Appears in collection : Nexus Trimester - 2016 - Fundamental Inequalities and Lower Bounds Theme

The duality for entropic matroids and polymatroids is discussed under the lens of information inequalities. We define the dual of an information inequality and ask whether the new dual inequality is a valid information inequality or not. We will argue the case of rank inequalities, Shannon-type inequalities and finally the case of non-Shannon type inequalites (the most interesting case).