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The two environments differ in how loud badgers are. (A). In the good environment, badgers are easier to detect than they are in the bad environment. The optimal decision rule is computed using dynamic programming and illustrated in the lower panel (B). The decision about whether to dig depends on the value x of the cue and the subjective probability that the environment is bad. A curve separates the region in which one should dig (tan) from the region in which one should not (blue)
