Quoting myself from the current Death Pool thread where this debate started:
In the current death pool, there are 40 people with better scores than me right now, so it makes sense to say I’m in 41st place (tied with a whole bunch of others). It would be inaccurate to say I’m in ‘15th’ place. That implies there are only 14 people with better scores. Further, the person with the next lowest score has 67 people ranked ahead of them (there really are a lot of us in 41st place), so saying they are in ‘16th’ place is really misleading.
I also posted in the other thread that it’s not a big deal to me either way, since the stakes are so low. I’ll keep playing either way. Just pointing out that the way the rankings are currently done is the way I’ve always seen it done in ‘real’ competitions where the rankings actually matter.
ETA: Oops, I didn’t read your post carefully enough. It looks like you are offering a different method, instead of numerical ranks, just listing the scorers in order with ties listed together. That alleviates some of the problem, but it could be cumbersome when having to list a whole bunch of people who have the same score.