It would depend on whether or not they are loose or tight I suppose. I will assume you are talking about a LOOSE aggressive player, who seems to come over the top with a raise on every single hand.
For MTTs, this is my strategy:
Early - I am super tight early. Probably too tight, but I'm comfortable with it. I'll play AA - JJ, AJ+, and that is about it. There are a few reasons for this, based on my understanding of the game and the math:
1) Doubling up early doesn't matter so much, while getting stacked will end your tournament. Even if I'm dealt 8d9d and get into a raised pot, hit a straight flush, and take someone's entire stack, it doesn't really matter early in a tournament. A double-up in the first 2 or 3 stages will probably not even be worth a big-blind by the time the bubble bursts.
2) The risk of losing your entire stack early is the same exact risk of losing your entire stack later in the tournament. If I get caught with a straight vs a full house early in the tournament, and lose my whole stack, my tournament is over. If I get caught with the same hand later in the tournament, my tournament is still over.
SOOOOOO for me, there is minimal reward for winning big pots early and maximum risk for losing them, so I will rarely try to get into a big pot unless my edge is giant (my range as seen above).
The caveat to this is if I am, say, on the button with suited connectors with the blinds being passive and there are a few limpers, I'll limp to a flop and only put my money in with monsters. That way, my risk is minimized (NO I am not betting a top pair of 9s when I had 8s9s, I'm betting the flush or straight only, once again risk vs reward).
3) Most tournaments will see some crazy stuff happen early in a tournament. Some guy shoving with K4 and flopping trips vs KJ. I avoid these weird situations like a plague. Although variance is part of the game, it IS A TOURNAMENT not a cash game. Variance will end your tournament. Variance will not end your
bankroll in a cash game. I let the gamblers gamble until they clear up. They will always clear up eventually.
Middle Stage
In the middle stage, I really take a table read and play the exact opposite of my table. If my table is still loosey goosey, as a lot of tournaments will be early, I stay tight. Slowly opening up as my table tightens up (specifically big stacks will tighten up mid-stage, which is great for me. They want to wait out a higher place, which I am cool with because I am about to catch up soon).
Once the ante's start coming in, I will start stealing where possible and 3-betting weak raisers. The blinds+antes are now worth some money. My range opens up to probably J10+, any 2 face cards, 55+. Any hand that I can realistically defend with if one of my steals gets caught. DEPENDING on the table I'll steal with some oddball 62o or something but that's really really rare and depends on a lot of factors.
Late
I'm assuming by late, we mean near the money bubble. This depends much more on my stack size and players remaining than anything. If everything has went to plan, I'll be top 10% of stacks at this point. This is my fun part of the tournament. I start being able to jam weaker
hands into short stacks because of the effective blinds and steal a whole lot of chips. I can usually make a run to top 10 pretty quickly once I recognize that the table has realized the bubble is near and they tighten up.
Once the bubble pops, I rinse and repeat in a shorter time frame. Tight > Looser > Even Looser if stack warrants. Same once the final table shows up.
If you have any questions, feel free to ask!