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On A Class Of Two Person Zero Sum Games With Vector Valued Payoff Functions
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Book Synopsis On a Class of Two-person, Zero-sum Games with Vector-valued Payoff Functions by : Rahul Chattopadhyay
Download or read book On a Class of Two-person, Zero-sum Games with Vector-valued Payoff Functions written by Rahul Chattopadhyay and published by . This book was released on 1970 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report considers a class of two-person, zero-sum games with vector-valued payoff functions. The existence of vector-saddle-points for such games is proved by using the concept of dominant strategies.
Book Synopsis Two-person Zero-sum Games by : Alan R. Washburn
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:
Book Synopsis Theory of Games and Economic Behavior by : John Von Neumann
Download or read book Theory of Games and Economic Behavior written by John Von Neumann and published by Diana. This book was released on 2020-01-29 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.
Book Synopsis Silverman’s Game by : Gerald A. Heuer
Download or read book Silverman’s Game written by Gerald A. Heuer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of a Silverman game can be explained very quickly: Each of two players independently selects a number out of a prede termined set, not necessarily the same one for both of them. The higher number wins unless it is at least k times as high as the other one; if this is the case the lower number wins. The game ends in a draw if both numbers are equal. k is a constant greater than 1. The simplicity of the rules stimulates the curiosity of the the orist. Admittedly, Silverman games do not seem to have a direct applied significance, but nevertheless much can be learnt from their study. This book succeeds to give an almost complete overview over the structure of optimal strategies and it reveals a surprising wealth of interesting detail. A field like game theory does not only need research on broad questions and fundamental issues, but also specialized work on re stricted topics. Even if not many readers are interested in the subject matter, those who are will appreciate this monograph.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discrete Two-person Game Theory with Median Payoff Criterion by : John E. Walsh
Download or read book Discrete Two-person Game Theory with Median Payoff Criterion written by John E. Walsh and published by . This book was released on 1969 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: The minimax concept for solution of discrete two-person games is based on expected value considerations and has a zero-sum condition for payoffs. This approach often is inapplicable due to strong violation of the zero-sum condition. By use of a different criterion, based on median value considerations, a two-person game theory can be developed that seems appropriate for a class of situations called competitive. It is also applicable for a hugely broader class of practically important situations called median competitive. (Author).
Book Synopsis Mathematical Theory of Zero-sum Two-person Games with a Finite Number Or a Continuum of Strategies by : Melvin Dresher
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:
Book Synopsis Game Theory, Alive by : Anna R. Karlin
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.
Book Synopsis Foundations of Game Theory by : Nicolai N. Vorob'ev
Download or read book Foundations of Game Theory written by Nicolai N. Vorob'ev and published by Birkhäuser. This book was released on 2012-12-06 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The English edition differs only slightly from the Russian original. The main struc tural difference is that all the material on the theory of finite noncooperative games has been collected in Chapter 2, with renumbering of the material of the remain ing chapters. New sections have been added in this chapter: devoted to general questions of equilibrium theory in nondegenerate games, subsections 3.9-3.17, by N.N. Vorob'ev, Jr.; and § 4, by A.G. Chernyakov; and § 5, by N.N. Vorob'ev, Jr., on the computational complexity of the process of finding equilibrium points in finite games. It should also be mentioned that subsections 3.12-3.14 in Chapter 1 were written by E.B. Yanovskaya especially for the Russian edition. The author regrets that the present edition does not reflect the important game-theoretical achievements presented in the splendid monographs by E. van Damme (on the refinement of equilibrium principles for finite games), as well as those by J.e. Harsanyi and R. Selten, and by W. Giith and B. Kalkofen (on equilibrium selection). When the Russian edition was being written, these direc tions in game theory had not yet attained their final form, which appeared only in quite recent monographs; the present author has had to resist the temptation of attempting to produce an elementary exposition of the new theories for the English edition; readers of this edition will find only brief mention of the new material.
