ENGLISH

The Cooperative Game Theory of Networks and Hierarchies

By Robert P. Gilles

Book information

Publisher
Springer
Year
2010
ISBN
3642052819, 9783642052811, 9783642052828
DOI
10.1007/978-3-642-05282-8
ISSN
0924-6126
Google Books ID
g2dqS42F7skC
Language
english
Format
PDF
Filesize
2 MB (1961177 bytes)
Series
Theory and Decision Library C: 44
Pages
268\268
Orientation
portrait
Paginated
yes
Scanned
no
Time added
2012-03-17 06:00:00
EconomicsGame Theory/Mathematical Methods; Game TheorySocial and Behav. Sciences; Economic Theory; Opera

Description

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.

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