I'm noticing that more and more stainless cookware sets are stating on their packaging that they are suitable for induction.
Lately Costco has a new stainless cookware set, induction compatible. Apparently it's because it uses 18/0 stainless on the exterior, and 18/10 on the interior, around an aluminum core. My guess is that the 18/0 exterior, being magnetic, lends the induction capability to the set.
However 18/0 stainless is also less corrosion resistant than 18/8 or 18/10 stainless. So I'm a bit concerned about the upkeep for the exteriors, such as in the event that food spills over and is not cleaned off immediately. It might cause corrosion, rust spots, pitting.
I have seen some sets that incorporate a magnetic steel plate in the core, along with the aluminum, and the inner and external cladding is 18/8 or 18/10 stainless. These might be a better solution.