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Coherent Structures and Simple Games

  • K. G. Ramamurthy

Part of the Theory and Decision Library book series (TDLC, volume 6)

Table of contents

  1. Front Matter
    Pages i-xii
  2. K. G. Ramamurthy
    Pages 1-36
  3. K. G. Ramamurthy
    Pages 37-64
  4. K. G. Ramamurthy
    Pages 65-88
  5. K. G. Ramamurthy
    Pages 89-134
  6. K. G. Ramamurthy
    Pages 135-146
  7. Back Matter
    Pages 147-161

About this book

Introduction

The motivation for this monograph can be traced to a seminar on Simple Games given by Professor S.H. Tijs of the Catholic University at Nijmegen way back in 1981 or 1982 at the Delhi campus of the Indian Statistical Institute. As an ap­ plied statistician and a consultant in quality control, I was naturally interested in Reliability Theory. I was aquainted with topics in reliability like coherent systems, importance of components etc., mainly through Barlow and Proschan's book. At the seminar given by Professor Tijs, I noticed the striking similarity between the concepts in reliability and simple games and this kindled my interest in simple games. When I started going deep into the literature of simple games, I noticed that a number of concepts as well as results which were well known in game theory were rediscovered much later by researchers in reliability. Though the conceptual equivalence of coherent structures and simple games has been noticed quite early, it is not that much well known. In fact, the theoretical developments have taken place practically independent of each other, with considerable duplication of research effort. The basic objective of this monograph is to unify some of the concepts and developments in reliability and simple games so as to avoid further duplication.

Keywords

control game theory quality quality control reliability social choice

Authors and affiliations

  • K. G. Ramamurthy
    • 1
  1. 1.Indian Statistical InstituteNew DelhiIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-2099-6
  • Copyright Information Springer Science+Business Media B.V. 1990
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7443-8
  • Online ISBN 978-94-009-2099-6
  • Series Print ISSN 0924-6126
  • Buy this book on publisher's site