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Silverman’s Game

A Special Class of Two-Person Zero-Sum Games

  • Gerald A. Heuer
  • Ulrike Leopold-Wildburger

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 424)

Table of contents

  1. Front Matter
    Pages i-x
  2. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 1-8
  3. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 9-19
  4. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 20-55
  5. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 56-76
  6. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 77-91
  7. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 92-132
  8. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 133-155
  9. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 156-184
  10. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 185-217
  11. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 218-263
  12. Gerald A. Heuer, Ulrike Leopold-Wildburger
    Pages 264-278
  13. Back Matter
    Pages 279-286

About this book

Introduction

The structure of a Silverman game can be explained very quickly: Each of two players independently selects a number out of a prede­ termined set, not necessarily the same one for both of them. The higher number wins unless it is at least k times as high as the other one; if this is the case the lower number wins. The game ends in a draw if both numbers are equal. k is a constant greater than 1. The simplicity of the rules stimulates the curiosity of the the­ orist. Admittedly, Silverman games do not seem to have a direct applied significance, but nevertheless much can be learnt from their study. This book succeeds to give an almost complete overview over the structure of optimal strategies and it reveals a surprising wealth of interesting detail. A field like game theory does not only need research on broad questions and fundamental issues, but also specialized work on re­ stricted topics. Even if not many readers are interested in the subject matter, those who are will appreciate this monograph.

Keywords

Spiele Spieltheorie Strategien game theory games strategy

Authors and affiliations

  • Gerald A. Heuer
    • 1
  • Ulrike Leopold-Wildburger
    • 2
  1. 1.Department of Mathematics and Computer ScienceConcordia CollegeMoorheadUSA
  2. 2.Department of Statistics, Econometrics and Operations ResearchKarl-Franzens-UniversityGrazAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46819-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-59232-7
  • Online ISBN 978-3-642-46819-3
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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