Transparent Newcomb is well-posed but, I admit, underspecified. So add this rule:

• Omega fills box B if you would one-box no matter what, leaves box B empty if you would two-box no matter what, flips a coin if you would one-box given a full box B and two-box given an empty box B, and doesn't invite you to his games in the first place you if you would two-box given a full box B and one-box given an empty box B.