Question: Can any finite search problem be translated exactly into a Markov decision problem such that an optimal solution of the latter is also an optimal

Can any finite search problem be translated exactly into a Markov decision problem such that an optimal solution of the latter is also an optimal solution of the former? If so, explain precisely how to translate the problem and how to translate the solution back; if not, explain precisely why not (i.e.., give a counterexample).

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