Prisoner's dilemma

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The outcome of a typical Prisoner's Dilemma game.
In game theory, Prisoner's Dilemma is a game in which many players can cooperate with you to help you discover your true sexual orientation. Other than being used as an exemplifying mathematical abstraction of a vast set of problems pertaining to fields as diverse as sociology, economics, philosophy and computer science, it is reported to be an annoyingly recurring thought when you are crossing state borders with more than one hundred grams of cocaine hidden somewhere in your car.

Contents

[edit] Extensive form representation

The following is one of the most commonly adopted formal representations of the Prisoner's Dilemma, using the outdated but widely accepted "Infocom notation":

Showers Room                Score: 0   Moves: 0   Anus integrity: 100%

Showers Room


You are in a vast tiled room filled with evenly spaced showers. You are naked, and a bar of soap has just slipped away from your hands, landing and sliding for a few inches on the wet floor in front of your bare feet. The other inmates suddenly stopped showering and are staring at you. They are tens of huge, tattooed men with extraordinarily large peni shoulders. All exits are blocked by sturdy, sex-starving brutes.


A foaming bar of soap is lying at your feet.


> _


[edit] The Dilemma

The dilemma here is whether the player will try to bend and pick up the soap or not. The outcome of the game depends on this fundamental choice AND on the decision of the other inmates on whether they should cooperate[1]. Here's a normal form representation of the possible outcomes of the game and their payoffs for the player:

Inmates don't cooperate Inmates cooperate
Prisoner bends o O
Prisoner doesn't bend 1 o

By looking at the above synoptic table it's quite obvious that, even if you don't bend, they'll have their ways with you if they want to. Kneeling instead of bending to retrieve the soap could be seen as an hidden strategy[2] leading out of the dilemma, but it may be dangerous nonetheless.

[edit] The Iterated Prisoner's Dilemma

Ah-aah! So that had nothing to do with soap and slippery hands! You actually like it, don't you you little bitch?

~ John Nash on Iterated Prisoner's Dilemma.

Generally speaking, the Prisoner's Dilemma will be re-iterated at least each time you'll be showering, so you'd better learn how to play it, and learn to play it well. Should you fail, you'd better resort to some palliative treatment to ease the side effects of each subsequent iteration of the game.

[edit] Good luck

You'll need it.

[edit] See also

[edit] Footnotes

  1. This doesn't mean that they will cooperate with you, this means that they will "cooperape" you.
  2. See Marek M. Kaminski, Games Prisoners Play (2004). Princeton University Press. ISBN 0-691-11721-7

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