Book Synopsis Behavior in Two-person, Zero-sum Games as a Function of Minimax Strategy and Expected Value by : Lorraine Kay Hallman
Download or read book Behavior in Two-person, Zero-sum Games as a Function of Minimax Strategy and Expected Value written by Lorraine Kay Hallman and published by . This book was released on 1970 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Book Synopsis Introducing Game Theory and its Applications by : Elliott Mendelson
Download or read book Introducing Game Theory and its Applications written by Elliott Mendelson and published by CRC Press. This book was released on 2024-08-02 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text, originally from the noted logician Elliot Mendelson, is intended to be an easy-to-read introduction to the basic ideas and techniques of game theory. It can be used as a class textbook or for self-study. Introducing Game Theory and its Applications, Second Edition presents an easy-to-read introduction to the basic ideas and techniques of game theory. After a brief introduction, the authors begin with a chapter devoted to combinatorial games--a topic neglected or treated minimally in most other texts. The focus then shifts to two-person zero-sum games and their solutions. Here the authors present the simplex method based on linear programming for solving these games and develop within this presentation the required background. The final chapter presents some of the fundamental ideas and tools of non-zero-sum games and games with more than two players, including an introduction to cooperative game theory. The book is suitable for a first undergraduate course in game theory, or a graduate course for students with limited previous exposure. It is useful for students who need to learn some game theory for a related subject (e.g., microeconomics) and have a limited mathematical background. It also prepares its readers for more advanced study of game theory's applications in economics, business, and the physical, biological, and social sciences. The authors hope this book breeds curiosity about the subject as its design is meant to to satisfy the readers. The book will prepare readers for deeper study of game theory applications in many fields of study.
Book Synopsis How to Gamble If You Must by : Lester E. Dubins
Download or read book How to Gamble If You Must written by Lester E. Dubins and published by Courier Corporation. This book was released on 2014-08-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic of advanced statistics is geared toward graduate-level readers and uses the concepts of gambling to develop important ideas in probability theory. The authors have distilled the essence of many years' research into a dozen concise chapters. "Strongly recommended" by the Journal of the American Statistical Association upon its initial publication, this revised and updated edition features contributions from two well-known statisticians that include a new Preface, updated references, and findings from recent research. Following an introductory chapter, the book formulates the gambler's problem and discusses gambling strategies. Succeeding chapters explore the properties associated with casinos and certain measures of subfairness. Concluding chapters relate the scope of the gambler's problems to more general mathematical ideas, including dynamic programming, Bayesian statistics, and stochastic processes. Dover (2014) revised and updated republication of the 1976 Dover edition entitled Inequalities for Stochastic Processes. See every Dover book in print at www.doverpublications.com
Book Synopsis Repeated Games with Incomplete Information by : Robert J. Aumann
Download or read book Repeated Games with Incomplete Information written by Robert J. Aumann and published by MIT Press. This book was released on 1995 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others.
Book Synopsis Mathematical Analysis and Applications in Modeling by : Priti Kumar Roy
Download or read book Mathematical Analysis and Applications in Modeling written by Priti Kumar Roy and published by Springer Nature. This book was released on 2020-03-10 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects select papers presented at the “International Conference on Mathematical Analysis and Application in Modeling,” held at Jadavpur University, Kolkata, India, on 9–12 January 2018. It discusses new results in cutting-edge areas of several branches of mathematics and applications, including analysis, topology, dynamical systems (nonlinear, topological), mathematical modeling, optimization and mathematical biology. The conference has emerged as a powerful forum, bringing together leading academics, industry experts and researchers, and offering them a venue to discuss, interact and collaborate in order to stimulate the advancement of mathematics and its industrial applications.
Book Synopsis ˜Theœ role of vector payoffs in repeated zero-sum games with incomplete information by : Martin Heuer
Download or read book ˜Theœ role of vector payoffs in repeated zero-sum games with incomplete information written by Martin Heuer and published by . This book was released on 1990 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 466 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.
