Games, theory and applications
This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.
Read More ↓Title Statements
- Full title :Games, theory and applications / L.C. Thomas.
Summary
This text opens with the theory of 2-person zero-sum games, 2-person non-zero sum games, and n-person games, at a level between non-mathematical introductory books and technical mathematical game theory books. Includes introductory explanations of gaming and meta games. Includes numerous exercises anbd problems with solutions and over 30 illustrations. 1986 edition.
Read More ↓Edition Statements
- Publication Date:2003.
Publication Statements
- Publisher(s):Dover Publications
- Place of Publication:Mineola, N.Y
- Language:eng
- Publication Date:2003.
The Physical Object
- Description:1 online resource (279 pages) : : illustrations
Edition Identifiers
- ISBN:9780486143736, 0486143732
- oclc:ocn867770289
- LC Classification:QA269
- Dewey Decimal:519.3
Table of Contents
Cover; Title Page; Copyright Page; Dedication; Contents; Author's Preface; Glossary of Symbols; Chapter 1 'The Game's Afoot'; 1.1 What is a game?; 1.2 Examples of games; 1.3 Terminology of game theory; 1.4 History of game theory; Problems; Chapter 2 Two-Person Zero-Sum Games; 2.1 Extensive form; 2.2 Normal form; 2.3 Maximin criterion; 2.4 Mixed strategies; 2.5 Minimax theorem; 2.6 Domination; 2.7 Worthwhile strategies; 2.8 Solutionsof 2 × m games; 2.9 Equilibrium pairs; 2.10 Games with perfect information; 2.11 Solving n × m games; 2.12 Further reading; Problems.
Chapter 3 Two-Person Non-Zero-Sum Games3.1 Differences between zero and non-zero-sum games; 3.2 Examples; 3.3 Equilibrium pairs and maximin-maximin pairs; 3.4 Sketch proof of Nash's theorem; 3.5 How to find equilibrium pairs (Swastika Method); 3.6 Solution concepts of non-zero-sum games; 3.7 Cooperative games; 3.8 Bargaining or negotiation set; 3.9 Nash's bargaining axioms; 3.10 Maximin bargaining solution; 3.11 Threat bargaining solution; 3.12 Further reading; Problems; Chapter 4 N-Person Games; 4.1 Non-cooperative games; 4.2 Characteristic function.
4.3 Strategic equivalence of characteristic functions4.4 Imputations;…
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