Silverman's Game
A Special Class of Two-Person Zero-Sum Games
(Sprache: Englisch)
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...
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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.
Inhaltsverzeichnis zu „Silverman's Game “
- Introduction- Silverman's game on intervals: preliminaries
- Intervals with equal left endpoints or equal right endpoints
- Intervals with no common endpoints
- Reduction by dominance
- The further reduction of semi-reduced games
- The symmetric discrete game
- The disjoint discrete game
- Irreducibility and solutions of the odd-order reduced games
- Irreducibility and solutions of the even-order reduced games
- Explicit solutions.
Autoren-Porträt von Gerald A. Heuer, Ulrike Leopold-Wildburger
Univ. Prof. Dr. Ulrike Leopold-Wildburger, Universitätsprofessor für Wirtschaftsmathematik und Operations Research. Verfasserin zahlreicher Bücher und Artikel in Fachzeitschriften, mehrere best paper und research awards.
Bibliographische Angaben
- Autoren: Gerald A. Heuer , Ulrike Leopold-Wildburger
- 1995, X, 283 Seiten, Maße: 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3540592326
- ISBN-13: 9783540592327
Sprache:
Englisch
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