I'm sorry, but you are mistaken. You cannot patent a concept, only inventions. You don't have to actually build the invention, but it does have to be a concrete thing and and not a wholly abstract idea. This is why patents have specific claims, descriptions, and diagrams associated with them, and not just titles.
For instance, you can obtain a patent on a self-cleaning cat box by describing one and how it works[1], but if someone comes along and invents another self-cleaning cat box that works via some totally different method[2], your patent does not apply. You do not own the patent on the concept of a self-cleaning cat box, only the subset of all possible self-cleaning cat boxes that work more or less the way yours does.
For instance, you can obtain a patent on a self-cleaning cat box by describing one and how it works[1], but if someone comes along and invents another self-cleaning cat box that works via some totally different method[2], your patent does not apply. You do not own the patent on the concept of a self-cleaning cat box, only the subset of all possible self-cleaning cat boxes that work more or less the way yours does.
[1]: http://www.google.com/patents?vid=USPAT5113801 [2]: http://www.google.com/patents?vid=USPAT6701868