UID:
almahu_9947366129802882
Format:
1 online resource (443 p.)
ISBN:
1-282-28921-7
,
9786612289217
,
0-08-095666-1
Series Statement:
Mathematics in science and engineering ; 160
Content:
Dynamic noncooperative game theory
Note:
Description based upon print version of record.
,
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
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Chapter 3. Noncooperative Finite Games: N-person Nonzero-sum3.1 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
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4.5 Stackelberg solution of continuous-kernel games4.6 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
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6.3 Informational properties of Nash equilibria in discretetime dynamic games6.4 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
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7.4 (Global) Stackelberg solution under CLPS information pattern7.5 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
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I.4 Convex sets and functionals
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English
Additional Edition:
ISBN 0-12-080220-1
Language:
English
