@NinjaKido
You said that there are data we don't know. And of course the first thing we don't know exactly is how the game genre preferences are in the global population (that would be the "parent distribution").
When a certain number of people buy a console they are sort of moved from the heap of general population to the smaller heap of persons who own that console. How genre preferences are distributed inside the owners population depends by the parent distribution and by the process with which they are moved. Practically it will happen when they buy the console, or one is given to them as a gift :) In statistical terms this is called a "sampling" of the parent distribution, to create a new "child distribution".
All this to say that indeed we don't have enough data, but we know that only very special parent distributions and very special buying patterns would leave the owners' demographic unchanged among all possible ones. So we may assume that it won't happen because it becomes almost impossible when we increase the owners' base (this would be the exponential part)
But I was not trying to quantify how much it would diversify, and if you slow down the process it is indeed gradual.
My point was only saying to kowenicki that what MontanaHatchet rightly called "common sense" is effectively a statistical phenomenon, even though kowenicki was debating that it was not an absolute logic certainty.
I hope to have been clearer.
