Let v be the value function for the dynamic programming problem (example 2 32) subject to xt 1 G(xt), t 0, 1, 2, , x0 X Assume that cent f is bounded and continuous on X Atilde X cent G(x) is nonempty, compact valued, and continuous for every x X cent 0 curren p Define the correspondence Xt, Xt 1

Question: Let v be the value function for the dynamic programming problem (example 2.32) subject to xt+1 G(xt), t = 0, 1, 2,..., x0 X Assume

Let v be the value function for the dynamic programming problem (example 2.32)

subject to xt+1 ˆŠ G(xt), t = 0, 1, 2,..., x0 ˆŠ X
Assume that
€¢ f is bounded and continuous on X Ã— X
€¢ G(x) is nonempty, compact-valued, and continuous for every x ˆŠ X
€¢ 0 ‰¤ p Define the correspondence

Xt, Xt+1

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