The present invention discloses a method for performing a stochastic analysis of one or more hydrocarbon reservoir exploitation strategies taking into consideration one or more uncertain parameters. The method optimizes an objective function that considers the gain in value of a reservoir management goal attributable to these exploitation strategies. The methodology may be used to decide whether or not to implement a strategy. Alternatively, it may be used to decide which competing strategy will yield the maximum benefit. In another embodiment of the present invention, the value of information obtained from the installation of additional sensors or new measurements is also considered.