Theory and Decision Library C

The Cooperative Game Theory of Networks and Hierarchies

Authors: Gilles, Robert P.

  • Offers a comprehensive overview of standard concepts in cooperative game theory
  • Presents applications to the analysis of social networks and authority structures
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eBook $109.00
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  • ISBN 978-3-642-05282-8
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Hardcover $149.00
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  • ISBN 978-3-642-05281-1
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Softcover $149.00
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  • ISBN 978-3-642-26315-6
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About this book

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.

Reviews

From the reviews:

“It is worthwhile to emphasize that this book is very clearly and rigorously written. … chapters is accompanied by an appendix section containing proofs of the main theorems, and by a problem section, allowing this book to be used as a textbook for an advanced graduate course on game theory. … this book can also be seen as a very valuable position for game theorists.”­­­ (Tadeusz Radzik, Zentralblatt MATH, Vol. 1198, 2010)

“In The cooperative game theory of networks and hierarchies, Gilles has written an introduction to cooperative game theory and its applications to hierarchical structures that serves equally well as a graduate level text and a primer for the researcher wanting a concise but highly readable account of recent work in this field. … the author has provided extensive and thoughtful discussion of the assumptions and applicability of these models to economic and other institutions.” (Jennifer M. Wilson, Mathematical Reviews, Issue 2012 f)


Table of contents (6 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-05282-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-642-05281-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-3-642-26315-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Cooperative Game Theory of Networks and Hierarchies
Authors
Series Title
Theory and Decision Library C
Series Volume
44
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-05282-8
DOI
10.1007/978-3-642-05282-8
Hardcover ISBN
978-3-642-05281-1
Softcover ISBN
978-3-642-26315-6
Series ISSN
0924-6126
Edition Number
1
Number of Pages
XI, 270
Number of Illustrations and Tables
20 b/w illustrations
Topics