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Abstract

In this chapter we present the class of zero-sum Markov games we are interested in. We first introduce the game model which is a collection of objects describing the evolution in time of the games. In addition, in order to define the corresponding game problem, the concept of strategies for players is given along with the optimality criteria that will be analyzed in the next chapters.

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References

  1. Dynkin, E.B., Yushkevich, A.A.: Controlled Markov Processes. Springer, New York (1979)

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Minjárez-Sosa, J.A. (2020). Zero-Sum Markov Games. In: Zero-Sum Discrete-Time Markov Games with Unknown Disturbance Distribution. SpringerBriefs in Probability and Mathematical Statistics. Springer, Cham. https://doi.org/10.1007/978-3-030-35720-7_1

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