The mother says that she doesn´t have the ability to take care of the child, while the father says having the child would affect his job and the kid itself. The judge might solved this case in an unusual manner, by an auction: the parent willing to give more money to the other will be "free" of taking the child´s custody.
It turns out that this is not the first case of this matter in China. In 2000 another couple didn´t wanted custody of their 9 years old daughter. The father end up accepting the custody for the sum of aproximately 35,000 US dollars [250,000 Yuans (¥)] given by the mother of the child.
What worries me more out of this issue is the emotional well being of the child, even though the kid might be too small to know what´s happening, children can be very intuitive and sense when something´s wrong with their parents.