Skip to main content
SpringerLink
Log in

Search Games and Other Applications of Game Theory

  • Book
  • © 2000

Overview

Authors:
  1. Andrey Garnaev

    1. Department of Computational Mathematics, Saint Petersburg State University of Architecture and Civil Engineering, Saint Petersburg, Russia

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 485)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (6 chapters)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Preliminary Results from Game Theory

    • Andrey Garnaev
    Pages 1-4

  3. Ambush Games

    • Andrey Garnaev
    Pages 5-24

  4. Allocation Games

    • Andrey Garnaev
    Pages 25-51

  5. Dynamic Infiltration and Inspection Games

    • Andrey Garnaev
    Pages 53-80

  6. Games of Timing

    • Andrey Garnaev
    Pages 81-120

  7. Parlour Games

    • Andrey Garnaev
    Pages 121-140

  8. Back Matter

    Pages 141-150
    Download chapter PDF
Back to top

Keywords

About this book

This book is on applications of game theory. The title of this book is not "Game Theory and its Applications" because it does not construct a general theory for considered games. The book contains a lot of examples of applica­ tion of game theory together with the background of those games considered and a list of unsolved problems. Also we consider only the game where the optimal strategies of the players are found in closed form. This book is an attempt to carryon the approach developed in nice books "Search Games" by Gal and "Geometric Games and their Applications" by Ruckle. The first chapter of this book supplies the required definitions and theorems from game theory. The second chapter deals with discrete search games where both players act simultaneously: the games of protection of a channel from infiltration of a submarine, the submarine versus helicopter game, the matrix search games and others. The third chapter considers the game where the players allocate their contin­ uousefforts. In these games players face up an alternative either not to come into contest if the cost of efforts seems too high, or come into it. In the last case the player have to decide how much resources they can afford to spend. The allocation models of search, antiballistic protection and marketing are investigated.

Reviews

“This book presents an interesting approach to game theory where the model situations are introduced first and the development of theory follows from an analysis of the model.” (Srinivas Raghava Mohan, zbMATH 0954.91015, 2022)

Authors and Affiliations

  • Department of Computational Mathematics, Saint Petersburg State University of Architecture and Civil Engineering, Saint Petersburg, Russia

    Andrey Garnaev

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation