The Existence Of Equilibria In Non Zero Sum Non Cooperative Games
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The Existence Of Equilibria In Non Zero Sum Non Cooperative Games
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Author : Robert Samuel Simon
language : de
Publisher:
Release Date : 2002
The Existence Of Equilibria In Non Zero Sum Non Cooperative Games written by Robert Samuel Simon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Dynamic Noncooperative Game Theory
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Author : Tamer Basar
language : en
Publisher: SIAM
Release Date : 1999-01-01
Dynamic Noncooperative Game Theory written by Tamer Basar and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.
Recent interest in biological games and mathematical finance make this classic 1982 text a necessity once again. Unlike other books in the field, this text provides an overview of the analysis of dynamic/differential zero-sum and nonzero-sum games and simultaneously stresses the role of different information patterns. The first edition was fully revised in 1995, adding new topics such as randomized strategies, finite games with integrated decisions, and refinements of Nash equilibrium. Readers can now look forward to even more recent results in this unabridged, revised SIAM Classics edition. Topics covered include static and dynamic noncooperative game theory, with an emphasis on the interplay between dynamic information patterns and structural properties of several different types of equilibria; Nash and Stackelberg solution concepts; multi-act games; Braess paradox; differential games; the relationship between the existence of solutions of Riccati equations and the existence of Nash equilibrium solutions; and infinite-horizon differential games.
Some Results On The Existence Of Nash Equilibria For Non Zero Sum Games With Incomplete Information
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Author : Sylvain Sorin
language : en
Publisher:
Release Date : 1981
Some Results On The Existence Of Nash Equilibria For Non Zero Sum Games With Incomplete Information written by Sylvain Sorin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
Noncooperative Game Theory
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Author : João P. Hespanha
language : en
Publisher: Princeton University Press
Release Date : 2017-06-13
Noncooperative Game Theory written by João P. Hespanha and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-13 with Mathematics categories.
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
Repeated Games With Incomplete Information
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Author : Robert J. Aumann
language : en
Publisher: MIT Press
Release Date : 1995
Repeated Games With Incomplete Information written by Robert J. Aumann and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Business & Economics categories.
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.
On Existence Of A Nash Equilibrium Point In A N Person Non Zero Sum Stochastic Jump Differential Games
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Author : Birger Wernerfelt
language : en
Publisher:
Release Date : 1988
On Existence Of A Nash Equilibrium Point In A N Person Non Zero Sum Stochastic Jump Differential Games written by Birger Wernerfelt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Non Cooperative Game Theory
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Author : Takako Fujiwara-Greve
language : en
Publisher: Springer
Release Date : 2015-06-17
Non Cooperative Game Theory written by Takako Fujiwara-Greve and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-17 with Mathematics categories.
This is a textbook for university juniors, seniors, and graduate students majoring in economics, applied mathematics, and related fields. Each chapter is structured so that a core concept of that chapter is presented with motivations, useful applications are given, and related advanced topics are discussed for future study. Many helpful exercises at various levels are provided at the end of each chapter. Therefore, this book is most suitable for readers who intend to study non-cooperative game theory rigorously for both theoretical studies and applications. Game theory consists of non-cooperative games and cooperative games. This book covers only non-cooperative games, which are major tools used in current economics and related areas. Non-cooperative game theory aims to provide a mathematical prediction of strategic choices by decision makers (players) in situations of conflicting interest. Through the logical analyses of strategic choices, we obtain a better understanding of social (economic, business) problems and possible remedies. The book contains many well-known games such as the prisoner’s dilemma, chicken (hawk–dove) game, coordination game, centipede game, and Cournot, Bertrand, and Stackelberg models in oligopoly. It also covers some advanced frameworks such as repeated games with non-simultaneous moves, repeated games with overlapping generations, global games, and voluntarily separable repeated prisoner’s dilemma, so that readers familiar with basic game theory can expand their knowledge. The author’s own research is reflected in topics such as formulations of information and evolutionary stability, which makes this book unique.
Non Zero Sum Stopping Games In Discrete Time
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Author : Zhou Zhou
language : en
Publisher:
Release Date : 2015
Non Zero Sum Stopping Games In Discrete Time written by Zhou Zhou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
We consider two-player non-zero-sum stopping games in discrete time. Unlike Dynkin games, in our games the payoff of each player is revealed after both players stop. Moreover, each player can adjust her own stopping strategy according to the other player's action. In the first part of the paper, we consider the game where players act simultaneously at each stage. We show that there exists a Nash equilibrium in mixed stopping strategies. In the second part, we assume that one player has to act first at each stage. In this case, we show the existence of a Nash equilibrium in pure stopping strategies. Our results have a lot of applications, e.g., when companies choose times to enter the market, or when investors who both long and short American options choose times to exercise the options.
Handbook Of Dynamic Game Theory
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Author : Tamer Basar
language : en
Publisher:
Release Date : 19??
Handbook Of Dynamic Game Theory written by Tamer Basar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 19?? with Differential games categories.
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."
Nash Equilibria In Pure Strategies
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Author : Abderrahmane Ziad
language : en
Publisher:
Release Date : 2003
Nash Equilibria In Pure Strategies written by Abderrahmane Ziad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
We consider an n-person non-zero-sum non-cooperative game in normal form, where the strategy sets are some closed intervals of the real line. It is shown that if the pay-off functions are continuous on the whole space and if for each pay-off function the smallest local maximum in the strategy variable is a global maximum, then the game possesses a pure strategy Nash equilibrium.