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Author : Wilhelm Krelle
Publisher :
ISBN 13 :
Total Pages : 33 pages
Book Rating : 4.:/5 (752 download)
Download or read book Learning in a class on non-zero-sum two person games written by Wilhelm Krelle and published by . This book was released on 1991 with total page 33 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilhelm Krelle
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (83 download)
Download or read book Learning in a Class of Non-zero-sum Two-person Games written by Wilhelm Krelle and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilhelm Krelle
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (596 download)
Download or read book Appendices and Numerical Examples to the Paper Learning in a Class of Non-zero-sum Two-person Games written by Wilhelm Krelle and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alan R. Washburn
Publisher : INFORMS
ISBN 13 : 1877640190
Total Pages : 137 pages
Book Rating : 4.8/5 (776 download)
Download or read book Two-person Zero-sum Games written by Alan R. Washburn and published by INFORMS. This book was released on 2003 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leon Aganesovich Petrosi︠a︡n
Publisher : Nova Publishers
ISBN 13 : 9781560726296
Total Pages : 206 pages
Book Rating : 4.7/5 (262 download)
Download or read book Game Theory and Applications IV written by Leon Aganesovich Petrosi︠a︡n and published by Nova Publishers. This book was released on 1998 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises 18 contributions on game theory and its applications. Representative topics include: the normalized Banzhaf value and the Banzhaf share function; game problems on rotation surfaces; an optimal stopping of random walks game with reflection; Nash- Hurwitz equilibrium for non-cooperative games; a survey on communication in cooperation games; and selectors of the core and consistency properties. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Kōichi Miyazawa
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Convergence of the Learning Process in a 2 X 2 Non-Zero-sum Two-person Game written by Kōichi Miyazawa and published by . This book was released on 1961 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt: A problem is presented as follows: Will a learning process give rise to an equilibrium point; that is, will a seque ce of mixed stra egies xk yk oci i a le rning process converge to equilibrium strategies x*, y*, of the game, when k increases infinitely. This is one of the open problems in game theory. (In the case of zero-sum two-person games, the affirmative answer is given.) The purpose in this discussion is to show that the answer to the abov question is affirm iv in he case of m equals n equals 2. (A UTHOR).
Author : Alan Washburn
Publisher : Springer
ISBN 13 : 9781461490517
Total Pages : 199 pages
Book Rating : 4.4/5 (95 download)
Download or read book Two-Person Zero-Sum Games written by Alan Washburn and published by Springer. This book was released on 2013-11-29 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-person zero-sum game theory deals with situations that are perfectly competitive—there are exactly two decision makers for whom there is no possibility of cooperation or compromise. It is the most fundamental part of game theory, and the part most commonly applied. There are diverse applications to military battles, sports, parlor games, economics and politics. The theory was born in World War II, and has by now matured into a significant and tractable body of knowledge about competitive decision making. The advent of modern, powerful computers has enabled the solution of many games that were once beyond computational reach. Two-Person Zero-Sum Games, 4th Ed. offers an up-to-date introduction to the subject, especially its computational aspects. Any finite game can be solved by the brute force method of enumerating all possible strategies and then applying linear programming. The trouble is that many interesting games have far too many strategies to enumerate, even with the aid of computers. After introducing ideas, terminology, and the brute force method in the initial chapters, the rest of the book is devoted to classes of games that can be solved without enumerating every strategy. Numerous examples are given, as well as an extensive set of exercises. Many of the exercises are keyed to sheets of an included Excel workbook that can be freely downloaded from the SpringerExtras website. This new edition can be used as either a reference book or as a textbook.
