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Introduction to Game Theory/Dominant Strategies

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At the end of the last lesson we looked at the Matrix table for the Prisoner's Dilemma. It was as follows:

Prisoner's Dilemma
Matrix Form
Person A
Confess Stay silent
Person

B

Confess (2,2) (1,4)
Stay silent (4,1) (3,3)

We also learnt how to determine payoffs from this table. However, how can we analyse this table? Let's take a look...