Lecture Notes in Economics and Mathematical Systems: A Special Class of Two-Person Zero-Sum Games

Heuer, Gerald A.; Leopold-Wildburger, Ulrike

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.

Details

Published by: Springer

Publication Date: 1995-06-20

Format: Paperback

ISBN-13: 9783540592327

DOI: 10.1007/978-3-642-46819-3

Dimensions: 235cm x155cm

Pages: 283