When having more than one type of inflation: say core inflation, subsidized inflation, and oil inflation, is it realistic to have three Taylor equations instead of one equation with alternatives targeting (which I often see )? the rational would be that CB adjusts its IR so as to ensure the equilibrium of the system.
No, because the central bank does not have three separate instruments, i.e. interest rates. What may be the case is that the central bank optimally reacts to a weighted average of different inflation rates.
Thanks a lot.