New And Improved Wallet Game

[UprightCreature]

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jazza's own words were "distribution function" not "density function." Did he mean it? I don't know.

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True I read it too fast and read what I wanted to. I assume he meant a probability density because with x = 1/sqrt(k) his average value would be $2 and he would lose anyone who chose a constant value > $2.


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It's an interesting curiosity that the simulation is probably going to return incorrect results

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These kind of problems tend to be very bad for monte carlo simulations. So much of his ev is from values of k that are extremeley small, in fact an infinite amount, that you literally miss all his EV when you try to simulate it. If you somehow did have a perfect non discrete RNG you would still need to run a number of trials >> than the large constant your oponent chose. With the numbers being discussed that would take a really long time. Closed form pen and paper solutions are better here.