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My goal was to get into the top 50 in all gammon variants except anti and then start an invitational, multi-point, random gammon tournament with those 5 variants, inviting only those who were also top 50 in all 5. Even that list was very small at the time--5 or 6 players when I looked. But I'm not there yet, and alanback is leavning. Oh well.
I suppose you could compare each player's BKR in each game to the mean and find out who has the highest weighted average above each mean, highest deviation, or something similar.
Thad, grenv: I thought of that, and I see two problems.
First, if we're attempting to answer alanback's original question, I think we have to have some requirement of experience in all five games. Otherwise our newly crowned Champion-Of-All-Five-Positive-Gammon-Games will be, depending on whether we count provisional BKR in individual games, either 02i (who has provisional BKRs in three games and is unrated in the other two) or sergey82 (who has a very high established BKR in Backgammon but has not played the other four games). Would you declare someone the winner of a pentathlon if he had only participated in one or three of the five events?
Second (and perhaps more important), it is meaningless to directly compare a BKR from one game to a BKR from another game. Even though we all started with BKRs of 1300, the rating distributions tend to drift upward over time, and this does not necessarily happen at the same rate for all games. As of a few minutes ago, the median ratings on the lists of established BKR were 2044 for Backgammon, 1714 for Nackgammon, 1703 for Backgammon Race, 1677 for Crowded Backgammon, and 2029 for Hyper Backgammon. This suggests, for example, that a BKR of 1700 in Crowded Backgammon is better than a BKR of 2000 in Backgammon. Any comparison of BKR weighted by number of games played will be biased in favor of those who play mostly Backgammon and Hyper Backgammon.
I claim that linear combinations of BKRs can be meaningfully compared only if the weighting is the same for each player.
Thad: Yes it would seem so, but I only skimmed the thread since so many messages were new.
But I disagree that the rating would be provisional just because one type was missing or low number of games. We need to stipulate that the games are essentially the same for this exersize.
Then add the total and divide by total games played.
People playing only one variant are therefore not punihed and a somewhat realistic BKR is reached (i.e BKR based on 25 games not counting for as much as one based on 500 games).
KotDB: Weigh the BKRs based on the number of games of each type played. That should give a decent BKR for all types. If a player has not played at least four (since that's what BK requires to have a rating in any game) games of each particular variant, then they would be unrated for purposes of this discussion and if they have not completed at least 25 games of each type, then they would be provisional. I'm not sure if anyone has completed enough games of all types, but perhaps someone else can look that up. ;-)
Chicago Bulls: No, not zero. The default BRK is 1300.
Yes, of course it's a question of definitions. This whole thread has essentially been about how to define overall strength in these five games. I've proposed one plausible quantitative definition. It's obviously not perfect; it inherits all the flaws of the BKR system, and it may have additional ones. I'm not convinced it's the best definition, but I haven't thought of one which is clearly better.
KotDB: One reasonable measure of overall strength might be average BKR across the five games. I doubt you'll find anyone who can top alanback's 2160.
And what if someone has not played 3 variants for example? We will put 0 to calculate his mean BKR value? So i don't think this is a reasonable way..... And to measure what...? Overall strength? How do you define overall strength......?
alanback: Leaving on top? Well yes if you define top as the top 5. But no, if you define it to be number 1. If you define it as the best overall with statistics on Brainking then probably yes..... If you define it generally then no, we don't know for sure.....
You said: "I have been in the #1 spot in most of them at one time or another in the past" The point is: If you start reminiscing the past for successes then you are already history!
Anyway it's a shame you will leave, but oh well. You know better:-) Do you intend to return someday.....?
SafariGal: But what if no one ranked #1 in one game has sufficiently strong credentials in the others to be considered the best overall player? As it turns out, of the five top-ranked players, only arpa has established BKRs in all five games. Do you really consider 54th, 4th, 10th, 1st, and 24th better than 5th, 3rd, 2nd, 5th, and 4th?
One reasonable measure of overall strength might be average BKR across the five games. I doubt you'll find anyone who can top alanback's 2160.
SafariGal: Well, I asked for your opinion and you gave it. Thanks for your view. One reason for my posting was that I did feel somewhat deficient in not being #1 in any variant.
However, as has been pointed out, I have been in the #1 spot in most of them at one time or another in the past. Most recently I was #1 in Backgammon Race about a month ago.
alanback: it would seem fair to me that someone claiming the "top" would at least be #1 ranked in 1 of the variants. It appears to me you are not!! So I refute your claim. Your claim is a personal assessment of yourself and others and it not the perception of others. I would consider you "very very good" at best. Far far better than I
alanback: Well, I am not quite as good as you alanback, but I also hope to get there some day. I am top 30 in crowded, race, and hyper, but my backgammon and nackgammon rankings are rather low.
alanback: leaving on top is a good thing, but given a little bit of time(because I haven't completed as many games as yourself) I think I can make it into the top 5-10 players in 6 of 6 of the gammon variants(including anti-) ...and if not, the level you raised the bar to will be fun trying to accomplish...
Chicago Bulls: I would amend your comment to say that eventually neither of us will care to make any claims, since we will have left ego behind; otherwise, I can't contradict you!
alanback: I'm presently in the top 5 in all 5 positive gammon games, and there is nobody who is ahead of me in two of them. Anyone else have a better claim?
I have one: I claim that there is a number of years from now that both of us will would not be able to make any more claims.... While many can question your claim nobody can do the same with mine....
I've decided to quit playing here and on Dailygammon to save time for other interests. Since I'm finishing my games and tournaments, I'll still be around for quite a while; but as I survey my standings here, it seems to me I have a pretty good claim to be the top player of gammon games (excluding antibackgammon) on the site. I'm presently in the top 5 in all 5 positive gammon games, and there is nobody who is ahead of me in two of them. Anyone else have a better claim?
WatfordFC: i asked fencer and he told me that such tournaments (with entry fees (brains)) wont be removed over time .. they will just keep waiting until enough players are signed up
he will fix this so that the tournaments will be removed after time and when that happens then the players will get their entry fees returned to them
Hrqls: I think that she is talking about tournements that some people sign up for that never get enough people to start and eventually time out on the tournement page
grenv: Okay, I didn't consider that distinction. I was just looking a the bug list and saw a similar comment about it related to crowded. Well then, good for me :)
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