Approximations to viability kernels for sustainable macroeconomic policies

Abstract

Maintaining an open economy within certain bounds on inflation, output gap and exchange rate can help sustainable economic development. Macroeconomics proposes monetary-policy models that describe evolution of the above quantities. We use one such model, constituted by a four-metastate one-control system, to compute viability kernel approximations that one can use to assist the central bank to establish "sustainable" policies. We propose a simple heuristic algorithm that leads to kernel approximations for this and similar models.