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Classics In Game Theory


Classics In Game Theory
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Classics In Game Theory


Classics In Game Theory
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Author : Harold William Kuhn
language : en
Publisher: Princeton University Press
Release Date : 2020-11-10

Classics In Game Theory written by Harold William Kuhn 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 2020-11-10 with Business & Economics categories.


Classics in Game Theory assembles in one sourcebook the basic contributions to the field that followed on the publication of Theory of Games and Economic Behavior by John von Neumann and Oskar Morgenstern (Princeton, 1944). The theory of games, first given a rigorous formulation by von Neumann in a in 1928, is a subfield of mathematics and economics that models situations in which individuals compete and cooperate with each other. In the "heroic era" of research that began in the late 1940s, the foundations of the current theory were laid; it is these fundamental contributions that are collected in this volume. In the last fifteen years, game theory has become the dominant model in economic theory and has made significant contributions to political science, biology, and international security studies. The central role of game theory in economic theory was recognized by the award of the Nobel Memorial Prize in Economic Science in 1994 to the pioneering game theorists John C. Harsanyi, John Nash, and Reinhard Selten. The fundamental works for which they were honored are all included in this volume. Harold Kuhn, himself a major contributor to game theory for his reformulation of extensive games, has chosen eighteen essays that constitute the core of game theory as it exists today. Drawn from a variety of sources, they will be an invaluable tool for researchers in game theory and for a broad group of students of economics, political science, and biology.



Dynamic Noncooperative Game Theory


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.



Lectures On The Theory Of Games Am 37


Lectures On The Theory Of Games Am 37
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Author : Harold W. Kuhn
language : en
Publisher: Princeton University Press
Release Date : 2009-04-11

Lectures On The Theory Of Games Am 37 written by Harold W. Kuhn 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 2009-04-11 with Mathematics categories.


This book is a spectacular introduction to the modern mathematical discipline known as the Theory of Games. Harold Kuhn first presented these lectures at Princeton University in 1952. They succinctly convey the essence of the theory, in part through the prism of the most exciting developments at its frontiers half a century ago. Kuhn devotes considerable space to topics that, while not strictly the subject matter of game theory, are firmly bound to it. These are taken mainly from the geometry of convex sets and the theory of probability distributions. The book opens by addressing "matrix games," a name first introduced in these lectures as an abbreviation for two-person, zero-sum games in normal form with a finite number of pure strategies. It continues with a treatment of games in extensive form, using a model introduced by the author in 1950 that quickly supplanted von Neumann and Morgenstern's cumbersome approach. A final section deals with games that have an infinite number of pure strategies for the two players. Throughout, the theory is generously illustrated with examples, and exercises test the reader's understanding. A historical note caps off each chapter. For readers familiar with the calculus and with elementary matrix theory or vector analysis, this book offers an indispensable store of vital insights on a subject whose importance has only grown with the years.



Classics In Game Theory


Classics In Game Theory
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Author : Harold William Kuhn
language : en
Publisher: Princeton University Press
Release Date : 1997-02-06

Classics In Game Theory written by Harold William Kuhn 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 1997-02-06 with Business & Economics categories.


A subfield of mathematics and economics, the theory of games simulates situations in which individuals compete and cooperate with each other to hypothesize a conclusion. The contributions collected here are "classics" from the groundbreaking era of research launched in the late 1940s. These 18 essays constitute the core of game theory as it exists today. An invaluable tool for researchers and students of the sciences.



Advances In Game Theory Am 52 Volume 52


Advances In Game Theory Am 52 Volume 52
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Author : Melvin Dresher
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02

Advances In Game Theory Am 52 Volume 52 written by Melvin Dresher 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 2016-03-02 with Mathematics categories.


The description for this book, Advances in Game Theory. (AM-52), Volume 52, will be forthcoming.



An Introductory Course On Mathematical Game Theory


An Introductory Course On Mathematical Game Theory
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Author : Julio González-Díaz
language : en
Publisher: American Mathematical Society
Release Date : 2021-10-22

An Introductory Course On Mathematical Game Theory written by Julio González-Díaz and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-22 with Mathematics categories.


Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.



Theory Of Games And Economic Behavior


Theory Of Games And Economic Behavior
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Author : John Von Neumann
language : en
Publisher:
Release Date : 2003-01

Theory Of Games And Economic Behavior written by John Von Neumann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01 with categories.


This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, 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.



Lectures On Game Theory


Lectures On Game Theory
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Author : Robert J. Aumann
language : en
Publisher: CRC Press
Release Date : 1989

Lectures On Game Theory written by Robert J. Aumann and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Business & Economics categories.




Game Theory And Economic Behaviour


Game Theory And Economic Behaviour
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Author : Reinhard Selten (Economist, Germany)
language : en
Publisher: Edward Elgar Publishing
Release Date : 1999-03-24

Game Theory And Economic Behaviour written by Reinhard Selten (Economist, Germany) and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-03-24 with categories.


'These two volumes constitute an impressive collection of selected path-breaking works of Professor Selten. . . . Edward Elgar Publications deserve merit for bringing out most frequently-cited and prominent articles of Professor Selten in a conveniently available package.' - K. Ravikumar, Journal of Scientific and Industrial Research In 1994, the Nobel Prize was awarded to Reinhard Selten, John Nash and John Harsanyi, for pioneering analysis in game theory. Selten was the first to refine the Nash equilibrium concept of non-cooperative games for analysing dynamic strategic interaction and to apply these concepts to analyses of oligopoly.



Introducing Game Theory And Its Applications


Introducing Game Theory And Its Applications
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Author : Elliott Mendelson
language : en
Publisher: CRC Press
Release Date : 2024-08-02

Introducing Game Theory And Its Applications written by Elliott Mendelson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-02 with Mathematics categories.


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.