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Subject: Re: Maximum ELO

Author: Dave Gomboc

Date: 18:07:15 06/09/99

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On June 09, 1999 at 20:48:42, Tony Essman wrote:

><snip>
>
>>The maximum ELO is obtained by playing against a common houseplant, which >always forfeits on time.  My ELO in this pool is quite impressive.
>>;-)
>
>
>     I was intrigued by just what the Elo of a common house plant would be, so I
>decided to put it to the test in a tournament.  It would be unfair to pit it
>against humans, or computers, though, and since I only have one house plant, I
>used a potato for the other participant.  I figure it could be a plant if I
>didn't eat it.
>
>     Anyway, I ran the tournament as a double round-robin with game in 90. 45/2
>would take way too long, and I  can't wait very well for stuff I'm interested in
>(reading about it also takes too long).
>
>     The house plant had white in the first round, and then the colors
>alternated each round. Maybe some other format would have been better -- I don't
>know I'm not a tournament director, but hey, I'm not a mathematician either!
>
>     Well here were the parings:
>
>     +---------+-----------------------+-------+
>     | Player  | R1  |  R2 |  R3 |  R4 | Total |
>     |---------+-----+-----+-----+-----+-------+
>     | Plant   |  0  |  1  |  0  |  1  |   2   |
>     |---------+-----+-----+-----+-----+-------+
>     | Potato  |  1  |  0  |  1  |  0  |   2   |
>     +---------+-----+-----+-----+-----+-------+
>
>     Dann was right!  Vegetables can't seem to get the thread of the game and
>lose on time, and pretty consistently.  On the plus side, though, there weren't
>any boring draws.
>
>     But, we can still calculate the ratings (I think).  I've never really done
>it before, but I understand the general concept of how ratings work, and I've
>never let not knowing something keep me from wading in. And, I think most folks
>will overlook one or two inaccuracies.  Hey, chess players are most reasonable
>people I have ever met.
>
>     Well, both the plant and the potato have never been rated before, so I
>assigned them a "provisional" rating.  I used the mean for ratings, which I
>guessed to be about 1500 (sue me if I'm wrong).
>
>    I don't really know how Elo's are calculated, but that's not really
>important -- one rating system is probably as good as another.  I did search the
>web to try and find out how, but all I got was, ahem, alternate sites.  It was
>pretty discouraging, and I've already mentioned how impatient I am, so I used
>this formula that I once read in a FAQ:
>
>         "*** For the first 20 games (provisional rating): ***
>
>         Take the rating of the opponent +400 if the player wins. Take the
>   rating of the opponent -400 if the player loses. Take the rating of the
>   opponent if the game is a draw.
>
>         Average these numbers. (If unrated players play other unrated players,
>        this requires several iterations of the above.) "
>
>     Here are the calculations, and may I say right up front -- I used a
>calculator to check all the numbers, so don't be flaming me!
>
>Round 1:
>--------
>Rating_potato = 1500 + 400 = 1900
>Rating_plant  = 1500 - 400 = 1100
>
>Round 2:
>--------
>Rating_potato = 1900 - 400 = 1500
>Rating_plant  = 1100 + 400 = 1500
>
>Round 3:
>--------
>Rating_potato = 1500 + 400 = 1900
>Rating_plant  = 1500 - 400 = 1100
>
>Round 4:
>--------
>Rating_potato = 1900 - 400 = 1500
>Rating_plant  = 1100 + 400 = 1500
>
>Provisional Rating_potato = 1900 + 1500 + 1900 + 1500 / 4 = 1700
>Provisional Rating_plant   = 1100 + 1500 + 1100 + 1500 / 4 = 1300
>
>     Well, there you have it.  A potato is quite a bit stronger than a house
>plant, although I would like to stress these ratings are only provisional.
>
>     I gained a great deal of insight into ratings and how they work as a result
>of this experiment, and I hope it proves equally valuable to others.  For one
>thing, I'm hoping for more blacks in all my future tournaments, and I'm going to
>treat potatoes with much more respect!
>
>Cheers...
>
>Tony.

Provisional ratings are calculated on the entire event simultaneously.  So, you
should have gotten 1500 for both ratings, sorry. :-)

Dave



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