[ExI] nash equilibrium again

[Adrian Tymes]

On Mon, Feb 17, 2014 at 7:47 AM, spike <spike66 at att.net> wrote:

> They sit on the beach and start to divide the gold doubloons in the usual
> way, dealer starts the old one for you, one for you, one for me, repeat a
> number of times, but the dealer was a logic professor before she gave it up
> for the piracy business.  She knows about Nash equilibria.  The next round
> goes one for you, one for you, two for me... Both the other pirates turn
> their weapons on her, but she knows neither will fire, for as soon as
> either one does, that guy is unarmed with one dead pirate (the dealer) one
> armed pirate and a sack of gold coins.  The outcome of that doesn't require
> a math degree to predict.
>
>
>
> She is right of course, both aim their weapons, neither fires.  So she
> continues, one for you, one for you, three for me, and the next time, five
> for me, and keeps Fibonnacci-ing for a few rounds, but then abruptly stands
> up with the remaining gold, and bids them good day.  She walks away with
> most of the gold, knowing neither will shoot, for the same reason as
> before: he who shoots, dies by the other.  Nothing personal, it's just
> business, it's what pirates do, along with saying arrrr much too often.
>

Arr, but when she's dealing the coins, she don't have easy access to her
gun.  Shoot the other pirate, take his gun before it falls, make sure you
can grab it and fire it at the ex-professor before she can get her gun
out.  All for me and none for you, yahaharr.
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