It is commonly thought that correctional officers ignore the minor rule violations in exchange for cooperation from the inmates This is referred to as?

Unspoken cooperation. If you treat them with respect and dignity, you will be surprised what kind of cooperation you will get in return. They are already stressed enough as it is. You must do this for all. If you only do it for some,that's discrimination and you will find yourself in litigation. Be firm and set boundary lines to what you will and will not except.