What percentage is luck involved in a games outcome?

  • Moderator

    Equal Skill DOES NOT EQUAL perfect play.  
    If skill is equal the luck factor is no where near 100%.

    Take two players who are equally skilled (but each player makes two mistakes every game they play which would define them as equal).  If they play 100 games and end up with a 50-50 split that would tend to confirm that yep they are equal and the deciding factor (while it could be dice) it ALSO could be when each player makes his 2 mistakes and how costly that mistake was (such as a bad purchase which has nothing to do with dice) and I’ll list some other possible factors a little later.

    Now, Luck is the same for everyone, so as some of you put it, if you assume equal skill and take it out of the equation and are left with 100% Luck for these games, what happens when two people play 100 games and someone wins 60-40.  I can only assume that you guys would say one person is just luckier than the other, but I’d argue the initial assumption of equal skill was false for these two players.  And the guy that won 60 is actually BETTER than the guy that won 40, not luckier.

    Also what happens if you completely remove luck and play no luck for a 100 games and end up with a 50-50 split with players of equal skill?  How did each player win 50?  It wasn’t the dice since you removed that variable.  It wasn’t skill since you defined them to be equal, so like chess there could be other factors involved.

    Luck is a factor in small samples of games, but longterm all things even out and you are left with the better skilled players win more.

    Also it is possible to be better than someone and lose and not have it releted to dice.  Pick your sport, every year in every sport some “bad team” beats a good one, while it could be luck (like a ref made a favorable call or a call was missed), it could also be the bad team was just on and had a great night.  All humans make mistakes, again it is false to assume equal skill means perfect play.

    The same is true for A&A, luck and skill are not the only factors, there is fatigue (mentioned by Shadowhawk), focus, board set-up, bid placement, how serious are you taking the game or your opponent, ego, stubbornness, personality traits, purchases and probably a few others that I wouldn’t necessarily put into the class of “skill”.

    Also the skill sets for the Axis compared to the Allies is different.  A great Allied player does not guarantee a great Axis player.

  • Moderator

    @Frood:

    @trihero:

    Yay, thanks Frood. We both get it!

    By the way, who is smiting me -_-? I don’t smite anyone!

    The answer is 100%. The gold medal will be decided solely by the factor of artistic merit (assuming that there are no other factors beyond those assumed in our question).

    But there are other factors, which might be what you are looking for.

    In this case the judges are a factor.  They could be biased.  While the artistc score will decide the competition, the basis of giving that score may not be uniform for both participants.  I’m sure we are all aware of some wacky scoring that my take place in the Olympics.  Maybe the judge is racist and scores highly for the skater of his race, maybe they are from the same country, maybe they were paid off, maybe they voted for the best looking skater, etc…


  • @Lucifer:

    I’m suprised that so few ppl see that A&A would still be both about skill and luck with low luck,
    but with dice it’s mostly luck which decides the outcome.

    You, sir, are a heretic.

    (Halo 2 grunts chime in)

    “Her-e-tic!  Her-e-tic!”


  • I think the best players are those that are able to exploit the openings left with good luck on an attack, and minimize the problems given with bad luck on an attack.

    Those that play low-luck just can’t handle it!  :roll:

    and now for an impromptu crack pipe moment . . . (fanfare)

    STAR WARS: A NEW HOPE

    (with crack pipe and low luck)

    Ben:  “Use teh forcez0rz, Luke!”

    Luke: “okays” (switches off X-wing targeting computer)

    Control:  “R U on crack?  wazap?”

    Luke:  “No, I’m fine . . .”

    (a couple minutes later)

    pew pew!

    .
    .
    .

    Han:  “WTF u missed!”

    Luke:  “wat?  But i used teh forcez0rz!”

    Darth Vader:  (spinning around):  “Hahahaha i used low luck!  ur shot have no chance of going in!  all ur base are belong to us!”

    Jar Jar Binks:  “Meesa love low luck!  All hail teh Galactic Empirezorz!”


  • @newpaintbrush:

    @Lucifer:

    I’m suprised that so few ppl see that A&A would still be both about skill and luck with low luck,
    but with dice it’s mostly luck which decides the outcome.

    You, sir, are a heretic.

    (Halo 2 grunts chime in)

    “Her-e-tic!  Her-e-tic!”

    You are sometimes funny, but this is a serious matter for me.

