Advances in Dynamic Games and Applications

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Springer Science & Business Media, Jul 20, 2001 - Mathematics - 347 pages
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Game theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One ofthe activities of the ISDG is the publica tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals.
 

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Contents

Modelling the Strategies in Some Dynamic Games
3
A Historical Perspective on Cooperative Differential Games
19
Certainty Equivalence Principle and Minimax Team Problems
31
The Impact of Different Learning Schemes
45
Mixed Strategies for Hierarchical ZeroSum Games
65
The Existence and Uniqueness of Equilibria in Convex Games with Strategies in Hilbert Spaces
79
Stochastic Games
99
The Existence of Equilibrium Payoffs in TwoPlayer Stochastic Games
101
Perturbed ZeroSum Games with Applications to Stochastic and Repeated Games
165
Solution Methods of Dynamic Games
183
Construction of Singular Surfaces in Linear Differential Games
185
Parallel Algorithms for the Isaacs Equation
203
Computation of 5adapted Equilibria in Piecewise Deterministic Games via Stochastic Programming Methods
225
Comparison of Two Numerical Approaches for the Barrier and Value of a Simple PursuitEvasion Game
253
Dynamic Games Applications
275
On Optimal Missile Guidance Upgrades with Dynamic Stackelberg Game Linearizations
277

Persistently Good Strategies for Nonleavable Stochastic Games with Finite State Space
119
On Stochastic Hybrid ZeroSum Games with Nonlinear Slow Dynamics
129
On Multichain Markov Games
147
Computation of Level Sets of the Value Function
295
The Tragedy of the Commons Modelled by Large Games
323
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