N Person Game Theory
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N Person Game Theory
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Author : Anatol Rapoport
language : en
Publisher: Courier Corporation
Release Date : 2013-06-17
N Person Game Theory written by Anatol Rapoport and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-17 with Mathematics categories.
DIVSequel to Two-Person Game Theory introduces necessary mathematical notation (mainly set theory), presents basic concepts and models, and provides applications to social situations. /div
N Person Game Theory
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Author : Anatol Rapoport
language : en
Publisher: Courier Corporation
Release Date : 2001-01-01
N Person Game Theory written by Anatol Rapoport and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
N-person game theory provides a logical framework for analyzing contests in which there are more than two players or sets of conflicting interests-anything from a hand of poker to the tangled web of international relations. In this sequel to his Two-Person Game Theory, Dr. Rapoport provides a fascinating and lucid introduction to the theory, geared towards readers with little mathematical background but with an appetite for rigorous analysis. Following an introduction to the necessary mathematical notation (mainly set theory), in Part I the author presents basic concepts and models, including levels of game-theoretic analysis, individual and group rationality, the Von Neumann-Morgenstern solution, the Shapley value, the bargaining set, the kernel, restrictions on realignments, games in partition function form, and Harsanyi's bargaining model. In Part II he delves into the theory's social applications, including small markets, large markets, simple games and legislatures, symmetric and quota games, coalitions and power, and more. This affordable new edition will be welcomed by economists, political scientists, historians, and anyone interested in multilateral negotiations or conflicts, as well as by general readers with an interest in mathematics, logic, or games.
Theory Of Games And Economic Behavior
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Author : John Von Neumann
language : en
Publisher: Diana
Release Date : 2020-01-29
Theory Of Games And Economic Behavior written by John Von Neumann and has been published by Diana this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-29 with Games & Activities categories.
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.
Twenty Lectures On Algorithmic Game Theory
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Author : Tim Roughgarden
language : en
Publisher: Cambridge University Press
Release Date : 2016-09-01
Twenty Lectures On Algorithmic Game Theory written by Tim Roughgarden 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 2016-09-01 with Computers categories.
Computer science and economics have engaged in a lively interaction over the past fifteen years, resulting in the new field of algorithmic game theory. Many problems that are central to modern computer science, ranging from resource allocation in large networks to online advertising, involve interactions between multiple self-interested parties. Economics and game theory offer a host of useful models and definitions to reason about such problems. The flow of ideas also travels in the other direction, and concepts from computer science are increasingly important in economics. This book grew out of the author's Stanford University course on algorithmic game theory, and aims to give students and other newcomers a quick and accessible introduction to many of the most important concepts in the field. The book also includes case studies on online advertising, wireless spectrum auctions, kidney exchange, and network management.
Game Theory As A Theory Of Conflict Resolution
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Author : Anatol Rapoport
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Game Theory As A Theory Of Conflict Resolution written by Anatol Rapoport 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 Social Science categories.
Game theory could be formally defined as a theory of rational decision in conflict situations. Models of such situations, as they are conceived in game theory, involve (1) a set of decision makers, called players; (2) a set of strategies available to each player; (3) a set of outcomes, each of which is a result of particular choices of strategies made by the players on a given play of the game; and (4) a set of payoffs accorded to each player in each of the possible outcomes. It is assumed that each player is 'individually rational', in the sense that his preference ordering of the outcomes is determined by the order of magnitudes of his (and only his) associated payoffs. Further, a player is rational in the sense that he assumes that every other player is rational in the above sense. The rational player utilizes knowledge of the other players' payoffs in guiding his choice of strategy, because it gives him information about how the other players' choices are guided. Since, in general, the orders of magnitude of the payoffs that accrue to the several players in the several outcomes do not coincide, a game of strategy is a model of a situation involving conflicts of interests.
