Optimal Strategy for Maximizing G(M) with Decreasing Function

Since G(M) decreases when M > l, the optimal strategy cannot allow M to increase above AIt; in other words, F(t > i) = 1. Under some well-defined conditions, the optimal F(t) at t < I can be shown to be a step function, F(t < t*) = 0, F(t > t*) = 1.