Proposal for a Simple Rating (SR) system

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  • Proposal for a Simple Rating (SR) system

    A proposal for a Simple Rating system for any match-play sport / game. Note: system is untested, points documented here may need adjusting.


    TCP = Total Career Points
    SR = Simple Rating

    When applied to any game or sport in which one individual or team competes against only 1 other individual or team, this proposal documents a point scoring and rating system that can replace more complex systems such as Elo. It offers two advantages: (1) simplicity of calculation, and (2) in addition to rating, there is a point aggregation that allows the awarding of titles based on reaching career points thresholds, rather than the usage of rating thresholds and / or "norm" achievements.

    When applied to chess, which already widely uses Elo:

    This system is not meant to replace the Elo rating system for chess. Rather, it may be used as a means for less serious players to have their own sections at events, separate from the more serious Elo rated players, and to forgo Elo ratings (and the costs involved) in favor of the Simple Ratings (described below) that they can do themselves as they are playing in an event.

    This may encourage less serious chess players to "try out" organized chess without being thrown to the lions, as it were, and having to play against much more serious and studious players. Thus the initially less serious players play against peers, in their own section run by a separate organizer (who may be interning to become a "real" organizer, and can learn organizing without possibly getting involved in "serious" disputes that affect real Elo ratings). The less serious players thus have the chance to get comfortable with organized chess. At any time before an event starts, they may elect to pay full membership for Elo ratings fees and join the more serious players.

    There are no ratings fees needed for Simple Rating because the players can do those ratings themselves. Thus the less serious player can continue to enter events at much reduced cost by playing in the SR section (this type of player otherwise would likely disappear from organized chess altogether).

    The major feature of this system is that it allows players and TDs / organizers to quickly calculate ratings and TCP for anyone at anytime, requiring only a pocket calculator for accuracy in SR calculation (because of the division). An event's results will not have to be sent to a central organization for doing these calculations. Nevertheless, a central organization will be desired to keep TCP and SR records over time in a database and to do validation. If a TD posts along with game results the changes to each player's TCP and SR, s/he should have a second and even a third check done by the players involved, who will report their agreement or disagreement if an error should be made (such as transposing digits or failure to round a decimal place).

    A local chess club might attract new members in greater numbers if they advertise that the new members can have cheap initial membership, can play against new players like themselves, and can calculate their own Simple Ratings on the fly and always know where they stand.

    ( continued, post is too long...)
    Only the rushing is heard...
    Onward flies the bird.

  • #2
    Re: Proposal for a Simple Rating (SR) system

    Winning with White is worth 100 points.
    Winning with Black is worth 105 points.

    Drawing with White with > 50 moves played is worth 50 points.
    Drawing with Black with > 50 moves played is worth 52 points.

    Drawing with White with > 30 moves played is worth 40 points.
    Drawing with Black with > 30 moves played is worth 42 points.

    Drawing with White with 16 to 30 moves played is worth 30 points.
    Drawing with Black with 16 to 30 moves played is worth 32 points.

    Drawing with White with 1 to 15 moves played is worth 20 points.
    Drawing with Black with 1 to 15 moves played is worth 20 points.

    Losing with White is worth 10 points.
    Losing with Black is worth 12 points.

    Notice that draws get a bigger reward the longer each player plays them out.
    In order to correctly score players during a tournament, crosstables will
    have to show (for all draws) how many moves were played by both White and Black, and the points awarded to each player as a result.

    Furthermore:

    Points are added or subtracted from the above values based on differences
    between
    (1) the total career points each player has earned, and
    (2) the Simple Rating each player has earned
    *Simple Rating is described below
    at the time of the game.

    These two factors reflect (as near to ideally as possible, it is hoped):
    (1) the relative experience level of the 2 players, and
    (2) the relative talent level of the 2 players
    at the time of the game.



    In the following charts, "difference" means your current value minus
    your opponent's current value.



