The behavior of the perturbation map is analyzed quantitatively by using the concept of contingent derivatives for set-valued maps under Benson proper efficiency. Let W(u) = Pmin[G(u),S],y∧∈W(u∧). It is shown that, under some conditions, DW(u∧,y∧)?Pmin[DG(u∧,y∧),S] , and under some other conditions,DW(u∧,y∧)(u)?Pmin[DG(u∧,y∧)S]. |