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Hi, I am Nash. Although it seems that my theory implies that choosing the option "Foe" would give you the safest outcome each time, I myself would choose "Friend." Here is my reasoning:
Most of you seem to be drawing a payoff matrix in which the outcome of Foe/Foe is neutral. I would rather choose the outcome of Foe/Foe to be very negative for both sides.
My reason for doing so is this: I am either given money or not given money. I am not losing anything. However, I consider the outcome of Foe/Foe to be a loss because there is no gain for either player. (I do not consider "him not getting the money either" to be a benefit to me.) So if I choose "Friend" and my partner chooses "Foe," good for him! Either way I do not lose any money.
I have never liked it when people are malicious about these problems and would rather both of them not benefit than to let the other side "win." Sure, there are some circumstances in which this is mandatory (e.g., the Cold War) but in trivial problems I do not see a need for this behaviour.
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