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If you look at the definition for Nash equilibrium, you can see that if both $A$ and $B$ are in $\texttt{State 4}$, then if $A$ changes their mind that would mean that they would be defecting from a situation where they get $1$ point to one where they get $0$, a net decrease since at $\texttt{State 4}$ they are both defecting. Similarly for player $B$. The ...



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