Depends on the Fox's percent and what aerial moves the other character has. Low % won't knock him back far enough and he will probably grab the ledge again. Sometimes dull side sex kicks can leave him enough time to do a firefox and still be able to mix up the angle.
I think that when you are cornered you have to be very patient. Make your opponent believe that you are going to stand on your ground, and when they try to punish you for that is when you make your move to escape.
I don't know how or why it is though that good players know when the person will attack them in the corner. For me, it feels like a switch goes off in my head that says "he now realizes that I'm going to stay in the corner" and then I make my move. You could also say that I'm just staying a step ahead of them by not doing when they think I will do.
Sean, as always, I admire the way you're constantly playing the game: Your mind vs your opponent's mind, as opposed to, just trying to waveland with invincibility as fast as possible.
Also, this is indeed a very interesting situation, because there's always a distinct tension that you have to deal with playing in this situation. This tension is an invisible factor that affects the player's decisions, and I think this is one of those rare subtleties that separates the top players from the players below them. Also, character choice matters A LOT in these situations.
One of the reasons I've been playing so much sheik is her ability to deal with being cornered. She dominates the ledge, and when anyone tries to play that corner game with her, they are always risking getting gimped, even if they have the advantage and are trying to push it. Sheik always has that chance, she's just so dangerous.
Not to mention, she can Shino stall, and invincible waveland, making it very hard to corner her. Not to mention, if she manuevers her way from the edge and the opponent finds themselves repositioned...Like, ok, here's an example.
Say Sheik is shielding near the ledge, and Fox Ftilts her shield. Sheik decides to WD backwards onto the ledge out of shield, and shino stall. The fox moves forwards in an attempt to bait the Sheik into Fairing from ledge, but he WD's backwards to punish it. Sheik doesn't fall for the bait. She keeps Shino stalling.
Fox does it again, he moves forwards to see what Sheik does, and he WD's back. Sheik continues stalling. Now the Fox has tested the situation twice, and decides to make his move. But Sheik is ready for it.
Fox moves forwards and tries to PC edgehog the ledge in between Sheik's shino stall. Sheik Wavelands from the ledge, and now Fox is on the ledge, and Sheik is in the reverse position. And, Sheik I think is one of, if not the most threatening characters when she "corners" her opponent.
That aspect of Sheik alone is so appealing to me. Spacies have some good options too, Falco with his double lasers, although I don't think they're as well rounded as Sheik in that area, due to their ability to get gimped, making even playing that game risky.
Peach and Falcon I think get ***** in this game, although while cornering people, Peach and Falcon can do very well. Peach's floating near the edge can cover so many options, and if Falcon just dash dances in front of your face, the person who is being cornered has to be an extremely high level player, and have an insane amount of control and confidence to safely get out of that situation, since Falcon's DD can cover so many options.
Now, my main character Marth ***** when cornering people, and I LOVE that...But, he's not terribly well suited to getting out of the corner, or getting off of the ledge. He can do it just as well as many characters, but not well enough to consider this aspect of his game a disadvantage.
He does have counter from ledge, and a long sword to get off the ledge. And, when he's cornered and he's on the stage, people have to keep their distance which I guess in a way makes it harder to pressure Marth, because you can't be in that sword range. However, even though that threatens the opponent, if they're not in the range and Marth throws out an attack, his aerials are so laggy that they will instantly be punished.
So, it's a funny thing to think about. Marth has the advantage of people never wanting to be in a certain range vs. him, but what's funny about it is that, if he actually swings the sword, he gets punished, which is one of the very good and main ways people **** Marth, is juts grabbing him in lag. So, is it really that much of an advantage to have when looking at it? They're scared of that range but they're never in it, so if you do throw out an attack he gets punished.
I guess it comes down to self control and understanding what your opponent is wanting you to do, which I guess you can say about any part of Smash really. But, I still think that Marth could be better in this area, and I wish he was haha.