A Rebuy ? for Math Majors

[M.B.E.]

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If what i said is close to true. then even single rebuying, and single rebuying if you bust, is more +EV than double rebuying and double rebuying if you bust.

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That doesn't make sense. I think you are inadvertently assuming that the player's total bankroll is $30, which obviously is preposterous.

If you buy in to a rebuy tournament, then you're already playing it. If you can then take an initial rebuy, which in your example gains $18 of value for $10, it makes no sense at all to say "I'm going to forego that, essentially throwing $8 out the window, because tomorrow I can enter another tournament and get $20 of value for the same $10".

You are confused because you are still thinking in terms of ROI, which is not the same as EV.