A Course On Cooperative Game Theory
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A Course On Cooperative Game Theory
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Author : Satya R. Chakravarty
language : en
Publisher: Cambridge University Press
Release Date : 2015-02-09
A Course On Cooperative Game Theory written by Satya R. Chakravarty 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 2015-02-09 with Business & Economics categories.
"Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--
Cooperative Game Theory And Applications
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Author : Imma Curiel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
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 2013-03-14 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 : Michael Maschler
language : en
Publisher: Cambridge University Press
Release Date : 2020-06-25
Game Theory written by Michael Maschler 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 2020-06-25 with Business & Economics categories.
This new edition is unparalleled in breadth of coverage, thoroughness of technical explanations and number of worked examples.
Game Theory
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Author : Hans Peters
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-15
Game Theory written by Hans Peters 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 2008-08-15 with Business & Economics categories.
This book presents the basics of game theory both on an undergraduate level and on a more advanced mathematical level. It covers topics of interest in game theory, including cooperative game theory. Every chapter includes a problem section.
An Introductory Course On Mathematical Game Theory
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Author : Julio González-Díaz
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
An Introductory Course On Mathematical Game Theory written by Julio González-Díaz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
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. It provides a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated with abundant examples, applications, and exercises.
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
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.
Game Theory
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Author : Aviad Heifetz
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-31
Game Theory written by Aviad Heifetz 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 2012-05-31 with Business & Economics categories.
A guide to the fundamentals of game theory for undergraduates and MBA students.
Computational Aspects Of Cooperative Game Theory
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Author : Georgios Chalkiadakis
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Computational Aspects Of Cooperative Game Theory written by Georgios Chalkiadakis and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Computers categories.
Cooperative game theory is a branch of (micro-)economics that studies the behavior of self-interested agents in strategic settings where binding agreements among agents are possible. Our aim in this book is to present a survey of work on the computational aspects of cooperative game theory. We begin by formally defining transferable utility games in characteristic function form, and introducing key solution concepts such as the core and the Shapley value. We then discuss two major issues that arise when considering such games from a computational perspective: identifying compact representations for games, and the closely related problem of efficiently computing solution concepts for games. We survey several formalisms for cooperative games that have been proposed in the literature, including, for example, cooperative games defined on networks, as well as general compact representation schemes such as MC-nets and skill games. As a detailed case study, we consider weighted voting games: a widely-used and practically important class of cooperative games that inherently have a natural compact representation. We investigate the complexity of solution concepts for such games, and generalizations of them. We briefly discuss games with non-transferable utility and partition function games. We then overview algorithms for identifying welfare-maximizing coalition structures and methods used by rational agents to form coalitions (even under uncertainty), including bargaining algorithms. We conclude by considering some developing topics, applications, and future research directions.
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 Computers 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