Dutch demissionary PM Rutte has warned the inhabitants of St. Maarten that the Dutch military personell on the island will henceforth take 'hard measures' against plundering and other lawlessness. He will confirm nor deny that this includes being allowed to fire live rounds in cases other than self defense. He just replied to that question that "hard measures mean, that you don't want to find out what those are".
There are now 230 soldiers on the island trying to provide aid, and restore order. People are no longer plundering supermarkets for food and water, the few supermarkets that weren't plundered donated all their stock to the military to supply to those that are in need. The island's car dealer donated all cars that were still working to aid the food and water distribution as well.
Plundering does continue though in hotels, homes and stores.
EDIT: this could become a political nightmare for Rutte. Technically, St. Maarten is no longer Dutch, it became an independent nation a few years ago, although financially it is under curatele of the Netherlands, and there's a lot of trouble with corruption ever since the independence.
As an independent nation, it should have it's own police restore order. But then again, local police are sparse, if they can be found at all, and aren't plundering themselves. St. Maarten does not have a military of it's own.
Early damage assessments think it could very well be over 2 billion euros of damage on the island. 1995 hurrican Luis caused 1.2 billion in damages, the damage now is way more extensive.
To put that in perspective, the yearly state budget of St. Maarten is slightly less than 200 million euros. They are never going to be able to cope with the financial damages themselves.
90% Of St. Maarten's budget comes from tourism. It's already been decided that rebuilding will focus on the harbor, airport and hotels rather than people's homes, because without tourism, there is no economy, nor jobs for people.