Let's say, in a multiplayer late-game (3+ players) I want to cast/activate anything during another players turn. Everyone is rather low on life, and in response to my spells/abilities on the stack another player reduces the life of the player whose turn it currently is to 0 or below, because of which he loses the game.
It is obvious, that anything that player controls/owns is taken from the stack and the battlefield and his turn ends immediately. But what happens to my stuff on the stack? Does it fizzle or still resolve?