Dynamic noncooperative game theory 1st Edition by Tamer Basar, Geert Jan Olsder – Ebook PDF Instant Download/Delivery. 9780080956664 ,0080956661
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ISBN 10: 0080956661
ISBN 13: 9780080956664
Author: Tamer Basar, Geert Jan Olsder
Dynamic noncooperative game theory 1st Edition Table of contents:
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 ε 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
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