    Differences in Total career Points (TCP)
    ========================================

    Winning with a difference in TCP
    between 2000 and infinity: add 1 points
    between 1000 and 1999: add 2 points
    between 500 and 999: add 5 points
    between 200 and 499: add 10 points
    between 100 and 199: add 15 points
    between 0 and 99: add 20 points

    between -1 and -99: add 25 points
    between -100 and -199: add 30 points
    between -200 and -499: add 35 points
    between -500 and -999: add 40 points
    between -1000 and -1999: add 45 points
    between -2000 and -4999: add 50 points
    between -5000 and -infinity: add 60 points


    Drawing with a difference in TCP
    between 5000 and infinity: subtract 12 points
    between 2000 and 4999: subtract 8 points
    between 1000 and 1999: subtract 6 points
    between 500 and 999: subtract 5 points
    between 200 and 499: subtract 4 points
    between 100 and 199: subtract 3 points
    between 50 and 99: subtract 2 points
    between 1 and 49: subtract 1 points

    between -1 and -49: add 1 points
    between -50 and -99: add 2 points
    between -100 and -199: add 3 points
    between -200 and -499: add 4 points
    between -500 and -999: add 5 points
    between -1000 and -1999: add 6 points
    between -2000 and -4999: add 8 points
    between -5000 and -infinity: add 10 points


    Losing with a difference in TCP
    >= 5000: subtract 30 points
    between 2000 and 4999: subtract 20 points
    between 1000 and 1999: subtract 15 points
    between 500 and 999: subtract 10 points
    between 200 and 499: subtract 8 points
    between 100 and 199: subtract 6 points
    between 50 and 99: subtract 4 points
    between 1 and 49: subtract 2 points






    Differences in Simple Rating (SR)
    =================================

    First of all, under this system, what is a player's "Simple Rating"?

    The new Simple Rating system would have a player's SR become his or
    her AVERAGE points per game (TCP / number of games played) multiplied
    by 100, and the result rounded up 1 point if the value in the first
    decimal place is 5 or greater.

    So if your average points per game is 83.255, you have an SR of
    8325.5, which gets rounded up to 8326.

    If you have never played a game, your TCP and your SR is 0.

    Differences in SR can distort reality more than differences in TCP.
    For example, you have played 200 career rated games and have won more
    than you've lost and have an SR of 8326 (for total TCP = 16,652).
    Joe Woodpusher joins a tournament, plays some rated games against very
    poor players, wins 6 out of 6 and has an SR of 10500 (but a total
    TCP of only 630). Joe's SR is much higher than yours thanks to some weak
    opposition over a small number of games, but your TCP reflects your more
    solid results and experience. Joe's SR will be used to put him in a much
    higher class of opposition in his next tournament, and a few losses will
    bring his SR down dramatically. Because his SR distorts the reality of
    the situation, we don't want differences in SR to count for as much as
    differences in TCP.

    Given that, the chart becomes:



    Winning with a difference in SR
    between 2000 and 2999: add 1 points
    between 1000 and 1999: add 2 points
    between 500 and 999: add 3 points
    between 200 and 499: add 4 points
    between 100 and 199: add 6 points
    between 0 and 99: add 8 points

    between -1 and -99: add 10 points
    between -100 and -199: add 12 points
    between -200 and -499: add 14 points
    between -500 and -999: add 16 points
    between -1000 and -1999: add 18 points
    between -2000 and -infinity: add 20 points


    Drawing with a difference in SR
    >= 2000: subtract 6 points
    between 1000 and 1999: subtract 5 points
    between 500 and 999: subtract 4 points
    between 200 and 499: subtract 3 points
    between 100 and 199: subtract 2 points
    between 1 and 99: subtract 1 points

    between -1 and -99: add 1 points
    between -100 and -199: add 2 points
    between -200 and -499: add 3 points
    between -500 and -999: add 4 points
    between -1000 and -1999: add 5 points
    between -2000 and -infinity: add 6 points


    Losing with a difference in SR
    >= 2000: subtract 12 points
    between 1000 and 1999: subtract 10 points
    between 500 and 999: subtract 8 points
    between 200 and 499: subtract 6 points
    between 100 and 199: subtract 4 points
    between 1 and 99: subtract 2 points



    ( continued... post too long)
    Only the rushing is heard...
    Onward flies the bird.

