I think the number of new tickets we get per day, increases each day.
I don't recall the "multiplier" for this swap, but here's an example:
Say we get two tickets on day One.
We might get four tickets on day Two.
And 8 on Day Three.
Or is it: 3, 4, 5, 6?
Anyway, after the first 4-6 days, you'll probably have all your 5, 4 and 3-star choices that someone else didn't get instead, and be adding to your 1 and 2-star choices. Sometimes "wish-list" activity has picked up then, too, and people add more pkts in response to specific requests.