Sensitivity analysis for a Cournot equilibrium

Authors:
Roger L. Tobin
Affiliations:
GTE Laboratories Incorporated, 40 Sylvan Road, Waltham, MA 02254, USA
Venue:
Operations Research Letters
Year:
1990

Citing 6
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Abstract

This paper shows that under quite weak conditions sufficient for the existence and uniqueness of a Cournot equilibrium, the regularity conditions required for sensitivity analysis are satisfied. Results on continuity and differentiability of equilibrium quantities with respect to perturbation parameters along with methods for calculating derivatives and directional derivatives are presented.