A Course In Stochastic Game Theory

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A Course in Stochastic Game Theory

Author : Eilon Solan
Publisher : Cambridge University Press
ISBN 13 : 1009034340
Total Pages : 280 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis A Course in Stochastic Game Theory by : Eilon Solan

Download or read book A Course in Stochastic Game Theory written by Eilon Solan and published by Cambridge University Press. This book was released on 2022-05-26 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic games have an element of chance: the state of the next round is determined probabilistically depending upon players' actions and the current state. Successful players need to balance the need for short-term payoffs while ensuring future opportunities remain high. The various techniques needed to analyze these often highly non-trivial games are a showcase of attractive mathematics, including methods from probability, differential equations, algebra, and combinatorics. This book presents a course on the theory of stochastic games going from the basics through to topics of modern research, focusing on conceptual clarity over complete generality. Each of its chapters introduces a new mathematical tool – including contracting mappings, semi-algebraic sets, infinite orbits, and Ramsey's theorem, among others – before discussing the game-theoretic results they can be used to obtain. The author assumes no more than a basic undergraduate curriculum and illustrates the theory with numerous examples and exercises, with solutions available online.

A Course in Game Theory

Author : Martin J. Osborne
Publisher : MIT Press
ISBN 13 : 9780262650403
Total Pages : 374 pages
Book Rating : 4.6/5 (54 download)

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Book Synopsis A Course in Game Theory by : Martin J. Osborne

Download or read book A Course in Game Theory written by Martin J. Osborne and published by MIT Press. This book was released on 1994-07-12 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.

Stochastic Games and Related Concepts

Author : T. Parthasarathy
Publisher : Springer Nature
ISBN 13 : 9811565775
Total Pages : 127 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Stochastic Games and Related Concepts by : T. Parthasarathy

Download or read book Stochastic Games and Related Concepts written by T. Parthasarathy and published by Springer Nature. This book was released on 2020-12-08 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses stochastic game theory and related concepts. Topics focused upon in the book include matrix games, finite, infinite, and undiscounted stochastic games, n-player cooperative games, minimax theorem, and more. In addition to important definitions and theorems, the book provides readers with a range of problem-solving techniques and exercises. This book is of value to graduate students and readers of probability and statistics alike.

A Course in Stochastic Game Theory

Author : Eilon Solan
Publisher : Cambridge University Press
ISBN 13 : 1316516334
Total Pages : 279 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis A Course in Stochastic Game Theory by : Eilon Solan

Download or read book A Course in Stochastic Game Theory written by Eilon Solan and published by Cambridge University Press. This book was released on 2022-05-26 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book for beginning graduate students presents a course on stochastic games and the mathematical methods used in their analysis.

A Course In Game Theory

Author : Thomas S Ferguson
Publisher : World Scientific
ISBN 13 : 9813227370
Total Pages : 409 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis A Course In Game Theory by : Thomas S Ferguson

Download or read book A Course In Game Theory written by Thomas S Ferguson and published by World Scientific. This book was released on 2020-07-20 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is a fascinating subject. We all know many entertaining games, such as chess, poker, tic-tac-toe, bridge, baseball, computer games — the list is quite varied and almost endless. In addition, there is a vast area of economic games, discussed in Myerson (1991) and Kreps (1990), and the related political games [Ordeshook (1986), Shubik (1982), and Taylor (1995)]. The competition between firms, the conflict between management and labor, the fight to get bills through congress, the power of the judiciary, war and peace negotiations between countries, and so on, all provide examples of games in action. There are also psychological games played on a personal level, where the weapons are words, and the payoffs are good or bad feelings [Berne (1964)]. There are biological games, the competition between species, where natural selection can be modeled as a game played between genes [Smith (1982)]. There is a connection between game theory and the mathematical areas of logic and computer science. One may view theoretical statistics as a two-person game in which nature takes the role of one of the players, as in Blackwell and Girshick (1954) and Ferguson (1968).Games are characterized by a number of players or decision makers who interact, possibly threaten each other and form coalitions, take actions under uncertain conditions, and finally receive some benefit or reward or possibly some punishment or monetary loss. In this text, we present various mathematical models of games and study the phenomena that arise. In some cases, we will be able to suggest what courses of action should be taken by the players. In others, we hope simply to be able to understand what is happening in order to make better predictions about the future.

