yadda yeadda yadda confessions of prisoners oh no a chart hide me

Question

anonymous · Answer

A Nash Equilibrium is a concept from game theory.  The general idea is the game is in a Nash Equilibrium when both players see their current position as the most strategically advantageous.  Here's an example.

Imagine you have two prisoners who commit a crime together.  They are arrested and brought in for questioning in different rooms and are unable to communicate with one another.

They both get the same deal:  If A confesses and B does not, A will be released and B will get 1 year in prison.  If both A and B confess, they'll both get 6 months.  If both A and B stay silent, they get 3 months.

We can represent the game with a chart:

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