A few years ago I had a conversation with John Tromp about this
measure of depth, and he pointed out that "who has bigger feet" has as
many levels as there are players, but doesn't make for a very
interesting game.

Álvaro.

On Tue, Oct 26, 2010 at 2:52 AM, Olivier Teytaud <[email protected]> wrote:
> Dear all,
>
>  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've discussed with several people, some of them saying "oh yes I
> remember I've already
> seen this", but nobody could remember the reference. Any precise
> reference or key word I could google ?
>
> Best regards,
> Olivier
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