Stochastic Games and Applications

Author : Abraham Neyman
Publisher : Springer Science & Business Media
ISBN 13 : 9401001898
Total Pages : 473 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Stochastic Games and Applications by : Abraham Neyman

Download or read book Stochastic Games and Applications written by Abraham Neyman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures given at the NATO Advanced Study Institute on "Stochastic Games and Applications," which took place at Stony Brook, NY, USA, July 1999. It gives the editors great pleasure to present it on the occasion of L.S. Shapley's eightieth birthday, and on the fiftieth "birthday" of his seminal paper "Stochastic Games," with which this volume opens. We wish to thank NATO for the grant that made the Institute and this volume possible, and the Center for Game Theory in Economics of the State University of New York at Stony Brook for hosting this event. We also wish to thank the Hebrew University of Jerusalem, Israel, for providing continuing financial support, without which this project would never have been completed. In particular, we are grateful to our editorial assistant Mike Borns, whose work has been indispensable. We also would like to acknowledge the support of the Ecole Poly tech nique, Paris, and the Israel Science Foundation. March 2003 Abraham Neyman and Sylvain Sorin ix STOCHASTIC GAMES L.S. SHAPLEY University of California at Los Angeles Los Angeles, USA 1. Introduction In a stochastic game the play proceeds by steps from position to position, according to transition probabilities controlled jointly by the two players.

Essentials of Game Theory

Author : Kevin Gebser
Publisher : Springer Nature
ISBN 13 : 3031015452
Total Pages : 88 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Essentials of Game Theory by : Kevin Gebser

Download or read book Essentials of Game Theory written by Kevin Gebser and published by Springer Nature. This book was released on 2022-05-31 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory is the mathematical study of interaction among independent, self-interested agents. The audience for game theory has grown dramatically in recent years, and now spans disciplines as diverse as political science, biology, psychology, economics, linguistics, sociology, and computer science, among others. What has been missing is a relatively short introduction to the field covering the common basis that anyone with a professional interest in game theory is likely to require. Such a text would minimize notation, ruthlessly focus on essentials, and yet not sacrifice rigor. This Synthesis Lecture aims to fill this gap by providing a concise and accessible introduction to the field. It covers the main classes of games, their representations, and the main concepts used to analyze them.

Markov Decision Processes in Artificial Intelligence

Author : Olivier Sigaud
Publisher : John Wiley & Sons
ISBN 13 : 1118620100
Total Pages : 367 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Markov Decision Processes in Artificial Intelligence by : Olivier Sigaud

Download or read book Markov Decision Processes in Artificial Intelligence written by Olivier Sigaud and published by John Wiley & Sons. This book was released on 2013-03-04 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markov Decision Processes (MDPs) are a mathematical framework for modeling sequential decision problems under uncertainty as well as reinforcement learning problems. Written by experts in the field, this book provides a global view of current research using MDPs in artificial intelligence. It starts with an introductory presentation of the fundamental aspects of MDPs (planning in MDPs, reinforcement learning, partially observable MDPs, Markov games and the use of non-classical criteria). It then presents more advanced research trends in the field and gives some concrete examples using illustrative real life applications.

Game Theory

Author : Joachim Rosenmüller
Publisher : Springer Science & Business Media
ISBN 13 : 1475732120
Total Pages : 668 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Game Theory by : Joachim Rosenmüller

Download or read book Game Theory written by Joachim Rosenmüller and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game Theory: Stochastics, Information, Strategies and Cooperation provides a discussion of some relevant topics in game theory. It is composed partially from material compiled by Professor Joachim Rosenmüller when lecturing at IMW, the Institute of Mathematical Economics at the University of Bielefeld. On the other hand, it also contains research topics that are not presented in a typical game theory textbook. Thus, the volume may provide the basis for an advanced course in game theory; simultaneously it may be called a monograph, and, as a third aspect, it also supplies some rather elementary versions of advanced topics of the field. The volume has a non-cooperative and a cooperative part and in both of them the reader is assumed to have some basic knowledge in game theory, for instance, concerning the normal form (bimatrix games, Nash equilibria of the mixed extension, backwards induction in games with perfect information) on one hand and the coalitional function (simple games, convex games, superadditive games, the core, the Shapley volume) on the other hand. Some emphasis is laid on the probabilistic background; however, the author treats stochastic games using the language of probability in order to consider simple models in which measure theory can be omitted.

