On a continuous solution to the Bellman-Poisson equation in stochastic games

On a continuous solution to the Bellman-Poisson equation in stochastic games

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Article ID: iaor20104438
Volume: 145
Issue: 3
Start Page Number: 451
End Page Number: 458
Publication Date: Jun 2010
Journal: Journal of Optimization Theory and Applications
Authors:
Abstract:

In this note, we study the Bellman-Poisson equation associated with a class of ergodic zero-sum semi-Markov games. The main objective is to prove that this equation has a continuous solution and both players have optimal stationary strategies.

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