Prisoner's dilemma Watch

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fishpaste
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#1
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I've seen this loads of times in different subjects. I've never heard what the solution is, or if there even is one.

You and your mate have just been arrested for murder. You're both whisked off to separate rooms where you're questioned. The deal is this, if you both plead not guilty, you're both released, and all is good. However, if you plead not guilty and your mate pleads guilty, you get life, and he gets 10 years. If you both plead guilty, you both get life. What do you plead?
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Xenon
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(Original post by fishpaste)
I've seen this loads of times in different subjects. I've never heard what the solution is, or if there even is one.

You and your mate have just been arrested for murder. You're both whisked off to separate rooms where you're questioned. The deal is this, if you both plead not guilty, you're both released, and all is good. However, if you plead not guilty and your mate pleads guilty, you get life, and he gets 10 years. If you both plead guilty, you both get life. What do you plead?
You might have been arrested for murder, but did you actually commit the murder?
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fishpaste
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(Original post by Xenon)
You might have been arrested for murder, but did you actually commit the murder?
Yes.
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thefish_uk
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(Original post by fishpaste)
I've seen this loads of times in different subjects. I've never heard what the solution is, or if there even is one.

You and your mate have just been arrested for murder. You're both whisked off to separate rooms where you're questioned. The deal is this, if you both plead not guilty, you're both released, and all is good. However, if you plead not guilty and your mate pleads guilty, you get life, and he gets 10 years. If you both plead guilty, you both get life. What do you plead?
Not guilty.

Not guilty = you might get freedom or life

Guilty = you will get 10 years or life

Not hard really.
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loftx
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(Original post by fishpaste)
I've seen this loads of times in different subjects. I've never heard what the solution is, or if there even is one.

You and your mate have just been arrested for murder. You're both whisked off to separate rooms where you're questioned. The deal is this, if you both plead not guilty, you're both released, and all is good. However, if you plead not guilty and your mate pleads guilty, you get life, and he gets 10 years. If you both plead guilty, you both get life. What do you plead?

The prisoner's dilemma is the simplest example of game theory, a branch of mathematics based on predicting the best options to take based on the options other players take. Game theory can be used to analyse card games like poker, in economics to predict the behavior of firms and probably in lots of other places.

I can't remember how to analyse the prisoners dilemma (doing game theory in both maths and economics is very confusing) but in general a player will choose the stratergy which gives him the best outcome regardless of what choice the other player chooses.

A nice little introduction to game theory can be found here
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rednirt
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if there is a tonne of evidence to say you committed the murder plead GUILTY asap cos you'll get sentencing discounts and the ability to appeal if convicted.

If there ain't much evidence and you're feeling cocky, plead NOT GUILTY as in a crown court juries are sooo stupid you've only got a 40% chance of getting convicted. stupid really!
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rah
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(Original post by fishpaste)
I've seen this loads of times in different subjects. I've never heard what the solution is, or if there even is one.

You and your mate have just been arrested for murder. You're both whisked off to separate rooms where you're questioned. The deal is this, if you both plead not guilty, you're both released, and all is good. However, if you plead not guilty and your mate pleads guilty, you get life, and he gets 10 years. If you both plead guilty, you both get life. What do you plead?
i thought it was more if you plead not guilty your mate automatically is assumed to be guilty. or something, its more about trust, if he pleads not guilty then he is saying you did it..god i can't remember
Bigcnee
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(Original post by fishpaste)
I've seen this loads of times in different subjects. I've never heard what the solution is, or if there even is one.

You and your mate have just been arrested for murder. You're both whisked off to separate rooms where you're questioned. The deal is this, if you both plead not guilty, you're both released, and all is good. However, if you plead not guilty and your mate pleads guilty, you get life, and he gets 10 years. If you both plead guilty, you both get life. What do you plead?
This is not the Prisoner's Dilemma (in its original form, anyway).
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