For the probabilistic case, the methods of Section 10.2 cannot be applied because is a continuous space. Dynamic programming methods for continuous state spaces, as covered in Section 10.6, are needed. The main difficulty is that the dimension of grows linearly with the number of states in . If there are states in , the dimension of is . Since the methods of Section 10.6 suffer from the curse of dimensionality, the general dynamic programming techniques are limited to problems in which has only a few states.