Ok, well since I don't feel like reading all this, I'm just gonna state my personal experiences with the balance issues, and hope I have not repeated anyone, and have added at least slightly to the discussion.
Originally I was thinking melee was more unbalanced because brawl seemed to cater more to the "sit-there-and-c-stick" strat. Then After reading a few more posts here, I started reconsidering. I started to think of all the characters in brawl who were just plan terrible, so I sort of decided brawl was more unbalanced. Then I left my computer, started pacing and really thought about if for a good 3 minutes. Here's what I came up with...
First, to solve any equation, you need a variable, and constants (don't get smart with me, I've taken calc and ****, you know what I'm getting at). The variable in this case is balance. the constants, not so easy.
I thought of playing Brawl with my friend. On average, I'd say I could beat him 4/5 times. Thats 80% of the time. This is assuming we are both Full, another constant. When I say Full I mean we are both using our main, me Rob, and him Lucas.
Then, the other equation, I basically did the same thing but for melee. When we're Full, me Young Link, him Jiggly Puff, I'd say it comes to about 1/2, 50%. This is assuming I'm really serious, his Jiggles is ferocious. Ok, then my worst character in melee is definitely Bowser. I thought about it, and decided I'd win 1/300 times. I honestly don't think I could, (at my current level) beat my friend with Bowser, unless he happened to fall into one of Bowser's obvious smashes, or I get lucky. There is a very small chance he'd mess up 4 times in a row at a certain percent, close to the edge. I estimated this happening once every 300 matches, a .333333% chance of winning. He can lock me in an unavoidable death combo with Jiggs.
The final peice to this puzzle (sorry, this is getting long) is his Ganon vs. my Rob. Now, this is where level becomes a problem, but using our normal skipping around through custom stages, I'd say he could possibly beat me once every 100 games (roughly, I mean I'm rounding on these estimates, I could prolly do this more accurately, but that'd take effort, that I'm not willing to expel). Thats a 1% chance of winning. I cannot lock him in a for sure death combo.
My conclusion is this: the gap between worst characters and best characters in melee is bigger. In melee, there are just certain techniques you can abuse to render your opponent helpless. I don't wave dash, or l-cancel, or dash dance, my friend does. Yet we're still at 50/50 at Full. In brawl, I can't control him as easily. He can use annoying edge techniques, and DI away like I can't do in melee.
Conclusion to my conclusion: brawl is more balanced.
equations:
*lower index is better. An index of 1 would be a perfectly balanced game.
Brawl...... (80)/(1) = 80 Winning index
Melee..... (50)/ (.33333) = 150 Winning index
Feel free to say this is pure bull ****, but this is my honest opinion. Try this stain of logic with your characters and friends from melee/brawl. I mean, the difference in our (me and my friend) skill in the games is apparent, but the amount of times I could potentially lose in melee is ridiculous. I've tried to estimate the numbers as best I can. Next time we play, I'll try and pay very close attention to this, although once my friend masters b-sticking, all this is going to change *sniff sniff
*Notice I did the better player in brawl vs. the worst player. This adds to the discrepancy, as well as the fact that Brawl has more players, and various good vs bad combos. From that fact, the overall winning idexes for the game should be alot closer. its still really close imo, but one things for sure in my mind. You lose alot more in worst vs best in melee.
Hmmm...that was a little inconclusive, and frustrating, eh?