Question: Equation (17.11) shown below states that the Bellman operator is a contraction. a. Show that, for any functions f and g, b. Write out an

Equation (17.11) shown below states that the Bellman operator is a contraction.

a. Show that, for any functions f and g,

b. Write out an expression for |(B U_i − B U'_i)(s)| and then apply the result from (a) to complete the proof that the Bellman operator is a contraction.

| max f(a) - max g(a)| max|f(a) - g(a)|. a a a

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