Take It All

So unless you want to waste some of your precious time listening to me rant about the utterly ridiculous and stupid new game show "Take It All," I highly suggest you don't continue to read this post.
(totally off-topic question: Does anyone know how to change the text color of the "About Me?")

Brief overview of the game show: There are five people. The first person opens a "prize." The next person can either: open a new prize, or take the first person's prize. If someone wants your prize, you can't stop them--you have one "lock" that stops someone from taking your prize, only one in the game. At the end of the round, whoever has the cheapest prize has to go home empty-handed. There are four people; the game continues. Then there are 2 people left. They go to a "prizefight." So basically each person gets a cash prize, but they don't know how much it is. Then each player chooses either "Keep Mine" or "Take It All." If BOTH choose "Keep Mine" then BOTH keep the prizes they have accumulated through the rounds. If ONE puts "Keep Mine" and ONE puts "Take It All," the person who puts "Take It All" gets all the prizes-their own, and the other person's. If they BOTH choose "Take It All," then they BOTH get nothing. This last part is supposed to be the super-exciting part but it isn't, if you think about it, which is why this show is poorly designed.
(wow, still reading?) (go to http://en.wikipedia.org/wiki/Take_It_All_(game_show) for a better explanation of the game show--I can't explain things well).

So at first I thought OF COURSE you should choose "Take It All" because: IF the other person puts "Keep Mine" you get EVERYTHING. And if the other person puts "Take It All," maybe you get nothing, but at least the other person doesn't take your stuff.
Then, I sort of thought about it at a mathematical level. Assuming there's a fifty-fifty chance of choosing either "Keep Mine" or "Take It All."
IF you choose "Take It All" you have a 50% chance of getting NOTHING and 50% of getting EVERYTHING. If you choose "Keep Mine" you have a 50% chance of getting NOTHING and a 50% chance of getting HALF.
Well, DUH!!!! Are you going to flip a coin for $0/$200 or flip a coin for $0/$100?????!!!! (how I wish there was an interrobang key...but if it's on the Symbol section of Word I'm soo not going to copy-paste it and go through all that trouble, lazy me XD)
The last competition is basically determining whether or not you trust the other person enough to put "Keep Mine" so that you can both get money. So I thought maybe on the trust level, the game would be better designed.
But then I thought about it and it STILL makes more sense to put "Take It All." IF you DO trust the other person to put "Keep Mine," it's better to put "Take It All" 'cuz then you get EVERYTHING.
If you DO NOT trust the other person to put "Keep Mine," it's better to put "Take It All" because at least then the other person won't get your prizes.

If anyone's still reading this, and hasn't fallen asleep due to my poorly constructed, boring, rude rant, please tell me in the comments or Cbox whether there's something about this stupid show that I didn't quite understand!