[Rules] A question about stack

It is the same case for the Dwarf Rangers.

The problem is wich one take action before the other...

Player 1 action: Sacrifice the dwarf with Grudgethrower
Player 2 action: Heal the Bloodsworn
Player 1 action: Deal 1 damage with Dwarf Ranger
Player 2 action: nothing

If the stack is like that, the Bloodsworn should die before healing... since it resolves backwards...

sry my bad. All abilities are Forced, so
check out my corrected answer.

I assume the original answer said something about the stack, since all the replies reference it.  There is no stack for forced actions, in case that was unclear to anyone.

However, I think your answer is incorrect.  Some time back, they errata'ed all cards that say "after" to instead be "when", otherwise it was a vague trigger, since you could technically trigger the effect long after the event occurred  (All instances of “After your turn begins” should read “At the beginning of your turn.” All instances of “after” in card text boxes should read “when.”).  This means Dwarf Ranger triggers at the same time as Bloodsworn.  Since its a tie, the active player gets to resolve his effects first (FAQ v1.1 and the Rules Summary here).  In this example, that would be the Dwarf player, so the Ranger would kill the Bloodsworn before his effect is resolved.

Just checked FAQ.
Thanks Entropy, i've missed that "when" and "after" thing.

Not quite.  If the forced effects belong to different players, the active player resolves all his forced effects in the order of his choosing, then the other player(s) do the same, in turn order.  The active player can't choose to resolve his opponent's forced first, for example.