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Unread 29 May 2003, 15:19   #51
pablissimo
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Quote:
Originally posted by W
It makes a difference whether the players accept "don't matter" votes, and whether the proposers can rely on it. Would someone accept $1 from #1, if they know they're gonna get $1 from someone else? Would #1 rely on someone accepting $1 from him instead of one of the later players? If yes to both:

If it gets down to #4, he gets all, so #5 can't let that happen. He will accept ANY offer #3 makes, and as such #3 will always propose 100-0-0 and get it. Thus #4 and #5 know that if it gets down to #3, they get nothing, and as such will accept any offer #2 makes. #2 will thus always propose 100-0-0-0 and get it. So #3 #4 and #5 all know that they'll get nothing no matter what. #1 can safely propose 100-0-0-0-0 and be sure to get it.
#2 can't propose 100-0-0-0 because #3 won't accept (obviously), #4 doesn't need to because if it gets to him he can claim all 100, and #5 won't because there's still a good chance #3 will offer something better (which he'll have to because he's not going to get #4's vote)

Edit:
That and there's no reason for anybody to accept #1's 100-0-0-0-0
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Last edited by pablissimo; 29 May 2003 at 15:26.
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Unread 29 May 2003, 15:31   #52
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Quote:
Originally posted by pablissimo
#2 can't propose 100-0-0-0 because #3 won't accept (obviously), #4 doesn't need to because if it gets to him he can claim all 100, and #5 won't because there's still a good chance #3 will offer something better (which he'll have to because he's not going to get #4's vote)

Edit:
That and there's no reason for anybody to accept #1's 100-0-0-0-0
You obviously missed the purpose of my post. Read the first paragraph of it again.
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Unread 29 May 2003, 15:33   #53
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Quote:
Originally posted by W
You obviously missed the purpose of my post. Read the first paragraph of it again.
Dude, I don't do 'reading posts', it's sooo last year =/

Damn.

Though I still don't see the purpose of the post tbh. I'll return with aspirin.
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Unread 29 May 2003, 18:44   #54
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Quote:
Originally posted by W
It makes a difference whether the players accept "don't matter" votes, and whether the proposers can rely on it. Would someone accept $1 from #1, if they know they're gonna get $1 from someone else? Would #1 rely on someone accepting $1 from him instead of one of the later players? If yes to both:
All players want the best possible outcome, not the equally worst.
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Unread 29 May 2003, 18:45   #55
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Quote:
Originally posted by MrL_JaKiri
All players want the best possible outcome, not the equally worst.
In W's game, if the vote doesn't matter, since the student expects the same either way, she votes "don't care".
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Unread 29 May 2003, 18:49   #56
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Quote:
Originally posted by queball
In W's game, if the vote doesn't matter, since the student expects the same either way, she votes "don't care".
There is no abstention, and they all vote the way that will get them the most.
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Unread 29 May 2003, 18:50   #57
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Quote:
Originally posted by MrL_JaKiri
There is no abstention, and they all vote the way that will get them the most.
'In W's Game'
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Unread 29 May 2003, 19:07   #58
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Quote:
Originally posted by MrL_JaKiri
There is no abstention, and they all vote the way that will get them the most.
I know. But Nod's question assumed a special kind of player, that didn't cooperate with other players. #4 and #5 can with some cooperation in their voting get more than without any cooperation. So by not cooperating, they do not vote in the way that would give them most.

Nod did not make it clear what a voted would do if faced with the choice of accepting 0$, and voting out the guy offering them 0$, and still get nothing.
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Unread 29 May 2003, 19:09   #59
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Quote:
Originally posted by queball
In W's game, if the vote doesn't matter, since the student expects the same either way, she votes "don't care".
Where did I say that? I merely said that it was unspecified how they would vote. I put forward the solution for the scenario where if a player knew he could get the same amount in different ways, he accepted the first offer.
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Unread 29 May 2003, 19:13   #60
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This is why you assume "Best Play". The other people's responces are predictable, so you chose the responce that guarentees the highest pay out to you.

Obviously this means taking the money at the first opertunity, since if you say no there's a chance you may get nothing.
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Unread 29 May 2003, 19:17   #61
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Quote:
Originally posted by ELeeming
Obviously this means taking the money at the first opertunity, since if you say no there's a chance you may get nothing.
It's all deterministic, there's no chance involved. You don't need to assume people jump at the first chance they get to get the result. There's no ambiguity. I believe.
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Unread 29 May 2003, 19:20   #62
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Quote:
Originally posted by queball
It's all deterministic, there's no chance involved. You don't need to assume people jump at the first chance they get to get the result. There's no ambiguity. I believe.
Chance was the wrong word to use there. I meant that if you say no to the first offer of the money, somone else will get in offering you 0, and so you are better off to take the first pay out.
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Unread 29 May 2003, 20:20   #63
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Quote:
Originally posted by ELeeming
This is why you assume "Best Play". The other people's responces are predictable, so you chose the responce that guarentees the highest pay out to you.

Obviously this means taking the money at the first opertunity, since if you say no there's a chance you may get nothing.
Taking what money? You will always get nothing, no matter what, as those below you know they'll get nothing if you get to propose the split, so they'll accept any offer those in front of you make. Unless you're the first to propose a split, in which case you get it all.

Best play would be to cooperate, to make deals, to backstab, to auction, etc etc etc. When all this is ruled out, best play is to grab it all while you can. Why should anyone but the next guy to propose vote against you? They'll still get nothing.
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Unread 30 May 2003, 10:27   #64
ELeeming
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Quote:
Originally posted by W
Taking what money? You will always get nothing, no matter what, as those below you know they'll get nothing if you get to propose the split, so they'll accept any offer those in front of you make. Unless you're the first to propose a split, in which case you get it all.

Best play would be to cooperate, to make deals, to backstab, to auction, etc etc etc. When all this is ruled out, best play is to grab it all while you can. Why should anyone but the next guy to propose vote against you? They'll still get nothing.
which is why you are asked to propose a solution for the first player.
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