Opponent and me are in 1 life, He attacks me with 2 creatures, I block with one and use Arcbond on it, I lose first or both?
What happens if the creature that block and targeted by Arcbond is Boros reckoner receive 3 damage and opponent is on 6 life?
Both Arcbond and Boros Reckoner generate triggered abilities, that need to go through the stack before having any effect, while losing the game for having 0 or less life is a state-based action and is pretty much immediate. So if you are at 1 life and you get dealt combat damage at the same time as a creature that had Arcbond resolve on it (and/or Boros Reckoner), you lose the game before the ability(ies) can even be put on the stack. To note, if this was multiplayer and there were other players remaining, the abilities wouldn't go on the stack at all, because their controller has left the game.
Now, if you don't get dealt combat damage and only the creature does, the game may well end in a draw if Arcbond's effect does get to damage both players. If the creature is a Boros Reckoner, you have two triggers to put on the stack at the same time, and you place them in the order you want. If they are at 6 and you at 1, you will want to place the Reckoner's trigger on top of the stack so it resolves first, so that the game is at least a draw and not a loss for you.
I'm a former judge (lapsed), who keeps up to date on rules and policy. Keep in mind that judges' answers aren't necessarily more valid than those of people who aren't judges; what matters is we can quote the rules to back up our answers. When in doubt, ask for such quotes.
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What happens if the creature that block and targeted by Arcbond is Boros reckoner receive 3 damage and opponent is on 6 life?
Now, if you don't get dealt combat damage and only the creature does, the game may well end in a draw if Arcbond's effect does get to damage both players. If the creature is a Boros Reckoner, you have two triggers to put on the stack at the same time, and you place them in the order you want. If they are at 6 and you at 1, you will want to place the Reckoner's trigger on top of the stack so it resolves first, so that the game is at least a draw and not a loss for you.