I've got a very basic question about optimal stopping. It may have just been me, but I feel like my professor didn't do a great job of explaining the topic too well. I was hoping one of you would be able to step me through this simple example:
Consider a simple random walk with absorbing boundaries on {0, 1, 2, ..., 10}. Suppose the following payoff function is given
$[0, 2, 4, 3, 10, 0, 6, 4, 3, 3, 0].$
Find the optimal stopping rule and give the expected payoff starting at each site.
Any help is greatly appreciated. Thanks!