Pariah's Shield + Stuffy Doll

Pariah's Shield
Stuffy Doll

Requires
All permanents on the battlefield. Pariah's Shield attached to Stuffy Doll. Yourself chosen with Stuffy Doll. Stuffy Doll does not have summoning sickness.
Steps
  1. Activate Stuffy Doll by tapping it, dealing 1 damage to itself
  2. Stuffy Doll triggers, attempting to deal 1 damage to you
  3. Pariah's Shield cause the damage to be dealt to Stuffy Doll instead
  4. Repeat from step 2
Results
Draw the game.