A Course In Stochastic Game Theory
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A Course In Stochastic Game Theory
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Author : Eilon Solan
language : en
Publisher: Cambridge University Press
Release Date : 2022-05-26
A Course In Stochastic Game Theory written by Eilon Solan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-26 with Business & Economics categories.
This book for beginning graduate students presents a course on stochastic games and the mathematical methods used in their analysis.
A Course In Stochastic Game Theory
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Author : Eilon Solan
language : en
Publisher:
Release Date : 2022
A Course In Stochastic Game Theory written by Eilon Solan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with MATHEMATICS categories.
"Stochastic games are a mathematical model that is used to study dynamic interactions among agents who in uence the evolution of the environment. These games were rst presented and studied by Lloyd Shapley (1953).1;2 Since Shapley's seminal work, the literature on stochastic games expanded considerably, and the model was applied to numerous areas, such as arm race, shery wars, and taxation"--
A Course In Game Theory
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Author : Thomas S Ferguson
language : en
Publisher: World Scientific
Release Date : 2020-07-20
A Course In Game Theory written by Thomas S Ferguson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-20 with Mathematics categories.
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 Related Concepts
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Author : T. Parthasarathy
language : en
Publisher: Springer Nature
Release Date : 2020-12-08
Stochastic Games And Related Concepts written by T. Parthasarathy and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-08 with Mathematics categories.
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.
Stochastic Games And Applications
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Author : Abraham Neyman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Stochastic Games And Applications written by Abraham Neyman 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 2012-12-06 with Mathematics categories.
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.
A Course In Game Theory
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Author : Martin J. Osborne
language : en
Publisher: MIT Press
Release Date : 1994-07-12
A Course In Game Theory written by Martin J. Osborne and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-07-12 with Business & Economics categories.
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
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Author : Sylvain Sorin
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-03-07
A First Course On Zero Sum Repeated Games written by Sylvain Sorin 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 2002-03-07 with Business & Economics categories.
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.
Discrete Gambling And Stochastic Games
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Author : Ashok P. Maitra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Discrete Gambling And Stochastic Games written by Ashok P. Maitra 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 2012-12-06 with Mathematics categories.
The theory of probability began in the seventeenth century with attempts to calculate the odds of winning in certain games of chance. However, it was not until the middle of the twentieth century that mathematicians de veloped general techniques for maximizing the chances of beating a casino or winning against an intelligent opponent. These methods of finding op timal strategies for a player are at the heart of the modern theories of stochastic control and stochastic games. There are numerous applications to engineering and the social sciences, but the liveliest intuition still comes from gambling. The now classic work How to Gamble If You Must: Inequalities for Stochastic Processes by Dubins and Savage (1965) uses gambling termi nology and examples to develop an elegant, deep, and quite general theory of discrete-time stochastic control. A gambler "controls" the stochastic pro cess of his or her successive fortunes by choosing which games to play and what bets to make.
Essentials Of Game Theory
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Author : Kevin Leyton-Brown
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2008
Essentials Of Game Theory written by Kevin Leyton-Brown and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Electronic books categories.
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. Table of Contents: Games in Normal Form / Analyzing Games: From Optimality to Equilibrium / Further Solution Concepts for Normal-Form Games / Games with Sequential Actions: The Perfect-information Extensive Form / Generalizing the Extensive Form: Imperfect-Information Games / Repeated and Stochastic Games / Uncertainty about Payoffs: Bayesian Games / Coalitional Game Theory / History and References / Index
Stochastic Differential Games Theory And Applications
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Author : Kandethody M. Ramachandran
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-05
Stochastic Differential Games Theory And Applications written by Kandethody M. Ramachandran 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 2012-01-05 with Mathematics categories.
The subject theory is important in finance, economics, investment strategies, health sciences, environment, industrial engineering, etc.