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pengvado comments on Just for fun - let's play a game. - Less Wrong
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Draws are possible in Magic (kill both players at the same time), but they're quite rare. Unless for some reason you wanted to draw instead of win, in which case you could do so intentionally.
In an online tournament, in addition to anything the tournament format itself allows, there's always another way to get eliminated: disconnect / failure to show up. I don't remember the disconnect rate in Magic online being particularly high, but a tournament does involve a significant amount of time for people to misplan.
Drawn games are rare, but drawn matches are fairly common. A match is drawn if it runs over the time limit without either player winning, or if it's best 2 of 3 and each player has one win when the time limit is reached.
I didn't consider disconnects. Those would tend to greatly increase the forfeit rate, over the forfeit rate I observed from in-person tournaments.