Computational Aspects Of Cooperative Game Theory

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Computational Aspects of Cooperative Game Theory

Georgios Chalkiadakis,Edith Elkind,Michael J. Wooldridge
Computational Aspects of Cooperative Game Theory Book PDF

Author : Georgios Chalkiadakis,Edith Elkind,Michael J. Wooldridge
Publisher : Morgan & Claypool Publishers
Page : 171 pages
File Size : 55,6 Mb
Release : 2012
Category : Computers
ISBN : 9781608456529

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Computational Aspects of Cooperative Game Theory by Georgios Chalkiadakis,Edith Elkind,Michael J. Wooldridge Pdf

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.

Computational Aspects of Cooperative Game Theory

Georgios Raedt,Edith Kersting
Computational Aspects of Cooperative Game Theory Book PDF

Author : Georgios Raedt,Edith Kersting
Publisher : Springer Nature
Page : 150 pages
File Size : 44,5 Mb
Release : 2022-05-31
Category : Computers
ISBN : 9783031015588

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Computational Aspects of Cooperative Game Theory by Georgios Raedt,Edith Kersting Pdf

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.

Cooperative Game Theory and Applications

Imma Curiel
Cooperative Game Theory and Applications Book PDF

Author : Imma Curiel
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 48,5 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.

Cooperative Game Theory Tools in Coalitional Control Networks

Francisco Javier Muros
Cooperative Game Theory Tools in Coalitional Control Networks Book PDF

Author : Francisco Javier Muros
Publisher : Springer
Page : 233 pages
File Size : 52,7 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.

Value Solutions in Cooperative Games

Roger A McCain
Value Solutions in Cooperative Games Book PDF

Author : Roger A McCain
Publisher : World Scientific
Page : 236 pages
File Size : 55,5 Mb
Release : 2013-03-07
Category : Business & Economics
ISBN : 9789814417419

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Value Solutions in Cooperative Games by Roger A McCain Pdf

This book introduces new concepts for cooperative game theory, and particularly solutions that determine the distribution of a coalitional surplus among the members of the coalition. It also addresses several generalizations of cooperative game theory. Drawing on methods of welfare economics, new value solutions are derived for Non-Transferable Utility games with and without differences of bargaining power among the members of the coalition. Cooperation in intertemporal games is examined, and conditions that permit the reduction of these games to games in coalition function form are outlined. Biform games and games that combine non-cooperative search and matching of coalition members with cooperative solutions (i.e., efficient contracts) within the coalition are considered. Contents:Value Solutions for Superadditive Transferable Utility Games in Coalition Function FormZeuthen–Nash BargainingNontransferable Utility Games and Games in Partition Function FormA Shapley Value Algorithm for Games in Partition Function FormExtension of the Nucleolus to Nontransferable Utility Games in Partition Function FormA Core Imputation with Variable Bargaining PowerBargaining Power Biform GamesIntertemporal Cooperative Games: A Sketch of a TheoryA Theory of Enterprise Readership: Graduate students and researchers in the field of game theory. Keywords:Cooperative Games;Value;Imputation;Bargaining TheoryKey Features:Proposes a value solution for games of two or more players that: (i) is the Nash bargaining solution in a special case, (ii) allows for unsymmetrical bargaining power, (iii) allows for group-to-group bargaining, and (iv) is always a point in the core of the game if the game is not nullUses methods from mathematical welfare economics to bridge the gap from non-transferable utility to transferable utilityRelying on Biform Games (Brandenburger and Stuart), constructs a model of cooperative value creation in coalitions formed by non-cooperative search and matching

Economics and Computation

Jörg Rothe
Economics and Computation Book PDF

Author : Jörg Rothe
Publisher : Springer
Page : 612 pages
File Size : 54,5 Mb
Release : 2015-08-18
Category : Business & Economics
ISBN : 9783662479049

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Economics and Computation by Jörg Rothe Pdf

This textbook connects three vibrant areas at the interface between economics and computer science: algorithmic game theory, computational social choice, and fair division. It thus offers an interdisciplinary treatment of collective decision making from an economic and computational perspective. Part I introduces to algorithmic game theory, focusing on both noncooperative and cooperative game theory. Part II introduces to computational social choice, focusing on both preference aggregation (voting) and judgment aggregation. Part III introduces to fair division, focusing on the division of both a single divisible resource ("cake-cutting") and multiple indivisible and unshareable resources ("multiagent resource allocation"). In all these parts, much weight is given to the algorithmic and complexity-theoretic aspects of problems arising in these areas, and the interconnections between the three parts are of central interest.

Essay in Cooperative Games

Gianfranco Gambarelli
Essay in Cooperative Games Book PDF

Author : Gianfranco Gambarelli
Publisher : Springer Science & Business Media
Page : 241 pages
File Size : 54,5 Mb
Release : 2013-06-05
Category : Business & Economics
ISBN : 9781402029363

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Essay in Cooperative Games by Gianfranco Gambarelli Pdf

Essays on Cooperative Games collates selected contributions on Cooperative Games. The papers cover both theoretical aspects (Coalition Formation, Values, Simple Games and Dynamic Games) and applied aspects (in Finance, Production, Transportation and Market Games). A contribution on Minimax Theorem (by Ken Binmore) and a brief history of early Game Theory (by Gianfranco Gambarelli and Guillermo Owen) are also enclosed.

