We know that GMM estimator is efficient estimation techniques for dealing with endogeneity but can we used this estimation for study model having mediating variables. I have recent come across article which employed Fixed Effect using three step procedure by estimating three equation. One for direct causal relationship (DV with IV), Second with DV and MV and third DV with both IV and MV.
DV= Dependent variable
IV=Independent Variable
MV= Mediating variables
Can we employ GMM by following same procedure?