I am working on a two country model for which I can compute the steady state with paper and pencil for a specific (and quite restrictive) parametrisation, and I can simulate it perfectly. However, I would now like to allow for heterogeneity of parameters across countries. In this case, I can no longer calculate the steady state analytically.
I was wondering whether there is a way to write a Matlab function that searches for the steady state numerically, given the steady state values of part of the model (which I still manage to calculate by hand).
Any help (and specifically any example) on this is greatly appreciated, thanks!!!