defined a proper policy for an MDP as one that is guaranteed to reach a terminal state. Show that it is possible for a passive ADP agent to learn a transition model for which its policy is improper even if is proper for the true MDP; with such models, the value determination step may fail if y=1. Show that this problem cannot arise if value determination is applied to the learned model only at the end of a trial.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter17: Markov Chains
Section17.4: Classification Of States In A Markov Chain
Problem 3P
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defined a proper policy for an MDP as one that is guaranteed to reach a
terminal state. Show that it is possible for a passive ADP agent to learn a transition model
for which its policy is improper even if is proper for the true MDP; with such models,
the value determination step may fail if y=1. Show that this problem cannot arise if value
determination is applied to the learned model only at the end of a trial.
Transcribed Image Text:defined a proper policy for an MDP as one that is guaranteed to reach a terminal state. Show that it is possible for a passive ADP agent to learn a transition model for which its policy is improper even if is proper for the true MDP; with such models, the value determination step may fail if y=1. Show that this problem cannot arise if value determination is applied to the learned model only at the end of a trial.
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