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The Cooperative Game Theory of Networks and Hierarchies

  • Robert P. Gilles

Part of the Theory and Decision Library C book series (TDLC, volume 44)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Robert P. Gilles
    Pages 1-27
  3. Robert P. Gilles
    Pages 29-70
  4. Robert P. Gilles
    Pages 71-106
  5. Robert P. Gilles
    Pages 107-142
  6. Robert P. Gilles
    Pages 143-187
  7. Back Matter
    Pages 245-255

About this book

Introduction

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.

Keywords

Authority Structures Cooperative Game Theory Hierarchies Social Networks game theory organizations

Authors and affiliations

  • Robert P. Gilles
    • 1
  1. 1.Queen’s University Management SchoolQueen's University BelfastBelfastUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-05282-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 2010
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Business and Economics
  • Print ISBN 978-3-642-05281-1
  • Online ISBN 978-3-642-05282-8
  • Series Print ISSN 0924-6126
  • Buy this book on publisher's site