Lj. Lau et Bk. Ma, THE SHORT-RUN AGGREGATE PROFIT FUNCTION AND THE CAPACITY DISTRIBUTION, The Scandinavian journal of economics, 96(2), 1994, pp. 201-218
The mapping between the capacity distribution of production activities
and the short-run aggregate profit function is analyzed, with emphasi
s on the recovery of the former from the latter and the characterizati
on of the profit function. For the case of two inputs, it is shown tha
t the mapping is one-to-one. It is also shown that the short-run aggre
gate profit, and hence the output supply and input demand, functions c
an be approximated by polynomials in the reciprocals of normalized inp
ut prices. Properties of these functions are also presented.