Cooperative Games on Combinatorial Structures

Jesús Mario Bilbao
Cooperative Games on Combinatorial Structures Book PDF

Author : Jesús Mario Bilbao
Publisher : Springer Science & Business Media
Page : 329 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9781461543930

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Cooperative Games on Combinatorial Structures by Jesús Mario Bilbao Pdf

The aim of Cooperative Games on Combinatorial Structures is to analyze conflict situations in which two or more players can make coalitions and obtain prizes and penalties. This approach to situations of competition and cooperation was given in the seminal treatise by John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior. Cooperative game theory has succeeded in providing many applications of game theory. In this volume, games defined on combinatorial structures will be analyzed, i.e. a set system over a set of players. In many situations the author will work in a closure space. Examples of closure operators are the spanning operator of linear algebra and all convex hull operators. Chapters 1-4 constitute a review of mathematical concepts from Cooperative Game Theory, Graph Theory, Linear and Integer Programming, Combinatorial Optimization, Discrete Convex Analysis and Computational Complexity. The table of contents is a short guide to the topics and methods covered in this book. In Chapters 11 and 12, several notebooks are presented with the system Mathematica by Wolfram in the contexts of the packages DiscreteMath (Skiena) and Cooperative (Carter). There will also be found in the book several research projects. These are intended to offer new ideas that the reader should consider with caution. This book will be of interest to graduate students with some experience in game theory or mathematical programming and professional researchers in game theory, operational research and its applications in economic theory, and the political and social sciences. In addition, it will be especially useful for professionals who are interested in models for understanding and managing conflicts: management and operational research scientists, political and military scientists, and professional negotiators.

Introduction to the Theory of Cooperative Games

Bezalel Peleg,Peter Sudhölter
Introduction to the Theory of Cooperative Games Book PDF

Author : Bezalel Peleg,Peter Sudhölter
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 52,8 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.

Game Theory

A. J. Jones
Game Theory Book PDF

Author : A. J. Jones
Publisher : Horwood Publishing
Page : 304 pages
File Size : 47,6 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.

A Course on Cooperative Game Theory

Satya R. Chakravarty,Manipushpak Mitra,Palash Sarkar
A Course on Cooperative Game Theory Book PDF

Author : Satya R. Chakravarty,Manipushpak Mitra,Palash Sarkar
Publisher : Cambridge University Press
Page : 277 pages
File Size : 43,8 Mb
Release : 2015-02-09
Category : Business & Economics
ISBN : 9781107058798

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A Course on Cooperative Game Theory by Satya R. Chakravarty,Manipushpak Mitra,Palash Sarkar Pdf

"Deals with real life situations where objectives of the participants are partially cooperative and partially conflicting"--

Game Theory

A. J. Jones
Game Theory Book PDF

Author : A. J. Jones
Publisher : Elsevier
Page : 307 pages
File Size : 45,6 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

Models in Cooperative Game Theory

Rodica Branzei,Dinko Dimitrov,Stef Tijs
Models in Cooperative Game Theory Book PDF

Author : Rodica Branzei,Dinko Dimitrov,Stef Tijs
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 55,7 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.

Algorithmic Game Theory

Berthold Vöcking
Algorithmic Game Theory Book PDF

Author : Berthold Vöcking
Publisher : Springer
Page : 280 pages
File Size : 46,7 Mb
Release : 2013-10-09
Category : Computers
ISBN : 9783642413926

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Algorithmic Game Theory by Berthold Vöcking Pdf

This book constitutes the proceedings of the 6th International Symposium on Algorithmic Game Theory, SAGT 2013, held in Aachen, Germany, in October 2013. The 25 papers presented in this volume were carefully reviewed and selected from 65 submissions. They cover various important aspects of algorithmic game theory, such as solution concepts in game theory, efficiency of equilibria and the price of anarchy, computational aspects of equilibria and game theoretical measures, repeated games and convergence of dynamics, evolution and learning in games, coordination and collective action, network games and graph-theoretic aspects of social networks, voting and social choice, as well as algorithmic mechanism design.

Algorithmic Game Theory

Maria Serna
Algorithmic Game Theory Book PDF

Author : Maria Serna
Publisher : Springer
Page : 263 pages
File Size : 41,9 Mb
Release : 2012-10-06
Category : Computers
ISBN : 9783642339967

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Algorithmic Game Theory by Maria Serna Pdf

This book constitutes the refereed proceedings of the 5th International Symposium on Algorithmic Game Theory, SAGT 2012, held in Barcelona, Spain, in October 2012. The 22 revised full papers presented together with 2 invited lectures were carefully reviewed and selected from 65 submissions. The papers present original research at the intersection of Algorithms and Game Theory and address various current topics such as solution concepts in game theory; efficiency of equilibria and price of anarchy; complexity classes in game theory; computational aspects of equilibria; computational aspects of fixed-point theorems; repeated games; evolution and learning in games; convergence of dynamics; coalitions, coordination and collective action; reputation, recommendation and trust systems; graph-theoretic aspects of social networks; network games; cost-sharing algorithms and analysis; computing with incentives; algorithmic mechanism design; computational social choice; decision theory, and pricing; auction algorithms and analysis; economic aspects of distributed computing; internet economics and computational advertising.