Sensitivity analysis of boundary equilibria

Working paper

This paper studies the sensitivity of economic equilibria to perturbations when the implicit function theorem cannot be applied on account of the presence of boundaries. It presents results from the mathematical programming literature which provide conditions under which equilibria are robust to perturbation and are locally unique Lipschitz-continuous functions of parameters. Economic applications include search equilibrium, Cournot equilibrium and general equilibrium.

Authors: Beggs, A

• Publication status: Published
• Publisher: University of Oxford Publisher's website
• Series: Department of Economics Discussion Paper Series
• Publication date: 2015-10-05
• Paper number: 762
• Keywords: equilibria; sensitivity analysis; variational inequalities; implicit function theorem; boundaries