Competitive Equilibrium with Separable Externalities
- Creators
- Montgomery, W. David
Abstract
The characterization of external effects as "separable" has played an important role in the development of the theory of externalities. The separable case appears particularly well behaved when procedures for achieving an optimum allocation of resources in the presence of externalities are examined. For example, Davis and Whinston (1962) find that separability assures the existence of a certain kind of equilibrium in bargaining between firms which create externalities, and that equilibrium does not exist without sepalability. Kneese and Bower (1968) argue that with separability the computation of Pigovian taxes to remedy externalities is particularly simple. Marchand and Russell (1974) demonstrate that certain liability rules regarding external effects lead to Pareto optimal outcomes if and only if externalities are separable. We will argue in this paper that whenever an externality affecting a firm is separable, the production set of that firm is not convex in a neighborhood of zero output. The proposition is established by redefining separability in a manner which allows for the fact that in the long run a firm will shut down rather than accept negative profits. These definitions yield the theorem that separability implies a non-convexity of the production function, which may result in a discontinuous supply correspondence.
Additional Information
I am indebted to Joel Franklin, David Grether, and James Quirk for substantial mathematical assistance and moral support. Research support was provided by the Environmental Quality Laboratory of the California Institute of Technology.Attached Files
Submitted - sswp85.pdf
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Additional details
- Eprint ID
- 82795
- Resolver ID
- CaltechAUTHORS:20171030-155852839
- Environmental Quality Laboratory
- Created
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2017-10-30Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Caltech groups
- Social Science Working Papers, Environmental Quality Laboratory
- Series Name
- Social Science Working Paper
- Series Volume or Issue Number
- 85