The difference between the modeling system GAMS is that I can estimate the whole problem without thinking of the linear dependence problem with econometric system of equations estimations. However, I do not see how I could do the analysis without adding to external information like Frisch into the econometric model. All this I can get with GAMS in one model. For the interested persons, I attach the GAMS code (it is an amended version of a code I found in GAMS webpage).