Elasticities of derived demand under different objectives of the firm

Conclusions We have reconciled and generalized earlier comparisons of input demand elasticities under different objective functions of the firm. In general little can be said of the relative magnitudes of the elasticities under different objectives, since different goals usually imply different levels of production and input demand. With some simplifying assumptions about the technology we can conclude that a profit-constrained, utility-maximizing firm tends to have higher input demand elasticities than a profit-maximizing firm facing the same cost and demand functions. This tendency is reinforced by a high profit requirement, decreasing returns to scale and slowly falling demand elasticity for the output. The results may help to explain differences in the stability of employment between industries,. Scherer [1980, pp. 365–67] reports that some studies have found an inverse relation between market concentration and stability of employment, which is contrary to the expected result. One may argue that in concentrated industries the firms are likely to have organizational slack or to face an inelastic product demand curve. Hence demand for factors of production should be less elastic than in more competitive industries. We have shown, however, that deviations from profit maximization may lead to higher input demand elasticities. Since non-profit-maximizing goals are likely to be more common in concentrated industries, the observed instability of employment may be partly due to the high elasticity of derived demand. Although the type of alternative goals studied in this paper may not be realistic in practice, the analysis shows nevertheless that goals of the firm may be one factor in explaining differences in the stability of employment.