Do you agree with the notion that Prostitution helps minimize incidents?

Dubai, Bangkok, Vancouver. Amsterdam - cities which have legalized prostitution in one form or the other - have fewer incidents than say, New York City where it is still illegal and hence, underground and controlled by the Mafia. I think prostitutes help unease the mental and relationship vacuums in the lives of many single men, especially Expats who might otherwise resort to , or at least unwarranted ual molestation in the work place. Not all men can have live under vow of abstinence.