Dynamic Noncooperative Game Theory
Published on 2. February 1982
429 pages
978-0-08-095666-4 (ISBN)
Description
Dynamic Noncooperative Game Theory
More details
Other editions
Additional editions
Tamer Basar | Geert Jan Olsder
Dynamic Noncooperative Game Theory
Book
01/1982
Academic Press
€89.76
Article exhausted; check different version
Content
- Front Cover
- Dynamic Noncooperative Game Theory
- Copyright Page
- Contents
- Preface
- Chapter 1. Introduction and Motivation
- 1.1 Preliminary remarks
- 1.2 Preview on noncooperative games
- 1.3 Outline of the book
- 1.4 Conventions, notation and terminology
- PART I
- Chapter 2. Noncooperative Finite Games: Two-person Zero-sum
- 2.1 Introduction
- 2.2 Matrix games
- 2.3 Computation of mixed equilibrium strategies
- 2.4 Extensive forms: single-act games
- 2.5 Extensive forms: multi-act games
- 2.6 Zero-sum games with chance moves
- 2.7 Problems
- 2.8 Notes
- Chapter 3. Noncooperative Finite Games: N-person Nonzero-sum
- 3.1 Introduction
- 3.2 Bimatrix games
- 3.3 N-person games in normal form
- 3.4 Computation of mixed-strategy Nash equilibria in bimatrix games
- 3.5 Nash equilibria of N-person games in extensive form
- 3.6 The Stackelberg equilibrium solution
- 3.7 Nonzero-sum games with chance moves
- 3.8 Problems
- 3.9 Notes
- Chapter 4. Static Noncooperative Infinite Games
- 4.1 Introduction
- 4.2 e equilibrium solutions
- 4.3 Continuous-kernel games: results on existence of Nash equilibria
- 4.4 Some special types of zero-sum games on the square
- 4.5 Stackelberg solution of continuous-kernel games
- 4.6 Quadratic games with applications in microeconomics
- 4.7 Problems
- 4.8 Notes
- PART II
- Chapter 5. General Formulation of Infinite Dynamic Games
- 5.1 Introduction
- 5.2 Discrete-time infinite dynamic games
- 5.3 Continuous-time infinite dynamic games
- 5.4 Mixed and behavioural strategies in infinite dynamic games
- 5.5 Tools for one-person optimization
- 5.6 Problems
- 5.7 Notes
- Chapter 6. Nash Equilibria of Infinite Dynamic Games
- 6.1 Introduction
- 6.2 Open-loop and feedback Nash equilibria for dynamic games in discrete time
- 6.3 Informational properties of Nash equilibria in discretetime dynamic games
- 6.4 Stochastic nonzero-sum games with deterministic information patterns
- 6.5 Appendix A: Open-loop and feedback Nash equilibria of differential games
- 6.6 Appendix B: Stochastic differential games with deterministic information patterns
- 6.7 Problems
- 6.8 Notes
- Chapter 7. Hierarchical (Stackelberg) Equilibria of Infinite Dynamic Games
- 7.1 Introduction
- 7.2 Open-loop Stackelberg solution of two-person dynamic games in discrete time
- 7.3 Feedback Stackelberg solution under CLPS information pattern
- 7.4 (Global) Stackelberg solution under CLPS information pattern
- 7.5 Stochastic dynamic games with deterministic information patterns
- 7.6 Problems
- 7.7 Notes
- Chapter 8. Pursuit-Evasion Games
- 8.1 Introduction
- 8.2 Necessary and sufficient conditions for saddle-point equilibria
- 8.3 Capturability
- 8.4 Singular surfaces
- 8.5 Solutions of two pursuit-evasion games
- 8.6 An application in maritime collision avoidance
- 8.7 Role determination and an application in aeronautics
- 8.8 Problems
- 8.9 Notes
- Appendix I: Mathematical Review
- I.1 Sets
- I.2 Normed linear (vector) spaces
- I.3 Matrices
- I.4 Convex sets and functionals
- I.5 Optimization of functionals
- Appendix II: Some Notions of Probability Theory
- II.1 Ingredients of probability theory
- II.2 Random vectors
- II.3 Integrals and expectation
- Appendix III: Fixed Point Theorems
- References
- List of Corollaries, Definitions, Examples, Lemmas, Propositions, Remarks and Theorems
- Index
