Before revision:  To study the relation of determinative power to sensitivity to perturbations , we relate the MI to measures of perturbations, such as the influence of a variable, in terms of inequalities. The result shows that, maybe surprisingly, an input that has large influence does not necessarily have large determinative power.
After revision:  To study the relation of determinative power to sensitivity to perturbations to these inputs, and find that, maybe surprisingly, an input that has large influence does not necessarily have large determinative power.