It gives the pedophiles a total control over their victim and this is what they desire. Total control and obedience. It is just like BDSM where the subdued's control is in the hands of his master. In case of conseting adults involved in BDSM the slave can stop the act any time he wants but in case of pedophiles they have total control over the children who are helpless and unable to stop the abuse.

I have seen married guys wanting to get married to teenage girls in Afghanistan. (Dont ask me Why)

Power corrupts and absolute power corrupts absolutely

(I am not a shrink I am just stating what I read in a research paper)