Cooperative Game Theory And Applications
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Author : Imma Curiel
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-03-31
Cooperative Game Theory And Applications written by Imma Curiel 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 1997-03-31 with Business & Economics categories.
In this book applications of cooperative game theory that arise from combinatorial optimization problems are described. It is well known that the mathematical modeling of various real-world decision-making situations gives rise to combinatorial optimization problems. For situations where more than one decision-maker is involved classical combinatorial optimization theory does not suffice and it is here that cooperative game theory can make an important contribution. If a group of decision-makers decide to undertake a project together in order to increase the total revenue or decrease the total costs, they face two problems. The first one is how to execute the project in an optimal way so as to increase revenue. The second one is how to divide the revenue attained among the participants. It is with this second problem that cooperative game theory can help. The solution concepts from cooperative game theory can be applied to arrive at revenue allocation schemes. In this book the type of problems described above are examined. Although the choice of topics is application-driven, it also discusses theoretical questions that arise from the situations that are studied. For all the games described attention will be paid to the appropriateness of several game-theoretic solution concepts in the particular contexts that are considered. The computation complexity of the game-theoretic solution concepts in the situation at hand will also be considered.
Game Theory
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Author : Steven Tadelis
language : en
Publisher: Princeton University Press
Release Date : 2013-01-10
Game Theory written by Steven Tadelis 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 2013-01-10 with Business & Economics categories.
The definitive introduction to game theory This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with complete information, Bayesian games, and extensive form games with imperfect information. He covers a host of topics, including multistage and repeated games, bargaining theory, auctions, rent-seeking games, mechanism design, signaling games, reputation building, and information transmission games. Unlike other books on game theory, this one begins with the idea of rationality and explores its implications for multiperson decision problems through concepts like dominated strategies and rationalizability. Only then does it present the subject of Nash equilibrium and its derivatives. Game Theory is the ideal textbook for advanced undergraduate and beginning graduate students. Throughout, concepts and methods are explained using real-world examples backed by precise analytic material. The book features many important applications to economics and political science, as well as numerous exercises that focus on how to formalize informal situations and then analyze them. Introduces the core ideas and applications of game theory Covers static and dynamic games, with complete and incomplete information Features a variety of examples, applications, and exercises Topics include repeated games, bargaining, auctions, signaling, reputation, and information transmission Ideal for advanced undergraduate and beginning graduate students Complete solutions available to teachers and selected solutions available to students
Game Theory
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Author : Frank C. Zagare
language : en
Publisher: SAGE
Release Date : 1984-07
Game Theory written by Frank C. Zagare and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-07 with Mathematics categories.
This volume demonstrates the applicability of game-theoretic models and explores zero-sum games, the fundamental Minimax Theory, nonzero-sum games, and n-person games.
Game Theory And Its Applications In The Social And Biological Sciences
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Author : Andrew M. Colman
language : en
Publisher: Psychology Press
Release Date : 1995
Game Theory And Its Applications In The Social And Biological Sciences written by Andrew M. Colman and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Business & Economics categories.
First Published in 1995. Routledge is an imprint of Taylor & Francis, an informa company.
Game Theory Topics
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Author : Evelyn C. Fink
language : en
Publisher: SAGE
Release Date : 1998-05-26
Game Theory Topics written by Evelyn C. Fink and has been published by SAGE this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-26 with Mathematics categories.
Game theory, particularly the use of repeated games, N-person games, and incomplete information games have been popular research techniques in political science, sociology, and managementùbut difficult for new social researchers to useùuntil now. Aimed at making these topics accessible to all social scientist, Game Theory Topics shows how game theory can be productively applied to problems in the social sciences. Using a common social science gameùChickenùto illustrate game theory concepts, the authors introduce readers to games of incomplete information; how to build uncertainty into game theoretic models; the concept of Bayesian Nash equilibrium; and the role of repetition in game theory, including how game theoretic models can easily accommodate many players. Throughout the book, the authors use applications to social science problems to illustrate the points being developed in each chapter.