Silverman's Game: A Special Class of Two-Person Zero-Sum Games

By Stuart Ira Fox and Gerald A. Heuer

Book Overview

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.

• Format: Paperback
• Language: English
• ISBN: 3540592326
• ISBN13: 9783540592327
• Release Date: June 1995
• Publisher: Springer
• Length: 283 Pages
• Weight: 0.93 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"