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the stack doen't have to resolve completely for a player to die. It doesn't matter that triggered abilities keep triggering over and over as long as you let them resolve one by one until your opponent is dead and at that point the state of the stack doensn't matter. Each ability on the stack resolves seperate of the rest of the stack and damage is dealt each time. It's not an infinite loop because it ends when your opponent dies, that a finite condition. A true infinite loop whith no clear end results in a gameloss due to slowplay which is concidered cheating but this is not the case here.

The stack DOES resolve. Even in the event of a multiplayer game with one opponent having shroud/hexproof, it would kill everyone else but that player.

You gain life, they lose life in a loop. After each step of gain or loss, a new trigger is put on the stack and state based actions are checked before priority is given. Anyone can attempt to interrupt the loop with instants or abilities. If they die from the damage, they will be removed from the game when state based actions are checked. The stack not being empty at this point is irrelevant as the game is over or anything belonging to the dead player is removed from the game and it continues without them.

Once they are removed from the game and as the stack attempts to resolve, anything targetting them will fizzle as they are no longer legal targets but you'll still gain life off their killing blow and be required to target the next player until everyone that you can target is gone. You'll then have to deal with the hexproof/shrouded player if there is one.

There's another reason it would not be a draw as the blood bond combo cannot target you for life drain only gain. It would not matter if it did anyway as the combo would drain and then gain infinitely meaning if you did a single point of damage with the combo out, you would have one point done then gained lost then gained, causing your life to jump back and forth infinitely. but you cannot be the target of the drain. so if you had the combo out you would win, unless a player had shroud or hexproof.