New And Improved Wallet Game

[Jazza]

well i apoligize if i made you feel bad, but could you answer one last question of mine:

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if two players use the same strategy, the 1/x^2 strategy i've been going on about, what's the EV of each player? undefined, or 0? and if it's 0, how do you prove this?

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[PairTheBoard]

It will be undefined Jazza. I think the way to convince yourself of this is to run a simulation and look at the average results. If the expectation were zero you would see the average results jumping around closer and closer to zero the more trials you do. Run a simulation and you will not see this. You will see the average Jumping All over the place and the longer you run the simulation the more you will see extreme outliers for the average popping up like you would pulling samples from an unbounded distribution somewhat similiar to the 1/x^2 pdf itself.

PairTheBoard