Gresham's Law of Model Averaging
决策者怀疑环境非平稳,使用时变参数和常数参数两个模型进行贝叶斯平均。实际上参数恒定,但预期反馈使参数不稳定的担忧自我实现,导致常数参数模型被挤出。
A decision maker doubts the stationarity of his environment. In response, he uses two models, one with time-varying parameters, and another with constant parameters. Forecasts are then based on a Bayesian model averaging strategy, which mixes forecasts from the two models. In reality, structural parameters are constant, but the (unknown) true model features expectational feedback, which the reduced-form models neglect. This feedback permits fears of parameter instability to become self-confirming. Within the context of a standard asset-pricing model, we use the tools of large deviations theory to show that even though the constant parameter model would converge to the rational expectations equilibrium if considered in isolation, the mere presence of an unstable alternative drives it out of consideration.