NODE 990799e9Re: Twenty Bank Robbers -- Game theory:)
jim bell <jimbell@pacifier.com>Fri, 26 Jul 1996 05:01:48 +0800
At 09:09 AM 7/25/96 -0500, Igor Chudov wrote:
>Here's a puzzle for our game theorists.
>
>Twenty cypherpunks robbed a bank. They took 20 million bucks. Here's
>how they plan to split the money: they stay in line, and the first guy
>suggests how to split the money. Then they vote on his suggestion. If
>50% or more vote for his proposal, his suggestion is adopted.
>
>Otherwise they kill the first robber and now it is the turn of guy #2
>to make another splitting proposal. Same voting rules apply.
>
>The question is, what will be the outcome? How will they split the
>money, how many robbers will be dead, and so on?
My guess? They all agree to kill whoever made that suicidal rule.
Otherwise, all but two would end up dead.
Jim Bell
jimbell@pacifier.com
NODE 0f6d75d7Re: Twenty Bank Robbers -- Game theory:)
Simon Spero <ses@tipper.oit.unc.edu>Fri, 26 Jul 1996 06:43:26 +0800
On Thu, 25 Jul 1996, jim bell wrote:
> My guess? They all agree to kill whoever made that suicidal rule.
> Otherwise, all but two would end up dead.
But the people at the start of the line know that if they don't
hang together, they will end up dead, and if that they act purely
selfishly only the last two will benefit. Because they want to stay
alive, a better solution for the first person to propose equal shares,
which would be opposed by the last two players, but supported by the rest.
He could also split the money only amongst the first half of
the gang, since he only needs half the votes.
Simon
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