithm converges slowly to the value of the game. Recently, Gass, Zafra, and Qiu proposed a modification that applies to symmetric games, i.e., games with skew-symmetric payoff matrices. To solve non-symmetric games via their modification, the games must be made symmetric via a transformation. Gass, Zafra, and Qiu reported that their modified algorithm converges faster than the original fictitious play on a collection of randomly generated games. However, their results on non-symmetric games only apply to games whose values are near zero. When game values are far away from zero, this thesis empirically shows that the original fictitious play algorithm can outperform the modified one. Gass, Zafra, and Qiu's method is static, in that the symmetric transformation is done once prior to the start of their modified algorithm. However, they suggested the exploration of dynamic methods where the transformation is periodically revised. This thesis proposes and investigates the convergence behavior of one dynamic transformation technique for solving general two-person zero-sum games.
Adaptive Dynamic Programming With Applications In Optimal Control
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Author : Derong Liu
language : en
Publisher: Springer
Release Date : 2017-01-04
Adaptive Dynamic Programming With Applications In Optimal Control written by Derong Liu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-04 with Technology & Engineering categories.
This book covers the most recent developments in adaptive dynamic programming (ADP). The text begins with a thorough background review of ADP making sure that readers are sufficiently familiar with the fundamentals. In the core of the book, the authors address first discrete- and then continuous-time systems. Coverage of discrete-time systems starts with a more general form of value iteration to demonstrate its convergence, optimality, and stability with complete and thorough theoretical analysis. A more realistic form of value iteration is studied where value function approximations are assumed to have finite errors. Adaptive Dynamic Programming also details another avenue of the ADP approach: policy iteration. Both basic and generalized forms of policy-iteration-based ADP are studied with complete and thorough theoretical analysis in terms of convergence, optimality, stability, and error bounds. Among continuous-time systems, the control of affine and nonaffine nonlinear systems is studied using the ADP approach which is then extended to other branches of control theory including decentralized control, robust and guaranteed cost control, and game theory. In the last part of the book the real-world significance of ADP theory is presented, focusing on three application examples developed from the authors’ work: • renewable energy scheduling for smart power grids;• coal gasification processes; and• water–gas shift reactions. Researchers studying intelligent control methods and practitioners looking to apply them in the chemical-process and power-supply industries will find much to interest them in this thorough treatment of an advanced approach to control.
An Iterative Solution Of Two Person Zero Sum Games
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Author : Robert Abbott Estes
language : en
Publisher:
Release Date : 1961
An Iterative Solution Of Two Person Zero Sum Games written by Robert Abbott Estes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with categories.
An Iterative Method For Finding A Solution To A Zero Sum Two Person Rectangular Game
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Author : Robert James Jirka
language : en
Publisher:
Release Date : 1959
An Iterative Method For Finding A Solution To A Zero Sum Two Person Rectangular Game written by Robert James Jirka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Game theory categories.
Applications Of Mathematics And Informatics In Science And Engineering
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Author : Nicholas J. Daras
language : en
Publisher: Springer Science & Business
Release Date : 2014-04-30
Applications Of Mathematics And Informatics In Science And Engineering written by Nicholas J. Daras and has been published by Springer Science & Business this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-30 with Mathematics categories.
Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.
Proceedings Of The United States Army Operations Research Symposium
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Author :
language : en
Publisher:
Release Date : 1971
Proceedings Of The United States Army Operations Research Symposium written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Military research categories.
Adaptive Dynamic Programming For Control
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Author : Huaguang Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-14
Adaptive Dynamic Programming For Control written by Huaguang Zhang 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 2012-12-14 with Technology & Engineering categories.
There are many methods of stable controller design for nonlinear systems. In seeking to go beyond the minimum requirement of stability, Adaptive Dynamic Programming in Discrete Time approaches the challenging topic of optimal control for nonlinear systems using the tools of adaptive dynamic programming (ADP). The range of systems treated is extensive; affine, switched, singularly perturbed and time-delay nonlinear systems are discussed as are the uses of neural networks and techniques of value and policy iteration. The text features three main aspects of ADP in which the methods proposed for stabilization and for tracking and games benefit from the incorporation of optimal control methods: • infinite-horizon control for which the difficulty of solving partial differential Hamilton–Jacobi–Bellman equations directly is overcome, and proof provided that the iterative value function updating sequence converges to the infimum of all the value functions obtained by admissible control law sequences; • finite-horizon control, implemented in discrete-time nonlinear systems showing the reader how to obtain suboptimal control solutions within a fixed number of control steps and with results more easily applied in real systems than those usually gained from infinite-horizon control; • nonlinear games for which a pair of mixed optimal policies are derived for solving games both when the saddle point does not exist, and, when it does, avoiding the existence conditions of the saddle point. Non-zero-sum games are studied in the context of a single network scheme in which policies are obtained guaranteeing system stability and minimizing the individual performance function yielding a Nash equilibrium. In order to make the coverage suitable for the student as well as for the expert reader, Adaptive Dynamic Programming in Discrete Time: • establishes the fundamental theory involved clearly with each chapter devoted to a clearly identifiable control paradigm; • demonstrates convergence proofs of the ADP algorithms to deepen understanding of the derivation of stability and convergence with the iterative computational methods used; and • shows how ADP methods can be put to use both in simulation and in real applications. This text will be of considerable interest to researchers interested in optimal control and its applications in operations research, applied mathematics computational intelligence and engineering. Graduate students working in control and operations research will also find the ideas presented here to be a source of powerful methods for furthering their study.
Mathematical Optimization Theory And Operations Research
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Author : Anton Eremeev
language : en
Publisher: Springer Nature
Release Date :
Mathematical Optimization Theory And Operations Research written by Anton Eremeev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Integral And Inverse Reinforcement Learning For Optimal Control Systems And Games
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Author : Bosen Lian
language : en
Publisher: Springer Nature
Release Date :
Integral And Inverse Reinforcement Learning For Optimal Control Systems And Games written by Bosen Lian and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.