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Subject: Re: An interesting commentary by GM Gulko

Author: Miguel A. Ballicora

Date: 09:49:54 03/20/02

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On March 20, 2002 at 07:44:18, Sune Fischer wrote:

>On March 20, 2002 at 05:49:56, Gian-Carlo Pascutto wrote:
>
>>On March 20, 2002 at 05:47:28, stuart taylor wrote:
>>
>>>The worst would have to be about 0 elo.
>>
>>No. ELO is a relative scale. You can have ELO ratings from -inf to +inf
>>if you want to.
>>
>>--
>>GCP
>
>Of cause you can't _actually_ reach +-inf, for several reasons.

It depends on how the rating is calculated. In other words, it depends on
the implementation. The classical way is to give a starting rating to a player
and it is updated with each tournament. That is what you are referring. However,
if you do not have a "starting" rating you can certainly reach -inf. Playing the
first 100 games a losing them all gives an estimated rating of -inf.
Anyway, inf is a limit so in any case there no problem to say that elo scale
goes from -inf to inf, whatever the reference is.

Regards,
Miguel


>
>It would take an infinite number of games, which would require an infinite amout
>of time.
>And even the perfect player must be rated below +inf because chess is limited
>yada yada yada random player etc....
>
>However, it seems a deterministic engine could lose _all_ the games, simply by
>playing another deterministic engine, which just happend to win that particular
>game.
>
>-S.



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