This paper studies incentives and loss of control in a hierarchy model
which combines and generalizes the models of Williamson, Calvo-Wellis
z and Keren-Levhari. In our model of the hierarchy, the levels of effo
rt from managers and workers, the wage scales, the span of control and
, in particular, the total number of tiers are all endogenous. Using o
ptimal control techniques, we show that in the optimal hierarchy the w
age scales and effort levels decrease as one moves down the hierarchy.
As the hierarchy expands with no technological progress, workers exer
t less effort and are paid less, top managers work harder and are paid
more and the wage distribution becomes increasingly skewed.