1. The authority of one head may be absolutely extinguished in the field where conflict exists. Here we have legalized the state of things described above as existing with a combination of one spineless department-head and one very spiny one. It works, but at the expense of everything that tends to the efficiency of the extinguished authority, and I do not recommend it. 2. An attempt may be made, as noted above, to draw a line between the two spheres of authority and keep each in its place. This appeals to those who are fond of detail, for it can be done only by considering and ticketing details. A line, defined by some one clear principle, cannot be drawn in a field of this kind between two things both of which logically cover that field. It is logical that the children’s librarian in a branch should be wholly under the authority of the branch librarian, since she is a branch employee like the others. It is just as logical that she should be wholly under the authority of the supervisor, of whose department she is a part. If we are to define the things in which she is to obey the one and the other, they must be enumerated one by one. And then other things will turn up that have not been thus enumerated, and we are in trouble again. This plan, as I have said, appeals to those who revel in regulations and specifications, but I can recommend it no more than the other. 3. One department may formally and distinctly be set above the other. Or, what is the same thing, the librarian may resolve, when a conflict arises, always to decide the matter in favor of one particular department. This means, in the special case that we have been using as an illustration, either that the children’s department shall be allowed to do nothing in a branch library without the consent of the branch librarian, or of the supervisor of branches, if there is one; or that all questions involving the administration of a branch children’s room must depend ultimately on the chief of the children’s department.