Do you mind not swearing?
I didn't swear. "Freakin'" is not a swear word. Could you please stop lying?
The Prisoners Dilemma is predicated on the Nash Equilibrium.
The Nash equilibrium is a solution to the Prisoner's dilemma. To claim the players came to the Nash equilibrium assumes they know the equilibrium strategy of the other "player". (Seriously, look it up. Oh you don't read books lol.)
Are you saying Rudy knew the equilibrium strategy of Amanda and Raffaele, Raffaele knew the equilibrium strategy of Rudy and Amanda, and Amanda knew the equilibrium strategy of Raffaele and Rudy? And they each behaved in accordance to their optimal game theoretic strategy? Or do you just not know what you're talking about and are saying stuff that you think makes you sound smart?
It is quite ignorant to assume the outcome is always, 'They will always betray each other'. It is simply not so.
Perhaps I wasn't clear, but the
classic example of the prisoner's dilemma has a Nash equilibrium of betrayal. Because the entire point of the example as constructed in the original literature was to show that even if cooperation leads to the best possible outcome, betrayal can be the Nash equilibrium and is the rational self-interested solution.
You are correct that other examples can have a Nash equilibrium of cooperation.
So my question for you is: did you construct a payoff matrix for Rudy, Amanda, and Raffaele? And have you shown mathematically that cooperation is the Nash equilibrium and best strategy?
If so, please show your work.
Alternatively you didn't actually do any of this and, like I said, you are just saying stuff that you think makes you sound smart. Without actually understanding any of it.