In a multiplayer game, if you control Howling Mine and one opponent dies, does it still trigger for remaining opponents?

Howling Mine reads: "At the beginning of each player's draw step, if Howling Mine is untapped, that player draws an additional card." This is a triggered ability that checks at the beginning of each player's draw step, one at a time, around the table.

When a player loses a multiplayer game, they are removed from the game immediately (CR 800.4a). Their turn and draw step simply no longer occur. However, all remaining players continue to have their own draw steps, and Howling Mine's ability will trigger normally at the start of each of those players' draw steps, as long as Howling Mine remains untapped (CR 603.3).

There is no dependency or group-linking between players for this ability. The trigger evaluates the condition — "is Howling Mine untapped?" — independently at the start of each individual player's draw step. Removing one player from the equation has zero effect on the other players' triggers.

Example: In a 4-player game, opponents A, B, and C each benefit from Howling Mine. Opponent A is eliminated. On Opponent B's next turn, Howling Mine is untapped, so B still draws an additional card. The same applies to Opponent C. Nothing changes for the survivors.

The relevant rules are CR 603.3 (triggered abilities check their trigger conditions each time the event occurs) and CR 800.4a (a player who loses is removed from the game, but this does not alter other players' game actions).