My high school english teacher taught us a little cheer: "each, either, neither, the bodies and the ones!" (it's important to say it like a cheer). :) By "the bodies," he meant somebody, anybody, etc and by "the ones" he meant anyone, someone, noone, etc. These are all words which precede singular verb conjugations. In the sentence "neither of the boys IS going to the game," one is implied after neither and so the verb is singular.