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For questions related to the various policy evaluation (PE) algorithms, which are numerical iterative algorithms that are used to find the value function associated with a given policy, which is often denoted as the "prediction problem". PE is also considered a dynamic programming method, which is regularly discussed in reinforcement learning textbooks.
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Is the existence and uniqueness of the state-value function for $\gamma < 1$ theoretical?
Consider the following statement from 4.1 Policy Evaluation of the first edition of Sutton and Barto's book.
The existence and uniqueness of $V^{\pi}$ are guaranteed as long as
either $\gamma < 1$ o …