Models In Cooperative Game Theory

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Models in Cooperative Game Theory

Author : Rodica Branzei,Dinko Dimitrov,Stef Tijs
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 43,8 Mb
Release : 2008-03-08
Category : Business & Economics
ISBN : 9783540779544

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Models in Cooperative Game Theory by Rodica Branzei,Dinko Dimitrov,Stef Tijs Pdf

Cooperative game theory is a booming research area with many new developments in the last few years. So, our main purpose when prep- ing the second edition was to incorporate as much of these new dev- opments as possible without changing the structure of the book. First, this o?ered us the opportunity to enhance and expand the treatment of traditional cooperative games, called here crisp games, and, especially, that of multi-choice games, in the idea to make the three parts of the monograph more balanced. Second, we have used the opportunity of a secondeditiontoupdateandenlargethelistofreferencesregardingthe threemodels of cooperative games. Finally, we have bene?ted fromthis opportunity by removing typos and a few less important results from the ?rst edition of the book, and by slightly polishing the English style and the punctuation, for the sake of consistency along the monograph. The main changes are: (1) Chapter 3 contains an additional section, Section 3. 3, on the - erage lexicographic value, which is a recent one-point solution concept de?ned on the class of balanced crisp games. (2) Chapter 4 is new. It o?ers a brief overview on solution c- cepts for crisp games from the point of view of egalitarian criteria, and presents in Section 4. 2 a recent set-valued solution concept based on egalitarian considerations, namely the equal split-o? set. (3)Chapter5isbasicallyanenlargedversionofChapter4ofthe?rst edition because Section 5. 4 dealing with the relation between convex games and clan games with crisp coalitions is new.

The Cooperative Game Theory of Networks and Hierarchies

Author : Robert P. Gilles
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 55,5 Mb
Release : 2010-04-02
Category : Mathematics
ISBN : 9783642052828

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The Cooperative Game Theory of Networks and Hierarchies by Robert P. Gilles Pdf

The book brings together an overview of standard concepts in cooperative game theory with applications to the analysis of social networks and hierarchical authority organizations. The standard concepts covered include the multi-linear extension, the Core, the Shapley value, and the cooperative potential. Also discussed are the Core for a restricted collection of formable coalitions, various Core covers, the Myerson value, value-based potentials, and share potentials. Within the context of social networks this book discusses the measurement of centrality and power as well as allocation rules such as the Myerson value and hierarchical allocation rules. For hierarchical organizations, two basic approaches to the exercise of authority are explored; for each approach the allocation of the generated output is developed. Each chapter is accompanied by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory.

Introduction to the Theory of Cooperative Games

Author : Bezalel Peleg,Peter Sudhölter
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 55,7 Mb
Release : 2007-08-15
Category : Business & Economics
ISBN : 9783540729457

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Introduction to the Theory of Cooperative Games by Bezalel Peleg,Peter Sudhölter Pdf

This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games as well as the core, the Shapley value, and the ordinal bargaining set of NTU games. The authors devote a separate chapter to each solution, wherein they study its properties in full detail. In addition, important variants are defined or even intensively analyzed.

Cooperative Game Theory and Applications

Author : Imma Curiel
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 45,5 Mb
Release : 2013-03-14
Category : Business & Economics
ISBN : 9781475748710

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Cooperative Game Theory and Applications by Imma Curiel Pdf

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

Author : Dario Bauso
Publisher : Now Publishers
Page : 166 pages
File Size : 50,5 Mb
Release : 2014-10-06
Category : Mathematics
ISBN : 1601989083

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Game Theory by Dario Bauso Pdf

This is the first tutorial to give such a concise and accessible introduction to game theory. It will be of use to all students, practitioners, and researchers looking to understand the basic concepts, models, and applications.

Spatial Interaction Models

Author : Lina Mallozzi,Egidio D'Amato,Panos M. Pardalos
Publisher : Springer
Page : 327 pages
File Size : 53,9 Mb
Release : 2017-04-04
Category : Business & Economics
ISBN : 9783319526546

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Spatial Interaction Models by Lina Mallozzi,Egidio D'Amato,Panos M. Pardalos Pdf

Facility location theory develops the idea of locating one or more facilities by optimizing suitable criteria such as minimizing transportation cost, or capturing the largest market share. The contributions in this book focus an approach to facility location theory through game theoretical tools highlighting situations where a location decision is faced by several decision makers and leading to a game theoretical framework in non-cooperative and cooperative methods. Models and methods regarding the facility location via game theory are explored and applications are illustrated through economics, engineering, and physics. Mathematicians, engineers, economists and computer scientists working in theory, applications and computational aspects of facility location problems using game theory will find this book useful.

Cooperative Games, Solutions and Applications

Author : Theo S. H. Driessen
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 45,7 Mb
Release : 2013-03-09
Category : Business & Economics
ISBN : 9789401577878

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Cooperative Games, Solutions and Applications by Theo S. H. Driessen Pdf

The study of the theory of games was started in Von Neumann (1928), but the development of the theory of games was accelerated after the publication of the classical book "Theory of games and economic behavior" by Von Neumann and Morgenstern (1944). As an initial step, the theory of games aims to put situations of conflict and cooperation into mathematical models. In the second and final step, the resulting models are analysed on the basis of equitable and mathematical reasonings. The conflict and/or cooperative situation in question is generally due to the interaction between two or more individuals (players). Their interaction may lead up to several potential payoffs over which each player has his own preferences. Any player attempts to achieve his largest possible payoff, but the other players may also exert their influence on the realization of some potential payoff. As already mentioned, the theory of games consists of two parts, a modelling part and a solution part. Concerning the modelling part, the mathematical models of conflict and cooperative situations are described. The description of the models includes the rules, the strategy space of any player, potential payoffs to the players, the preferences of each player over the set of all potential payoffs, etc. According to the rules, it is either permitted or forbidden that the players communicate with one another in order to make binding agreements regarding their mutual actions.

