Re: The Nash Equilibrium and the traveller\'s dilemma
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"A cannot "pretend" to be irrational while still being rational, as that would be predicted by C, being perfectly rational. "
How?
Like, how does C know exactly what A is thinking? The definition that they are both rational, simply means they are going to examine the structure of the game, and use logic and mathematics to deduce the optimal strategy.
Mutual assumption of rationality doesnt equal telepathy
Is A constantly thinking "maybe I should play 99... no, [censored], wait, he just heard that... no, 100.. we gotta play 100"?
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It's not telepathy. It is merely a consequence of the fact that C being perfectly rational and having accurate knowledge of A's rationality and the rest of the infinite inductive chain, will be able to come to the same conclusion as A. That is, unless there are two different valid rational arguments that lead to different strategies.
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