Olivier Teytaud wrote:
>  I've been told recently that there are some works measuring how deep
> a game is as follows:
> - consider a fixed 0.5 < p < 1;
> - consider how many categories of people you can find such that the
> category number n wins with probability p against the catégory number
> n-1.
>
> Clearly, this is not so well defined - but it's interesting (at least
> to me :-) ).

I think a difficulty with getting anything useful out of this idea is
that it's sensitive to the length of the game.

For example, if you consider a three-game Go match to be a game in
itself, it obviously turns out to be much 'deeper' than Go. But it's
surely not deeper in any very interesting sense.

-M-
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