Cargando…
The theory of positional games : with applications in economics /
The Theory of Positional Games with Applications in Economics.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, New York :
Academic Press,
[1981]
|
| Colección: | Economic theory, econometrics, and mathematical economics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; The Theory of Positional Games: With Applications in Economics; Copyright Page; Dedication; Table of Contents; Preface; Part I: GENERAL GAMES; Chapter 1. Games in Extensive and Normal Forms; 1.1 Games in Extensive Form; 1.2 Pure Strategies and the Normal Form; 1.3 Solution of a Game; 1.4 GAMES WITH COMPLETE INFORMATION; Chapter 2. Information Extension of Games; 2.1 Some Properties of Nash Equilibrium; 2.2 Information Extension of Games: The Germeir Approach; Chapter 3. Probabilistic Extension of Games; 3.1 Definitions and Basic Properties.
- 3.2 Finite Antagonistic Games via Linear ProgrammingChapter 4. Infinite Games; 4.1 Existence Theorem; 4.2 Infinite Antagonistic Games in the von Neumann Models: An Example; Part II: DIFFERENCE GAMES; Chapter 5. Difference Games with Constant Control Sets; 5.1 Strategies and Control Sets; 5.2 Continuous Difference Games with Constant Control Sets; Chapter 6. Difference Games with Variable Control Sets; 6.1 Continuous Difference Games with State-Dependent Control Sets; 6.2 A Solution of the Difference Game: War between One-Commodity Models
- Part III: DIFFERENTIAL GAMES.
- Chapter 7. Differential Games: Basic Definitions7.1 Strategies and Solutions; 7.2 Differential Equations with a Discontinuous Right-Hand Side; 7.3 Strategies, Objective Functions, and Bellman's Function; Chapter 8. Isaacs' Approach to Differential Games; 8.1 Isaacs' Equations; 8.2 Application of the Regression Equations to War between One-Commodity Models; 8.3 Continuity and Differentiability of Bellman's Function; 8.4 Existence of Solutions; Chapter 9. Other Approaches to Differential Games; 9.1 The Geometric Approach with Application to War between One-Commodity Models.
- 9.2 Friedman's Approach9.3 Krasovsky's Approach; Bibliography; Index.