I would make a random decision (using random number generator), since the only alternative I see is an infinite recursion of thoughts about the Maximizer. There is not enough information in this case to even assign non-trivial probabilities to Maximizer’s C and D possible decisions because I don’t know how the Maximizer thinks. But even assuming that the Maximizer uses the same reason as I do, only with different value system, still I see no escape from the recursion. So a:=random(0..1);if a>0.5 then C else D (is it rational to expect such probabilities?) and press enter… If the decision process doesn’t converge, we should take either possibility, I think.
I would make a random decision (using random number generator), since the only alternative I see is an infinite recursion of thoughts about the Maximizer. There is not enough information in this case to even assign non-trivial probabilities to Maximizer’s C and D possible decisions because I don’t know how the Maximizer thinks. But even assuming that the Maximizer uses the same reason as I do, only with different value system, still I see no escape from the recursion. So a:=random(0..1);if a>0.5 then C else D (is it rational to expect such probabilities?) and press enter… If the decision process doesn’t converge, we should take either possibility, I think.