The traditional arcade seem to be a dying breed these days. Probably due to the abundance of console and PC games nowadays. Most arcades in my area are now just a part of something else, such as a pizza joint, bowling alley, movie theater, or larger entertainment center (Laser Tag, miniature golf, etc.). There are two exceptions: One is a full arcade in the mall (mostly rundown machines, but somehow surviving). And the other is "Nickelcade", a run down place with older machines (and redemption machines), but cheaper (nickels instead of quarters). However to their credit they are still in business after about ten years, and it's also where I bought my used cabinet.
Perhaps you could expand your arcade idea into an "Amusement Center", and you might have a better shot of making it. However, you certainly won't be "rolling in dough" (be realistic). The LAN party places haven't taken off here, but if it was also combined into this larger "Entertainment Center", it might fly also.
I think what bluGill said is Key "Location, Location, Location". You need to be where the people are; where you have a captive audience. I think that's another reason why most arcades are a part of something else. The people are already there, and the games are "supplemental income".
Someone mentioned arcades in airports. Since most of these are adults, perhaps something like a few Ultracade machines (similar to a MAME machine but legal for commercial profit) might work there. A lot of adults nowadays grew up with video games, so this might be appealing to our retro or nostalgic side.
Just some thoughts.