![]() | |
![]() | Cookies? |
| |||||||
![]() | ![]() | ![]() | ![]() | ![]() | |||
![]() |
Abstract:![]()
Theoretical Economics Paper
The Wong-Viner Envelope Theorem for subdifferentiable functions Anthony Horsley and Andrew J Wrobel April 2005 Paper No' TE/2005/489: Full Paper ![]() The Wong-Viner Envelope Theorem on the equality of long-run and short-run marginal costs (LRMC and SRMC) is reformulated for convex but generally nondifferentiable cost functions. The marginal cost can be formalized as the multi-valued subdifferential a.k.a. the subgradient set but, in itself, this is insufficient to extend the result effectively, i.e., to identify suitable SRMCs as LRMCs. This goal is achieved by equating the profit-imputed values of the fixed inputs to their prices. Thus reformulated, the theorem is proved from a lemma on the sections of the joint subdifferential of a bivariate convex function. The new technique is linked to the Partial Inversion Rule of convex calculus. |
![]() |
| ||||
Copyright © STICERD & LSE 2015
- 2019
| LSE, Houghton Street, London WC2A 2AE | Tel: +44(0)20 7955 6699 | Email: STICERD@lse.ac.uk | Site updated 12 December 2019
|