Consider an infinite horizon discounted MDP (0 < < 1) with finite state space and finite...

 

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Consider an infinite horizon discounted MDP (0 < < 1) with finite state space and finite action space. Consider the following Q-value iteration: Q(n+1) (s, a) or equivalently, = R(s, a) + P(s, a, s') max Q(n) (s', a'). a' EA s'ES Q(n+1) := Q(n). Show that I is a contraction mapping. Consider an infinite horizon discounted MDP (0 < < 1) with finite state space and finite action space. Consider the following Q-value iteration: Q(n+1) (s, a) or equivalently, = R(s, a) + P(s, a, s') max Q(n) (s', a'). a' EA s'ES Q(n+1) := Q(n). Show that I is a contraction mapping.

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Qn1rQn 1 for this equetion we can use the commutat... View the full answer