Cooperative Game Theory Tools in Coalitional Control Networks

Author : Francisco Javier Muros
Publisher : Springer
Page : 233 pages
File Size : 53,7 Mb
Release : 2019-04-24
Category : Technology & Engineering
ISBN : 9783030104894

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Cooperative Game Theory Tools in Coalitional Control Networks by Francisco Javier Muros Pdf

This book analyzes coalitional control schemes by incorporating concepts of cooperative game theory into a distributed control framework. It considers a networked architecture where the nodes are the agents and the edges are their communication links and either the agents or the links are established as the players of cooperative games related to the cost function of the coalitional schemes. The book discusses various cooperative game theory tools that are used to measure/analyze the players’ features, impose constraints on them, provide alternative methods of game computation, detect critical players inside the control scheme, and perform system partitioning of large-scale systems, such as the Barcelona drinking water network, which is described in a case study.

Game Theory and Economic Modelling

Author : David M. Kreps
Publisher : Oxford University Press
Page : 204 pages
File Size : 48,7 Mb
Release : 1990
Category : Mathematics
ISBN : 9780198283812

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Game Theory and Economic Modelling by David M. Kreps Pdf

Comprises lectures given at Tel Aviv University and Oxford University in 1990.

Game Theory

Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 46,8 Mb
Release : 2000-12
Category : Mathematics
ISBN : 1898563144

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Game Theory by A. J. Jones Pdf

This modern, still relevant text is suitable for senior undergraduate and graduate students, teachers and professionals in mathematics, operational research, economics, sociology; and psychology, defence and strategic studies, and war games. Engagingly written with agreeable humor, the book can also be understood by non-mathematicians. It shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ''first class'' account of linear programming, theory and practice. The text is self-contained with comprehensive source references. Based on a series of lectures given by the author in the theory of games at Royal Holloway College, it gives unusually comprehensive but concise treatment of co-operative games, an original account of bargaining models, with a skilfully guided tour through the Shapely and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies.

An Introduction to Game-Theoretic Modelling

Author : Michael Mesterton-Gibbons,Mike Mesterton-Gibbons
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 43,6 Mb
Release : 2001
Category : Game theory
ISBN : 9780821819296

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An Introduction to Game-Theoretic Modelling by Michael Mesterton-Gibbons,Mike Mesterton-Gibbons Pdf

This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.

Non-Cooperative Game Theory

Author : Takako Fujiwara-Greve
Publisher : Springer
Page : 260 pages
File Size : 54,5 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 9784431556459

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Non-Cooperative Game Theory by Takako Fujiwara-Greve Pdf

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.

Game-Theoretic Models of Bargaining

Author : National science foundation (États-Unis).,University of Pittsburgh
Publisher : Cambridge University Press
Page : 402 pages
File Size : 53,6 Mb
Release : 1985-11-29
Category : Business & Economics
ISBN : 9780521267571

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Game-Theoretic Models of Bargaining by National science foundation (États-Unis).,University of Pittsburgh Pdf

This book provides a comprehensive picture of the new developments in bargaining theory.

The Evolution of Cooperation

Author : Robert Axelrod
Publisher : Basic Books
Page : 304 pages
File Size : 48,7 Mb
Release : 2009-04-29
Category : Business & Economics
ISBN : 9780786734887

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The Evolution of Cooperation by Robert Axelrod Pdf

A famed political scientist's classic argument for a more cooperative world We assume that, in a world ruled by natural selection, selfishness pays. So why cooperate? In The Evolution of Cooperation, political scientist Robert Axelrod seeks to answer this question. In 1980, he organized the famed Computer Prisoners Dilemma Tournament, which sought to find the optimal strategy for survival in a particular game. Over and over, the simplest strategy, a cooperative program called Tit for Tat, shut out the competition. In other words, cooperation, not unfettered competition, turns out to be our best chance for survival. A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.

Game Theory

Author : A. J. Jones
Publisher : Elsevier
Page : 307 pages
File Size : 55,6 Mb
Release : 2000-12-01
Category : Mathematics
ISBN : 9780857099693

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Game Theory by A. J. Jones Pdf

Written engagingly and with agreeable humour, this book balances a light touch with a rigorous yet economical account of the theory of games and bargaining models. It provides a precise interpretation, discussion and mathematical analysis for a wide range of “game-like problems in economics, sociology, strategic studies and war. There is first an informal introduction to game theory, which can be understood by non-mathematicians, which covers the basic ideas of extensive form, pure and mixed strategies and the minimax theorem. The general theory of non-cooperative games is then given a detailed mathematical treatment in the second chapter. Next follows a “first class account of linear programming, theory and practice, terse, rigorous and readable, which is applied as a tool to matrix games and economics from duality theory via the equilibrium theorem, with detailed explanations of computational aspects of the simplex algorithm. The remaining chapters give an unusually comprehensive but concise treatment of cooperative games, an original account of bargaining models, with a skillfully guided tour through the Shapley and Nash solutions for bimatrix games and a carefully illustrated account of finding the best threat strategies. Balances a light touch with a rigorous yet economical account of the theory of games and bargaining models Shows basic ideas of extensive form, pure and mixed strategies, the minimax theorem, non-cooperative and co-operative games, and a ‘‘first class’’ account of linear programming, theory and practice Based on a series of lectures given by the author in the theory of games at Royal Holloway College