    Comment


    • #3
      Re: Proposal for a Simple Rating (SR) system

      NOTES
      =====

      1. It is possible to play a game and lose TCP points, but the occurence
      of that should be extremely rare. You'd have to play someone much
      inferior to you, either by TCP or by SR, or some combination of both,
      and either lose to that player or agree to a draw in 15 moves or less.
      From this, one can see that one would NEVER have less than some positive
      number of TCP.

      2. Given (1) above, your TCP will continually climb throughout your career.
      To experience a prolonged decline in TCP, you'd have to experience a
      losing streak against vastly inferior opposition. This is something
      that should only happen if you actually lose your chess abilities
      in a substantial manner.

      3. From (1) and (2) above: You can and should earn permanent titles for
      reaching TCP thresholds. The exact value of these thresholds need to
      be worked out from experience.

      4. Your SR can go up or down. It varies how much:

      - you have played 2000 games rated in this system in your career.
      Your current SR is 8326. Your TCP at this point is 166,520.
      Now you lose to someone who has never played a game (worst
      case scenario). You lose as White, so you only gain 10 points. But
      you also lose 30 points for TCP difference and lose 12 points
      for SR difference. Net, you lose 32 points. Plus you have now
      played 2001 games.
      Your SR becomes ((166,520 - 32) / 2001) * 100 = 8320.
      You lost 6 SR points.
      This reflects the fact that you have played a huge number of
      games and performed excellently, so that one worst case scenario
      game doesn't hit you too hard.

      If instead you had won the game as expected, with White, your
      TCP goes up by 100.
      Your new SR becomes ((166,520 + 100) / 2001) * 100 = 8327.
      You gained 1 SR point (and 100 TCP).

      - change the above losing scenario to be the same except you
      have played 1000 Simple Rated games. Now your TCP is 83,260.
      You again lose as above.
      Your new SR becomes ((83,260 - 32) / 1001 ) * 100 = 8314.
      You lost 12 SR points.

      - change the above losing scenario to be the same except you
      have played 500 Simple Rated games. Now your TCP is 41,630.
      You again lose as above.
      Your new SR becomes ((41,630 - 32) / 501 ) * 100 = 8309.
      You lost 17 SR points.

      From all this, it is apparent that the larger your career games rated
      becomes, the less a single game will change your SR. This is
      expected: just as a baseball hitter who has been playing for many
      years will have a certain batting average and if he goes on a hot
      streak of several at-bats in a row with a hit, his career batting
      average will hardly move upward at all.

      One way to cope with this is to rate the most recent N games of any player,
      where N may be set to several arbritary values: 50, 100, 200, 500, 1000.
      Every player could have a career SR, an SR1000, an SR500, an SR200, and an SR100,
      and they would be used in that order to determine rankings. If 2
      players were tied in career SR, the next one that is used to sort them is
      their SR1000, and if that should be equal, then their SR500 is used next,
      followed by (if necessary) SR200, SR100, and SR50.

      However, none of these N-game Simple Ratings are ever used to calculate
      TCP and new SR (in the charts given above). Only career SR is used for
      the "Difference in SR" chart section, and so career SR is the only truly
      important value. The N-game SR values are only used to break ties in
      rankings of players.
      Only the rushing is heard...
      Onward flies the bird.

      Comment


      • #4
        Re: Proposal for a Simple Rating (SR) system

        One final note: if this system were to be applied to some new sport or game in which there is no known starting advantage to either side, then the extra points for winning / drawing / losing as Black (or the second player to play) would be non-applicable.
        Only the rushing is heard...
        Onward flies the bird.

        Comment

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