[TNixon]

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ALL OTHER THINGS BEING EQUAL, VARIANCE IS HIGHER THE DEEPER THE EFFECTIVE STACK

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This is true. But in the second case, not all things are equal.

The blinds are bigger for the 10BB stack than they are for the 100BB stack.

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did you break the fundamental theorem of algebra? both sides of the equation are bb/100, you can't decide that a bb is $10 on one side and only $1 on the other side and claim to have found a unit error.

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They're not equal to begin with, which means you're using the wrong numbers to begin with, even before you attempt to solve the equations. Algebra only comes into the picture once the two sides of the equation are actually equal. You're starting out with equations that aren't equal.

Basically you're starting out with something like 36in = 3ft, ignoring the units altogether, and saying that 36 inches is obviously not equal to 3 feet, because 36 != 3.

And I *can* decide the BB is $10 on one side and $1 on the other side because *those are the rules of the situation we're trying to draw a comparison from*.

One guy has $100 on a $5/$10 table, and the other has $100 on a $0.5/1 table.

You can't draw conclusions from a situation if you're not even taking the specified situation into account.

Seriously, just do the variance calculations in dollars rather than big blinds for case 2, where player A is $100 on a 0.5/1 table, and Player B is $100 on a $5/$10 table.

If you do that calculation, everything should become very clear.