The true purpose of copyright, patent, and trademark law has been the victim of malicious (and flagrant) abuse for a quite a while now. While their original purpose was to ensure that companies couldn't get their materials, names, and ideas stolen for the purposes of the thief making a quick buck, they have been subverted entirely for the purposes of... making a quick buck.
When a man makes a company called EGDE Gaming, that entitles him to several things: the ability to stop people from using that company's name to make money, for one. This does not however mean that he OWNS the word edge. Also, nobody thinks that the name of a game and who makes it are the same thing. Does one look at "Gears Of War" and think: that game is made by WarGear studios? Of course not: they look at the label to see who made it.
Worse yet, this company hasn't made a game in 15 YEARS. That means that the EDGE name has not been seen on store shelves for 15 years either. No worries Mr.Langdell, nobody will mistake this game for a creation of your company.
They might however been in danger of mistaking your company for 3D Realms.