Honestly, much as I love Dissidia?
Bad idea for a tournament like this. The PSP nature means that you can't really WATCH the game, so the spectator aspect goes out the window (unless someone can set up a connection to the PS3? I've heard that's possible, but don't know the specifics), which alone kind of defeats the purpose of a public tournament to me. I would talk about the whole nature of BUilding Characters system the game has, which is akin to having Competitive DL Pokemon, but the existence of Arcade Mode does render that point moot, at least (Arcade Mode having preset character builds, levels, equips, etc. Its the best way to go about playing the game competitively on a casual level, if you ask me.)
So yeah, as someone who really likes Dissidia...I'm personally against the game as a con tourney idea. If we CAN hook the game up, and people actually are interested, then yeah, though I would still strongly suggest we keep the game to Arcade Mode, only so people who actually like the game a lot have an unfair advantage on those who don't, due to raising characters (and not everyone is going to be like Niu and max out EVERY SINGLE CHARACTER such that they'll all be raised...and even then, you still have set character skills, equips, etc. which takes time. Again, Arcade Mode is ideal for this reason alone.)
Also, OK, while you may have a bunch of EVIL suggestions...bare in mind only one of them is likely getting in (also, make sure it follows the criteria, when I finally set that up!)
I'll create a topic for the Music Tourney sometime in the future; naturally, we have a lot of time and I don't need to bang out the specifics yet, this was mostly declaring my intent.