Suppose you have solved a discounted Markov decision process under maximization and have computed u,*(s) and an optimal policy d” for which uf” = uf.
a. A new action a' becomes available in state s'. How can you determine whether d” is still optimal without resolving the problem? If it is not, how can you find a new optimal policy and its value?
b. Suppose action a* is optimal in state s*, that is d(s*) = a*, and you find that the return in state s* under action a* decreases by A. Provide an efficient way for determining whether d” is still optimal and, if not, for finding a new optimal policy and its value.
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