I've heard complaints about allowing employees, clients, etc. to bring their own device and connect it to the network. What exactly is the complaint and how can it be a threat? If no network resources are involved, how is this a security problem? For example I don't see what it matters if someone brings there laptop from home and connects to the company wi-fi, just using the same internet connection doesn't open up a bunch of doors that I'm aware of? In fact some businesses use this as a selling point, such as Starbucks and Mcdonals advertise free wi-fi for anyone who brings there own (virus infected) device.
For this question I'm not considering "liability" of what someone does with particular IP address, for example someone can use a free internet connection to hack into a company and then the owner of the internet connection gets sued.