100 point scale what is best for other placements

I believe there are some older discussions about this topic on tiltforums, but it can’t hurt to remind folks where this system originated from, and how it’s been used and misused since.

Way back in the olden days, PAPA used to do it’s ticket scoring based on the total points scored on a ticket, which seems insane today, but was “state of the art” for tournaments back in the late 90s. After some awesome discussions on rec.games.pinball, Kevin Martin gave his wacky (at the time) idea of ranking-points-based-on-position a try at PAPA 6 in the “Champions Division” (although the main division of PAPA 6 still went with total points). That was in 1998, and Kevin used his new system for the old Pinburghs from 1999 through 2003, and then when PAPA 7 came back in 2004. So it was Kevin Martin’s idea to give a 10 point “bonus” to the highest score and a 5 point “bonus” to the second highest score via 100-90-85-84-83…

The important takeaway here, though, is that these bonus points were designed for a 5 game ticket system. And since only your best ticket counts in the standings, the chances that a #1 or #2 score on a game for the entire tournament occurred on someone’s best ticket was just not that likely (for instance, at PAPA 18, only 4 out of 24 qualifiers in the “A” division had a #1 or #2 score on their qualifying ticket). So it was never a huge deal at PAPA; just a fun oddity that always gave Belsito a chance on his final run :wink:

So really pump-n-dump tournaments should never have kept the bonus point structure in scoring, because unlike ticket based qualifying, every game in a best-game format counts, so there was always going to be a #1 and #2 score influencing the rankings (At PAPA 20’s pump-n-dump qualifying, all the top 12 had at least one #1 or #2, and 16 out of the top 24). But even then it wasn’t too big a deal because at first, pump-n-dump tournaments required you to get a best score on every game in the tournament. It really wasn’t until the PAPA Circuit took off years later that you had tournaments where they needed to have a bank of games much larger than the number of games required to qualify on because of the sheer number of players wanting to play. And again, instead of thinking it through, the 100-90-85-84-83… scoring system just came along for the ride. It was at one of these tournaments (an old Expo, I think) where it was like your best 5 games out of a bank of 12 games, and since there were now going to be 12 games where someone got the 10 and 5 point “bonuses” there was a real chance that someone could have 5 scores in the top 16 (without a first or second), and not come close to qualifying in the top 16! With all of those bonus points polluting the water, you suddenly needed to average a top 8 or 9 score on all 5 games to have a chance at qualifying! Which seems insane for the format, really.

So it was at that point, that TDs started to temper the bonus points down from 10 and 5 to 5 and 3, or remove them all together. Personally, having a bonus for the top score seems just fine to me, but having a bonus for the #2 score just seems arbitrary and silly. And really, I believe the very best scoring ladder when ranking pinball scores is to use a constant function where Score N+1 is P percentage of score N until it gets down to 0… I posted some samples way back when, but something like:

     [p=.97]    [p=.95]  [p=.93]
     100         100       100                                                               
      97          95          93                                                               
      94          90          86                                                               
      91          86          80                                                               
      89          81          75                                                               
      86          77          70                                                               
      83          74          65                                                               
      81          70          60                                                               
      78          66          56                                                               
      76          63          52                                                               
      74          60          48                                                               
      72          57          45                                                               
      69          54          42                                                               
      67          51          39                                                               
      65          49          36                                                               
      63          46          34                                                               
      61          44          31                                                               
      60          42          29
      58          40          27
      56          38          25
      54          36          23
      53          34          22
      51          32          20
      50          31          19
      48          29          18
      47          28          16
      45          26          15
      44          25          14
      43          24          13
      41          23          12
      40          21          11
      39          20          11
      38          19          10
      37          18           9
      36          17           8
      34          17           8
      33          16           7
      32          15           7
      31          14           6
      30          14           6
      30          13           5
      29          12           5
      28          12           5
      27          11           4
      26          10           4
      25          10           4
      25           9           4
      24           9           3
      23           9           3
      22           8           3
      22           8           3
      21           7           2
      21           7           2
      20           7           2
      19           6           2
      19           6           2
      18           6           2
      18           5           2
      17           5           1
      17           5           1
      16           5           1
      16           4           1
      15           4           1
      15           4           1
      14           4           1
      14           4           1
      13           3           1
      13           3           1
      13           3           1
      12           3           1
      12           3           1
      12           3           1
      11           2           1
      11           2           1
      10           2           0
      10           2           0

The thing I really like about these scales is that I think it correctly reflects the pinball scores themselves in that once you get down to 50th or 75th place… A score of 7,239,480 on say, Cirqus Voltaire is basically equivalent to a score of 7,237,940, even though one is a smidge higher than the other… Both should get the same number of ranking points, IMO. I believe I have seen some European tournaments used this style of ranking points and it always made the most sense to me, but I understand that it could be confusing to someone unfamiliar with all the nuances involved in ranking pinball scores.

The other advantage to using a simple degrade function is that it will work consistently on any starting value (100, 150, 200, etc…) depending on how many competitors you have. And, really, that’s the other half of this issue that is super important - Your scoring scale absolutely needs to be appropriate for your expected number of competitors. 100,90,85,84,83… was becoming silly at PAPA because it went down to 0 too soon. At PAPA 18, CFTBL was played 264 times! and the 88th best score of 113,136,280 was worth exactly the same number of ranking points (zero) as the 264th best score of 2,686,980. By only giving points to essentially the top 30% of scores, PAPA qualifying put a much higher premium on scoring 3 big scores on a ticket, instead of having 5 solid above-average scores… INDISC this past year used 200,190,185,184… so that the top 180 scores or so scored some points and that really put a premium on having a consistent, 5-game ticket instead of hitting 3 home runs with 2 strike outs.

As always, YMMV.

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