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Subject: Re: Rating

Author: M Hurd

Date: 11:31:33 01/19/06

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On January 19, 2006 at 09:39:00, Eelco de Groot wrote:

>On January 19, 2006 at 09:05:03, M Hurd wrote:
>
>>On January 19, 2006 at 08:52:00, Ricardo Gibert wrote:
>>
>>>On January 19, 2006 at 08:36:03, M Hurd wrote:
>>>
>>>>On January 19, 2006 at 08:30:55, Ricardo Gibert wrote:
>>>>
>>>>>On January 19, 2006 at 08:11:54, M Hurd wrote:
>>>>>
>>>>>>If you play an engine match of 1000 games against 1 engine and play another
>>>>>>match of 1 game each against 1000 engines, would you get the same rating ?
>>>>>>
>>>>>>Is it more important to play as many different engines as possible or just
>>>>>>number of games played.
>>>>>
>>>>>Depends on what your are trying to measure. Relative strength to one particular
>>>>>engine or general strength against engines in general.
>>>>>
>>>>>>
>>>>>>Presumably there will be an optimum number for games and number of engines
>>>>>>played.
>>>>>
>>>>>Theoretically, the optimal number approaches infinity in both cases. Naturally,
>>>>>this has virtually no practical value. You will need to be more specific to get
>>>>>a more useable response.
>>>>>
>>>>>>
>>>>>>Regards
>>>>>>
>>>>>>Mike
>>>>
>>>>
>>>>Hi Ricardo
>>>>
>>>>I was simply wondering what would likely be the ELO difference between the 2
>>>>matches I outlined and which match would be the more accurate.
>>>
>>>Accurate in what sense? The 2 matches answer 2 different questions. What
>>>precisely are you trying to measure? My guess is you want to measure general
>>>playing strength rather than the relative strength between 2 particular engines.
>>>If that is the case, given those choices, this isn't a close call. One game
>>>against each of 1000 different engines is the way to go.
>>>
>>>Frankly, this ought to be obvious.
>>>
>>>>
>>>>Regards
>>>>
>>>>Mike
>>
>>
>>Frankly this is not obvious to me.
>>
>>If you play 1 game with 1 engine versus another you will get a result however
>>this could be a win loss or draw and tells you nothing. 1000 x nothing = nothing
>>where as 1000 games against 1 engine should give a more confident rating.
>>
>>Regards
>>
>>Mike
>
>Hello Mike,
>
>That makes no difference, any game tells you just as much no matter which
>opponent it is. For the rating (the TPR rating in this case) you simply compute
>the average result against the average rating of all the opponents.
>
>You get a better idea of the strength against all the different opponents if you
>play some (or just one) game against many of them, not just against one.
>That is because a rating is not a perfect predictor, some players will just have
>bad results against some of the possible opponents, their Angstgegners if you
>like. Also the average opponent-rating is a more dependable number than the
>rating of just one member of the group (there is less uncertainty involved
>because more game were played to compute the average)
>
>The situation is a bit more complex if the rating of your opponent (programs) is
>not very well known, or even unknown. Playing one or more games does not tell
>you anything about rating then, only about the difference in rating between the
>two. Therefore it becomes necessary to add to your tournament at least one but
>preferably more opponents with a known rating, and let each of the unrated
>players play against each other but also against the known ratings. Then you can
>calculate all of the ratings with a succesive approximation process.
>
>hope it makes some sense..
>
> Eelco


Thanks for the explanation.

Hypertheticaly speaking Fritz plays Rybka 1000 times and a rating for fritz is
calulated based on the results of the games assuming Rybka's rating is known.

Fritz then plays 1 game against 1000 engines with known ratings and a rating is
calculated. Which rating would be nearer to Fritz's likely rating or would they
be the same, hypertheticaly speaking.

Regards

Mike






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