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Non-Rematch / Rematch

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nanoduckling:
They are practically different issues, unfortunately they have some of the same underlying causes. That said if the intent is to fix this one problem in isolation one option would be to put some distance or metric on the space of possible games and penalise close games to the previous one. Hamming distance between lobbies would be the obvious one, just add (or subtract depending on how the rating system works) MaxDist-LobbyDist to the rating for each possible lobby in the queue. This would slow down the queue though since it would cause MM to think there weren't any good lobbies available when there might be.

BlackenedPies:
Rematch should be changed to scramble. Tweaking how MM decides suitable matchups doesn't help when the queue is empty. There's a good reason for MM creating the same lobby again. Putting you in a very low MMR lobby and swapping in a low MMR into your old lobby doesn't help balance.

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