On Tue, Oct 26, 2010 at 11:07 AM, Álvaro Begué <[email protected]>wrote:
> 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. > That's not as logical as it sounds. If you could measure ELO ratings with infinite precision, you would have as many ratings as people too. We are not interested in how many different foot sizes, but the range of possible values in some context that has real meaning. With ELO we don't care about how many different ELO ratings there are, we care about the range of values and the context is how much 1 ELO point is worth in terms of winning probability. Even with foot size, if you measure the day to day variation, you could probably classify them into just a few types. For example there are finite number of shoe sizes and only 6 or 7 different shoe sizes fit 95% of the population (assuming adults only.) > > 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 > > _______________________________________________ > > Computer-go mailing list > > [email protected] > > http://dvandva.org/cgi-bin/mailman/listinfo/computer-go > > > _______________________________________________ > Computer-go mailing list > [email protected] > http://dvandva.org/cgi-bin/mailman/listinfo/computer-go >
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