Analytical models for minority representation in academic departments

We present mathematical models for the evolution over time of the proportio n of minorities in an academic department or similarly selected group of co nstant size. Using the models, we analyze both the steady-state and time-de pendent behavior of the proportion of minorities, and also obtain a means o f evaluating the effectiveness of a department's hiring history. We derive a number of surprising results with importance to institutional hiring poli cy and affirmative action; and we also present methods, suggested by the mo del and its behavior, to improve departmental hiring practices.