Ebook: Stochastic and Differential Games: Theory and Numerical Methods

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Content:
Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Constructive Theory of Positional Differential Games and Generalized Solutions to Hamilton—Jacobi Equations....Pages 3-67
Two-Player, Zero-Sum Differential Games and Viscosity Solutions....Pages 69-104
Numerical Methods for Pursuit-Evasion Games via Viscosity Solutions....Pages 105-175
Set-Valued Numerical Analysis for Optimal Control and Differential Games....Pages 177-247
Front Matter....Pages 249-249
An Introduction to Gambling Theory and Its Applications to Stochastic Games....Pages 251-269
Discounted Stochastic Games, A Complex Analytic Perspective....Pages 271-296
Nonzero-Sum Stochastic Games....Pages 297-342
The Power of Threats in Stochastic Games....Pages 343-357
A Markov Game Approach for Optimal Routing Into a Queuing Network....Pages 359-375
On Linear Complementarity and A Discounted Polystochastic Game....Pages 377-380
Back Matter....Pages 381-381

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Content:
Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Constructive Theory of Positional Differential Games and Generalized Solutions to Hamilton—Jacobi Equations....Pages 3-67
Two-Player, Zero-Sum Differential Games and Viscosity Solutions....Pages 69-104
Numerical Methods for Pursuit-Evasion Games via Viscosity Solutions....Pages 105-175
Set-Valued Numerical Analysis for Optimal Control and Differential Games....Pages 177-247
Front Matter....Pages 249-249
An Introduction to Gambling Theory and Its Applications to Stochastic Games....Pages 251-269
Discounted Stochastic Games, A Complex Analytic Perspective....Pages 271-296
Nonzero-Sum Stochastic Games....Pages 297-342
The Power of Threats in Stochastic Games....Pages 343-357
A Markov Game Approach for Optimal Routing Into a Queuing Network....Pages 359-375
On Linear Complementarity and A Discounted Polystochastic Game....Pages 377-380
Back Matter....Pages 381-381
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