My propositions. I didn't check with a bot and I could be wrong about some.This of course would be with 100% of same rolls. Some of them are too bold to be played against only 50% of same rolls.
题目: Re: Most games are begin with same rolling dice numbers..
TC: I noticed the bias too. Since it is quite hard for us, but very easy for Fencer to generate large statistics, I think it should be investigated asap. It is a potential exploit. For instance it makes 13/5 with an opening 62 much better than the usual 24/18 13/11 (until now I refrained from using that exploit).
My guess was that it had to do with the player at move winning or losing the opening roll in a multi-game match. But I didn't check that.
On a remotely related note, very long ago I submitted bug #1487 about a bias in the random placement in Logic, based on a statistic of 50x5 peg generations. I didn't even get an answer. I think that Fencer sometimes commits the fallacy of generalizing "some of my users are idiots" to "all my users are idiots".
playBunny: The reported order of the numbers within a roll isn't relevant is it? Doesn't this just depend on whether a player swapped the numbers before using them?
I also checked my most recent two 21-pointers and found 6 out of 17 same initial rolls for both matches, so 35% compared with an expected percentage of less than 6% if they were independent. I think this is statistically significant and wonder whether there is some circumstance where the first two dice rolls are determined at the same time (and so would always be the same), rather than when each player clicks on the game at different times?
grenv: Ok, but if you take out the doubles, there are only 30 possible rolls
But why do you take out the doubles? The second player can roll a double, so the second player has 36 different rolls. 2 of them can match the rolls of the first player.
grenv: Just checked my plakoto games from 2009. It's 10 cases of identical first rolls out of 27.
Another observation is that there are very few instances of both dice being different, e.g. 56, 43. I think the expected frequency of this would be 4 out of 9, but in the above sample it's only 5 out of 27. In playBunny's first sample, it is 0 out of 12. And in playBunny's second sample (the "reasonable" one), I count only 3 rolls out of 38 where both dice are apart.
Well... if I'm paranoid, at least I'm not the only one.
If it's coincidence then it certainly seems to be one that can be found without much effort.
ps. Abigail's right about the odds. It doesn't matter what the first roll is, the chances of the second matching it are dependant on the 36 possibilities for that second roll.
grenv: No, expected would be 1 in 18. The first player doesn't roll a double, which means that out of all the 36 possible rolls of the second player, only 2 match the roll of the first player.
alanback: I just checked a small, random sample of games: the 13 games (or matches) of regular Backgammon played by alanback in 2009. Out of these 13, 6 games start with identical rolls by black and white.
I know, it's hardly conclusive. But still interesting.
The difficulty of writing code to deliberately skew the dice rolls is staggering. I cannot imagine it being done deliberately. This leaves open the possibility that there is some unanticipated factor that skews the randomness of the rolls. This also I consider unlikely, although I don't know precisely what random or pseudo-random number generator is used here. The fact is that out of hundreds of players, there will always be a few who are currently experiencing what appear in isolation as purposefully distorted results. This is just the result of the normal operation of the laws of chance. However, because only those few notice and report the apparent discrepancy, the anecdotal evidence always supports conspiracy theories. And backgammon players are always paranoid!
题目: Re: Most games are begin with same rolling dice numbers..
wetware: I've noticed this extremely too much this past 3 weeks. the dice rolls that force me to leave men open, seem to coincide with my opponents rolling exactly what is needed to put me on the bar. normally, I would take this with a grain of salt...but it happens so frequently lately,its become something I've been paying attention to.
题目: Re: Most games are begin with same rolling dice numbers..
Pedro Martínez: I can't provide statistics, but my impression is that the bias is well worth investigating. I think it happens often enough that some of the opening rolls should be played sub-optimally here.
I can only speak for myself, but no, I've got no statistics.
I wouldn't have suspected there could be such a problem, so I haven't especially been looking out for it. Even so, the tendency in my games has been obvious at times (several games in a row).
Now I learn that at least three other people have observed the exact same phenomenon. Sounds to me like it might be worth an investigation.
题目: Re: Most games are begin with same rolling dice numbers..
TC: I, too, have noticed that the first two rolls are the same much more often than I would expect. And I don't think it's just me remembering these occasions that is distorting my perception. Any other players noticed this?
As a backgammon player I fixed it: Since some months ago up today, in the first rolling of the players, always come same numbers. Like 5-1 vs 5-1, 4-3 vs. 4-3, 6-1 vs. 6-1, etc.
This is true fore most backgammon types (not for all).
I'm sure, most of backgammon players fixed this situation:
This is not a normal situation for randomized rolling computer dices.
spirit_66: I suppose someone could create something for the "Zillions of Games" engine that would play Crowded. From what I've seen, Zillions had backgammon, nack-, hyper-, and "deadgammon" (no idea what that is) capability.
spirit_66: Are there even programs out there that deal with the variant Crowded Backgammon? (don't need to post details if there are programs out there... just wouldn't think too many programs would be made for some of the rarer variants.)
skipinnz: Thanks for the advice. Actually, luck is what I used in this game where I was 'caught' as a 'cheater', so I guess it's not effective if you want to do it secretly. Apparently, he believed I was using a program. I don't understand how a program would help you be lucky...
pedestrian: The usual way to cheat is to bring along your own dice that are fixed, you could also bribe Fencer with lots os cash so the dice always fall in your favour, but as your a pawn I guess thats out, so I reckon you'll have to rely on good old fashioned luck. LOL
Does anyone know a way to cheat in crowded backgammon? I've just been accused of cheating, and if I'm going to be blamed for it, I want to have the pleasure of committing the crime as well.
can be played on a reduced board ... two home sections face each other (six points on each) and each player has 6 checkers placed like follow: 3 checkers on point 1, 2 checkers on point 2 and 1 checker on point 3 ... all backgammon rules are valid ... it's very compacted game, highly technical. I can be played on one of the half of the board ...
spirit_66: Somehow yes. But I personaly don't fight back the cheaters with their own weapons. I rather listen to the writing. Subtile though, even meaningless for the subject as it belongs to the social component. I leave the game checking to those who understand something about ;)
spirit_66: I'm still thinking more and more if BK is a good place for playing BG
BrainKing is great for a whole range of games but it's not the Home of Backgammon. If you're not already at DailyGammon you ought to check it out. See my profile for more details.
Heh heh, one of the attractions that I list is Pit yourself against a world class robot!
wetware: spirit_66 has said it too: Playing against bots I can do this on my PC with GNU, Jellyfish whatever for free.
The reason I asked you what you meant is that I think that argument rather misses the point. The point is that someone is masquerading bot as a person not that they are providing a bot to play against.
With regard to that latter point, whenever a site provides a bot to play against it is well attended! You may well have GnuBg at home but you cannot play turn-based against it with anything like the ease that you can at a site designed for the purpose. gb001, one of Dailygammon's GnuBg-based bots is very popular and not just with those who don't have GnuBg themselves. ;-)
I can't see this problem as easy as you can. It drives me nuts thinking about that such a rotter is fooling me.
I pay at BK for playing BG against human beings. Playing against bots I can do this on my PC with GNU, Jellyfish whatever for free.
I'm still thinking more and more if BK is a good place for playing BG. The long possible delays between the moves are provoking any kind of fraud or foul play.
I've to face so often that somebody delay immediately the game if the one is on the loosing street. For me this is also a kind of foul play.
At the moment I think it's better to play BG with the short time limit of not more then 3 minutes.
Well, still frustrated about the way it goes here.