A unified approach to determinacy conditions with regime switching
本摘要源自该文的 法国央行 工作论文版(2024),正式发表版可能有调整。
The conditions that ensure the existence of a unique stable equilibrium - determinacy conditions - for rational expectations models with Markov switching depend on the stability concept, contrasting with standard linear rational expectations models. In this paper, we offer a unified framework for the two commonly used stability concepts: boundedness and mean-square stability. We derive determinacy conditions for both concepts based on simple metrics. Qualitatively, we show that mean-square stable solutions are always at least as many as bounded solutions. We then apply and discuss our results in two monetary models.