Colinearity in a two-households-model due to similar euler equations

[jpfeifer]

I think it may be related to

DSGE with three types of households

Hi, I want to construct a small open economy DSGE model, where there will be two Ricardian households and one non-ricardian. I tried to write a model, but got a problem with colinearity, as I had two Euler equations. So, is it possible to somehow correct the model?