Hostage Taker

• WWizards of the Coast2017-09-29
  Official Ruling
  In a multiplayer game, if a player leaves the game, all cards that player owns leave as well. If you leave the game, any spell or permanent cards you control from Hostage Taker's ability are exiled.
• WWizards of the Coast2017-09-29
  Official Ruling
  In a multiplayer game, if Hostage Taker's owner leaves the game while the card is still exiled and another player owns that card, the exiled card will return to the battlefield under its owner's control. Because the one-shot effect that returns the card isn't an ability that goes on the stack, it won't cease to exist along with the leaving player's spells and abilities on the stack.
• WWizards of the Coast2017-09-29
  Official Ruling
  If it's still in exile, the exiled card returns to the battlefield immediately after Hostage Taker leaves the battlefield. Nothing happens between the two events, including state-based actions.
• WWizards of the Coast2017-09-29
  Official Ruling
  If Hostage Taker leaves the battlefield before its triggered ability resolves, the target permanent won't be exiled.
• WWizards of the Coast2017-09-29
  Official Ruling
  Hostage Taker has received errata to prevent it from targeting itself. The correct Oracle wording appears above.
• WWizards of the Coast2017-09-29
  Official Ruling
  If a token is exiled this way, it will cease to exist and won't return to the battlefield. You can't cast it.
• WWizards of the Coast2017-09-29
  Official Ruling
  Once you begin to cast the exiled card, it's considered a new object. You'll control that spell and the permanent that spell becomes even if Hostage Taker leaves the battlefield.
• WWizards of the Coast2017-09-29
  Official Ruling
  Auras attached to the exiled permanent will be put into their owners' graveyards. Any Equipment will become unattached and remain on the battlefield. Any counters on the exiled permanent will cease to exist.

Rulings via Scryfall