Author : Jerzy A. Filar
Publisher : Springer Science & Business Media
ISBN 13 : 9780817640026
Total Pages : 488 pages
Book Rating : 4.6/5 (4 download)
Download or read book Advances in Dynamic Games and Applications written by Jerzy A. Filar and published by Springer Science & Business Media. This book was released on 2000-03-30 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modem game theory has evolved enonnously since its inception in the 1920s in the works ofBorel and von Neumann and since publication in the 1940s of the seminal treatise "Theory of Games and Economic Behavior" by von Neumann and Morgenstern. The branch of game theory known as dynamic games is-to a significant extent-descended from the pioneering work on differential games done by Isaacs in the 1950s and 1960s. Since those early decades game theory has branched out in many directions, spanning such diverse disciplines as math ematics, economics, electrical and electronics engineering, operations research, computer science, theoretical ecology, environmental science, and even political science. The papers in this volume reflect both the maturity and the vitalityofmodem day game theoryin general, andofdynamic games, inparticular. The maturitycan be seen from the sophistication ofthe theorems, proofs, methods, and numerical algorithms contained in these articles. The vitality is manifested by the range of new ideas, new applications, the numberofyoung researchers among the authors, and the expanding worldwide coverage of research centers and institutes where the contributions originated.
Author : Anna R. Karlin
Publisher : American Mathematical Soc.
ISBN 13 : 1470419823
Total Pages : 400 pages
Book Rating : 4.4/5 (74 download)
Download or read book Game Theory, Alive written by Anna R. Karlin and published by American Mathematical Soc.. This book was released on 2017-04-27 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.
Author : João P. Hespanha
Publisher : Princeton University Press
ISBN 13 : 0691175217
Total Pages : 242 pages
Book Rating : 4.6/5 (911 download)
Download or read book Noncooperative Game Theory written by João P. Hespanha and published by Princeton University Press. This book was released on 2017-06-13 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncooperative Game Theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. João Hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to "the game" solve the original design problem? Using the fundamentals of game theory, Hespanha explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, Hespanha examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. Hespanha looks at such standard topics as zero-sum, non-zero-sum, and dynamics games and includes a MATLAB guide to coding. Noncooperative Game Theory offers students a fresh way of approaching engineering and computer science applications. An introduction to game theory applications for students of engineering and computer science Materials presented sequentially and in an easy-to-understand fashion Topics explore zero-sum, non-zero-sum, and dynamics games MATLAB commands are included
Author : Huaguang Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 144714757X
Total Pages : 432 pages
Book Rating : 4.4/5 (471 download)
Download or read book Adaptive Dynamic Programming for Control written by Huaguang Zhang and published by Springer Science & Business Media. This book was released on 2012-12-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Tamer Basar
Publisher :
ISBN 13 : 9783319273358
Total Pages : pages
Book Rating : 4.2/5 (733 download)
Download or read book Handbook of Dynamic Game Theory written by Tamer Basar and published by . This book was released on 19?? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Résumé : "This will be a two-part handbook on Dynamic Game Theory and part of the Springer Reference program. Part I will be on the fundamentals and theory of dynamic games. It will serve as a quick reference and a source of detailed exposure to topics in dynamic games for a broad community of researchers, educators, practitioners, and students. Each topic will be covered in 2-3 chapters with one introducing basic theory and the other one or two covering recent advances and/or special topics. Part II will be on applications in fields such as economics, management science, engineering, biology, and the social sciences."
Author : Melvin Dresher
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Theory of Zero-sum Two-person Games with a Finite Number Or a Continuum of Strategies written by Melvin Dresher and published by . This book was released on 1949 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard Lee Ward
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (122 download)
Download or read book The Learning of Mixed Strategy Solutions in Two-person, 2 X 2, Zero-sum Games written by Richard Lee Ward and published by . This book was released on 1974 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eran Shmaya
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.:/5 (248 download)
Download or read book Two Player Non Zero-sum Stopping Games in Discrete Time written by Eran Shmaya and published by . This book was released on 2002 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Eugene More Mignogna
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (134 download)
Download or read book An Exposition on Two Person Non-zero Sum Cooperative Games written by Eugene More Mignogna and published by . This book was released on 1959 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeremy Judah Stone
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (845 download)
Download or read book Two-person Non-zero-sum Games written by Jeremy Judah Stone and published by . This book was released on 1957 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
