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The Theory of Max-Min and its Application to Weapons Allocation Problems

  • John M. Danskin
Textbook

Table of contents

  1. Front Matter
    Pages I-IX
  2. John M. Danskin
    Pages 1-9
  3. John M. Danskin
    Pages 10-18
  4. John M. Danskin
    Pages 19-32
  5. John M. Danskin
    Pages 33-51
  6. John M. Danskin
    Pages 52-84
  7. John M. Danskin
    Pages 85-106
  8. John M. Danskin
    Pages 107-122
  9. Back Matter
    Pages 123-127

About this book

Introduction

Max-Min problems are two-step allocation problems in which one side must make his move knowing that the other side will then learn what the move is and optimally counter. They are fundamental in parti­ cular to military weapons-selection problems involving large systems such as Minuteman or Polaris, where the systems in the mix are so large that they cannot be concealed from an opponent. One must then expect the opponent to determine on an optlmal mixture of, in the case men­ tioned above, anti-Minuteman and anti-submarine effort. The author's first introduction to a problem of Max-Min type occurred at The RAND Corporation about 1951. One side allocates anti-missile defenses to various cities. The other side observes this allocation and then allocates missiles to those cities. If F(x, y) denotes the total residual value of the cities after the attack, with x denoting the defender's strategy and y the attacker's, the problem is then to find Max MinF(x, y) = Max [MinF(x, y)] .

Keywords

Maximum-Minimum-Prinzip Rakete Strategie stability strategy value-at-risk

Authors and affiliations

  • John M. Danskin
    • 1
  1. 1.Center for Naval Analyses of the Franklin-InstituteArlingtonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46092-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1967
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-46094-4
  • Online ISBN 978-3-642-46092-0
  • Series Print ISSN 0078-3390
  • Buy this book on publisher's site
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