Separability and separability flexibility of the CRESH function

The CRESH functional form has many desirable properties. It is globally regular for a wide range of parameter values, it includes the CES as a special case, and it has stable patterns of relative substitutability. However, while the CRESH form is defined to be implicitly additively separable, theordinary separability structure of the CRESH form has never been investigated. In this article, that deficiency is corrected by describing the separability structure of CRESH functions. In particular, it is shown that the CRESH form is separability flexible in the important three input case. This and its other properties may make the CRESH function the form of choice among existing three input production functions.The editor for this paper was Michael Denny.