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Subject: Re: ELO and size of the population

Author: Francesco Di Tolla

Date: 15:31:57 10/08/03

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On October 08, 2003 at 12:59:25, Robert Hyatt wrote:
>When you have a large population, you end up with lots of "sub-populations"
>with slight rating differences.  IE most of the USCF players in Birmingham
>AL will never compete with players from Los Angeles.  There might be some
>crossover in that LA players might play Houston TX players and they might
>the Birmingham players.  But the larger the population, the more likely
>this skewing happens.  With small populations it is likely everyone plays
>everyone (my 2 for example).

You made an exmple of weakly mixing system where the time averages are not
equivalent to ensabmle averages, and only local equilibria are expected.



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