Titlebook: Stochastic and Differential Games; Theory and Numerical Martino Bardi,T. E. S. Raghavan,T. Parthasarathy Book 1999 Springer Science+Busines

Nonthreatening

Numerical Methods for Pursuit-Evasion Games via Viscosity Solutionss interpreted in the viscosity sense, as well as discontinuous value functions, where the notion of viscosity envelope-solution is needed. The convergence of the approximation scheme to the value function of the game is proved in both cases. A priori estimates of the convergence in L. are establishe

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Discounted Stochastic Games, A Complex Analytic Perspectivenal power series) in the discount factor, when β is sufficiently near 1. Their proof relied on a theorem from formal logic due to Tarski. In a recent paper, Szczechla et al. have given an alternative proof, and an extension, of this result with the help of powerful methods from a branch of the theor

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The Power of Threats in Stochastic Games achieved as an equilibrium reward. The standard proof of this theorem involves pure strategies that yield this reward and threats to prevent the opponent from deviating from his pure strategy. In stochastic games it is not always possible to apply threats in a similar fashion, since a deviation may

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A Markov Game Approach for Optimal Routing Into a Queuing Networkessages, calls, etc.) be sent. The service rate in each queue may depend on the state of the system, may change in time, and is unknown to the controller. The goal of the controller is to design a strategy that guarantees the best performance under the worst case service conditions. The payoff is co

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