Incentives matter in paternity as with everything else

It is hard to ignore all the competition by men claiming to have been the father of Anna Nicole Smith's child. Apparently men sometimes deny responsibility for being a father of a child when they are not married to the mother. Surely there are a few exceptions. But when has there ever been this number of men (four possibilities have been mentioned to date and possibly there are more to come) who claim to be the father of the same child. Possibly this is due to Anna Nicole being unusually promiscuous, but if she was only worth $500 and not possibly $500 million, would you have a married man and others coming forward claiming that they were her child's father?