I want to be able to uncheck a radio button by clicking on it.
So, if a radio button is unchecked, I want to check it, if it is checked, I want to uncheck it.
It is better UX to have a default-selected "Select none" explicit option, and not let the user uncheck any radio button.
(List item 9 in this nngroup (neilsen) article:
http://www.nngroup.com/articles/checkboxes-vs-radio-buttons/