Social and Economic Networks in Cooperative Game Theory
Social and Economic Networks in Cooperative Game Theory

Author: Marco Slikker

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 296

ISBN-13: 1461515696

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Social and Economic Networks in Cooperative Game Theory presents a coherent overview of theoretical literature that studies the influence and formation of networks in social and economic situations in which the relations between participants who are not included in a particular participant's network are not of consequence to this participant. The material is organized in two parts. In Part I the authors concentrate on the question how network structures affect economic outcomes. Part II of the book presents the formation of networks by agents who engage in a network-formation process to be able to realize the possible gains from cooperation.

Social and Economic Networks
Social and Economic Networks

Author: Matthew O. Jackson

Publisher: Princeton University Press

Published: 2010-11-01

Total Pages: 519

ISBN-13: 140083399X

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Networks of relationships help determine the careers that people choose, the jobs they obtain, the products they buy, and how they vote. The many aspects of our lives that are governed by social networks make it critical to understand how they impact behavior, which network structures are likely to emerge in a society, and why we organize ourselves as we do. In Social and Economic Networks, Matthew Jackson offers a comprehensive introduction to social and economic networks, drawing on the latest findings in economics, sociology, computer science, physics, and mathematics. He provides empirical background on networks and the regularities that they exhibit, and discusses random graph-based models and strategic models of network formation. He helps readers to understand behavior in networked societies, with a detailed analysis of learning and diffusion in networks, decision making by individuals who are influenced by their social neighbors, game theory and markets on networks, and a host of related subjects. Jackson also describes the varied statistical and modeling techniques used to analyze social networks. Each chapter includes exercises to aid students in their analysis of how networks function. This book is an indispensable resource for students and researchers in economics, mathematics, physics, sociology, and business.

The Cooperative Game Theory of Networks and Hierarchies
The Cooperative Game Theory of Networks and Hierarchies

Author: Robert P. Gilles

Publisher: Springer

Published: 2012-05-28

Total Pages: 270

ISBN-13: 9783642263156

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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.

Cooperative Game Theory Tools in Coalitional Control Networks
Cooperative Game Theory Tools in Coalitional Control Networks

Author: Francisco Javier Muros

Publisher: Springer

Published: 2019-04-24

Total Pages: 233

ISBN-13: 3030104893

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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.

Advances in Economic Design
Advances in Economic Design

Author: Murat R. Sertel

Publisher: Springer Science & Business Media

Published: 2003-04-15

Total Pages: 480

ISBN-13: 9783540002673

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Some of the finest and most recent research in economic and political design is presented. Among the authors are several prominent academics as well as many new and promising researchers. They investigate social choice and electoral systems, auctions, matching, bargaining, coalitional stability and efficiency, regulation, the design of rights, mechanisms, games, hierarchies and information. The book is bound to become a standard reference as a collection displaying where we are and where we are going in a broad spectrum of areas in economic design.

Partition Function Form Games
Partition Function Form Games

Author: László Á. Kóczy

Publisher: Springer

Published: 2018-04-13

Total Pages: 320

ISBN-13: 3319698419

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This book presents a systematic overview on partition function form games: a game form in cooperative game theory to integrate externalities for various applications. Cooperative game theory has been immensely useful to study a wide range of issues, but the standard approaches ignore the side effects of cooperation. Recently interest shifted to problems where externalities play the main roles such as models of cooperation in market competition or the shared use of public resources. Such problems require richer models that can explicitly evaluate the side-effects of cooperation. In partition function form games the value of cooperation depends on the outsiders' actions. A recent surge of interest driven by applications has made results very fragmented. This book offers an accessible, yet comprehensive and systematic study of properties, solutions and applications of partition function games surveying both theoretical results and their applications. It assembles a survey of existing research and smaller original results as well as original interpretations and comparisons. The book is self-contained and accessible for readers with little or no knowledge of cooperative game theory.

Chapters in Game Theory
Chapters in Game Theory

Author: Peter Borm

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 327

ISBN-13: 030647526X

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Chapters in Game Theory has been written on the occasion of the 65th birthday of Stef Tijs, who can be regarded as the godfather of game theory in the Netherlands. The contributors all are indebted to Stef Tijs, as former Ph.D. students or otherwise. The book contains fourteen chapters on a wide range of subjects. Some of these can be considered surveys while other chapters present new results: most contributions can be positioned somewhere in between these categories. The topics covered include: cooperative stochastic games; noncooperative stochastic games; sequencing games; games arising form linear (semi-) infinite programming problems; network formation, costs and potential games; potentials and consistency in transferable utility games; the nucleolus and equilibrium prices; population uncertainty and equilibrium selection; cost sharing; centrality in social networks; extreme points of the core; equilibrium sets of bimatrix games; game theory and the market; and transfer procedures for nontransferable utility games. Both editors did their Ph.D with Stef Tijs, while he was affiliated with the mathematics department of the University of Nijmegen.

A Game-Theoretic Perspective on Coalition Formation
A Game-Theoretic Perspective on Coalition Formation

Author: Debraj Ray

Publisher: Oxford University Press

Published: 2007-11

Total Pages: 336

ISBN-13: 019920795X

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Drawing upon and extending his inaugural Lipsey Lectures, Debraj Ray looks at coalition formation from the perspective of game theory. Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements.

The Cooperative Game Theory of Networks and Hierarchies
The Cooperative Game Theory of Networks and Hierarchies

Author: Robert P. Gilles

Publisher: Springer Science & Business Media

Published: 2010-04-02

Total Pages: 264

ISBN-13: 3642052827

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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.