A Course in Game Theory

Author : Martin J. Osborne
Publisher : MIT Press
ISBN 13 : 0262650401
Total Pages : 369 pages
Book Rating : 4.2/5 (626 download)

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Book Synopsis A Course in Game Theory by : Martin J. Osborne

Download or read book A Course in Game Theory written by Martin J. Osborne and published by MIT Press. This book was released on 1994-07-12 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises.

A First Course on Zero-Sum Repeated Games

Author : Sylvain Sorin
Publisher : Springer Science & Business Media
ISBN 13 : 9783540430285
Total Pages : 228 pages
Book Rating : 4.4/5 (32 download)

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Book Synopsis A First Course on Zero-Sum Repeated Games by : Sylvain Sorin

Download or read book A First Course on Zero-Sum Repeated Games written by Sylvain Sorin and published by Springer Science & Business Media. This book was released on 2002-03-07 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to present the basic results in the theory of two-person zero-sum repeated games including stochastic games and repeated games with incomplete information. It is intended for graduate students with no previous knowledge of the field.

A Course in the Theory of Stochastic Processes

Author : Alexander D. Wentzell
Publisher : McGraw-Hill International Book Company
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Course in the Theory of Stochastic Processes by : Alexander D. Wentzell

Download or read book A Course in the Theory of Stochastic Processes written by Alexander D. Wentzell and published by McGraw-Hill International Book Company. This book was released on 1981 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Differential Games. Theory and Applications

Author : Kandethody M. Ramachandran
Publisher : Springer Science & Business Media
ISBN 13 : 9491216473
Total Pages : 253 pages
Book Rating : 4.4/5 (912 download)

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Book Synopsis Stochastic Differential Games. Theory and Applications by : Kandethody M. Ramachandran

Download or read book Stochastic Differential Games. Theory and Applications written by Kandethody M. Ramachandran and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.

Noncooperative Game Theory

Author : João P. Hespanha
Publisher : Princeton University Press
ISBN 13 : 0691175217
Total Pages : 242 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Noncooperative Game Theory by : João P. Hespanha

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

Game Theory

Author : Michael Maschler
Publisher : Cambridge University Press
ISBN 13 : 1108493459
Total Pages : 1053 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Game Theory by : Michael Maschler

Download or read book Game Theory written by Michael Maschler and published by Cambridge University Press. This book was released on 2020-06-25 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.

Stochastic Games And Related Topics

Author : T.E.S. Raghaven
Publisher : Springer
ISBN 13 : 9789401056731
Total Pages : 0 pages
Book Rating : 4.0/5 (567 download)

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Book Synopsis Stochastic Games And Related Topics by : T.E.S. Raghaven

Download or read book Stochastic Games And Related Topics written by T.E.S. Raghaven and published by Springer. This book was released on 2012-10-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Game Strategies and their Applications

Author : Bor-Sen Chen
Publisher : CRC Press
ISBN 13 : 0429780508
Total Pages : 333 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Stochastic Game Strategies and their Applications by : Bor-Sen Chen

Download or read book Stochastic Game Strategies and their Applications written by Bor-Sen Chen and published by CRC Press. This book was released on 2019-07-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Game theory involves multi-person decision making and differential dynamic game theory has been widely applied to n-person decision making problems, which are stimulated by a vast number of applications. This book addresses the gap to discuss general stochastic n-person noncooperative and cooperative game theory with wide applications to control systems, signal processing systems, communication systems, managements, financial systems, and biological systems. H∞ game strategy, n-person cooperative and noncooperative game strategy are discussed for linear and nonlinear stochastic systems along with some computational algorithms developed to efficiently solve these game strategies.