• \(A\) does all the asking, \(B\) has all the decision making power
• Population \(A\)’s match never goes up at best, they stay the same
• Population \(B\)’s match can never go down. At worse, they stay the same.
• Population \(A\) always ends up with the highest-preferred person in their realm of possibility
• Population \(B\) always ends up with the lowest-preferred person in their realm of possibility