Damn. I dig both of these guys a lot. They were both in my top 5 along with the Greek heroes and Dumbledore. Seeing them have to fight in the first round is both really cool and just sad. I thought about this match a bit and tried to see how Light Yagami would win, but I just can't. He could take advantage of Snake's blindspot. He could perhaps even duck and cover depending on what the neutral battleground looks like. But can he cannot beat Plissken head-on, as I imagine all of these battles are supposed to go. Pissken is a war hero more than capable of hitting his target with his one good eye.
Light Yagami has to jot down the name "Snake Plissken" and stay alive for 40 seconds in order to win. Snake thrives on fighting against time, both in Escape from New York and Escape from LA. It would help to know what the battlefield looks like, but since we are only told it is neutral, than I can only imagine a plain area. Light is one of my favorite characters in all of literature, but Snake would be able to hit him. Light is still a human being. I have no doubt that Light could get under Snake's skin and probably live longer than he should. Dude is a criminal mastermind that was a global threat at one point. But Snake is an antihero who takes on global threats.
I really want Light to win. But I can't think up a way that he could without grasping at straws. If somebody can post a compelling argument for him then it will sway my vote.