The Cooperative Game Theory of Networks
โ Robert P. Gilles (auth.)
๐ Library
๐
2010
๐ Springer
๐ English
โฆ LIBER โฆ
๐
The Cooperative Game Theory of Networks and Hierarchies
โ Scribed by Robert P. Gilles
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Leaves
- 268
- Series
- Theory and Decision Library C: 44
- Category
- Library
โฌ Acquire This Volume
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Table of Contents
Front Matter....Pages i-xi
Cooperative Game Theory....Pages 1-27
The Core of a Cooperative Game....Pages 29-70
Axiomatic Value Theory....Pages 71-106
The Cooperative Potential....Pages 107-142
Directed Communication Networks....Pages 143-187
Cooperative Theories of Hierarchical Organizations....Pages 189-243
Back Matter....Pages 245-255
โฆ Subjects
Game Theory/Mathematical Methods; Game Theory, Economics, Social and Behav. Sciences; Economic Theory; Operations Research/Decision Theory
๐ SIMILAR VOLUMES
The Cooperative Game Theory of Networks
โ Robert P. Gilles (auth.)
๐ Library
๐
2010
๐ Springer
๐ English
Social and Economic Networks in Cooperat
โ Marco Slikker, Anne Van Den Nouweland (auth.)
๐ Library
๐
2001
๐ Springer US
๐ English
<p><em>Social and Economic Networks in Cooperative Game Theory</em> 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 participa
Game theory in communication networks :
โ Josephina Antoniou; A Pitsillides
๐ Library
๐
2013
๐ CRC Press
๐ English
"Focusing on heterogeneous networks, this book addresses important resource management and security issues found in networks and uses theoretical tools to model them. Although it explores network design and management from the theoretical perspective of game theory and graph theory, the text also
Game Theory in Communication Networks: C
โ Josephina Antoniou, Andreas Pitsillides
๐ Library
๐
2012
๐ CRC Press
๐ English
Features Provides a mathematical tool for scientists and researchers that work with computer and communication networks Promotes the use of Game Theory to address important resource management and security issues found in next generation communications networks, particularly heterogeneous networks
Cooperative Game Theory Tools in Coaliti
โ Francisco Javier Muros
๐ Library
๐
2019
๐ Springer International Publishing
๐ English
<p><p></p><p>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 a