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Collision detection between a bunch of AABB

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I have a lot of moving AABB bouncing on the screen. Doing collision/response between 2 AABB is fairly easy, but how do you handle this when you can be pulling AABB's apart but making them getting into another AABB? I mean something like this scenario:

  • Whe have 3 AABB.
  • We check if first one collides with the other two. No collision is found.
  • We check if second collides agains the third (we don't need to recheck agains first). We find a collision, we separate second AABB form third but it intersects now with first one.

    This will produce a bad response/collision detection. How do you handle this chained collisions?.

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