    Example: UK1. UK make combat moves, 2 inf vs 1 inf in Borneo, 2 inf vs 1 inf New Guinea, DD vs Jap trans,
    sub vs sub, 2 ftrs 1 bmr vs 2 subs 1 DD 1 trans in Baltic.
    Russia would move 6 inf to Bury because UK DD usually kills Jap trans.
    If UK gets unlucky in all those battles, that is a big setback for allies.
    Germany may attack UK fleet in sz2 with 2 subs (8 bid) 1 ftr 1 bmr.
    These are just examples of battles with low luck in which luck is a huge factor.
    You may not have noticed this, but there are almost no battles in which no dice is not rolled, with low luck!


  • @newpaintbrush:

    I think the best players are those that are able to exploit the openings left with good luck on an attack, and minimize the problems given with bad luck on an attack.

    Those that play low-luck just can’t handle it!   :roll:

    and now for an impromptu crack pipe moment . . . (fanfare)

    STAR WARS: A NEW HOPE

    (with crack pipe and low luck)

    Ben:  “Use teh forcez0rz, Luke!”

    Luke: “okays” (switches off X-wing targeting computer)

    Control:  “R U on crack?  wazap?”

    Luke:  “No, I’m fine . . .”

    (a couple minutes later)

    pew pew!

    .
    .
    .

    Han:  “WTF u missed!”

    Luke:  “wat?  But i used teh forcez0rz!”

    Darth Vader:  (spinning around):  “Hahahaha i used low luck!  ur shot have no chance of going in!  all ur base are belong to us!”

    Jar Jar Binks:  “Meesa love low luck!  All hail teh Galactic Empirezorz!”

    :lol:

    Smite me with your rubber chicken, and give me some of your crack, you seem to have more crack than
    Germans have infantry in WE  :-D


  • @newpaintbrush:

    I think the best players are those that are able to exploit the openings left with good luck on an attack, and minimize the problems given with bad luck on an attack.

    Those that play low-luck just can’t handle it!   :roll:

    and now for an impromptu crack pipe moment . . . (fanfare)

    STAR WARS: A NEW HOPE

    (with crack pipe and low luck)

    Ben:  “Use teh forcez0rz, Luke!”

    Luke: “okays” (switches off X-wing targeting computer)

    Control:  “R U on crack?  wazap?”

    Luke:  “No, I’m fine . . .”

    (a couple minutes later)

    pew pew!

    .
    .
    .

    Han:  “WTF u missed!”

    Luke:  “wat?  But i used teh forcez0rz!”

    Darth Vader:  (spinning around):  “Hahahaha i used low luck!  ur shot have no chance of going in!  all ur base are belong to us!”

    Jar Jar Binks:  “Meesa love low luck!  All hail teh Galactic Empirezorz!”

    new paintbrush, you are definitely incontrovertibile and unquestionably a genius!

    I would try to add my contribution!

    STAR WARS: The Empire Strike Back
    (without crack pipe… but with two beers)

    Darth Vader:  Impressive. Most impressive. Obi-Wan has taught you well. You have controlled your dice. Attacking with 18 dice points to have 3 sure hits!

    “Low Luke”: yes I was the best student in the last course of Master Yoda!

    Darth Vader: Again that small, green, low lucker! One of this days I am going to cut him into little pieces!

    “Low Luke”: Yeah! I fight only when I am sure of winning! I take no risk! Dices are so… random!

    Darth Vader: But you miss most opportunity and looking only for sure battle your game is predictable and standardized! I will overcome you! If you only knew the power of the dark dices! (…classic Darth Vader mask noise…) It is why you failed at destroying the Death Star! I won the Boonta Eve classic podrace because I take in account risk in my planning!  With ordinary luck I destroyed a Confederation of Commerce Control Warship and I was only nine!

    … noises of lightsabers …

    “Low luke”: What did you invented? Those attacks!!! They have not an exact multiple of 6 as die points… AAAAAAAH … my hand is gone!

    Darth Vader: There is no escape. Don’t make me destroy you! … I am your father!

    “Low Luke”: Nooooooooooo!!! (falling down, with one less hand…)

    Darth Vader: Luke! Listen me! Have an haircut!

  • 2007 AAR League

    I agree, there probably are other factors besides skill and luck. However, the question seems to assume that those two are the only ones, so as the question is stated, the answer has to be 100%.

    My point is that as stated, the question by definition means that skill is NOT a factor in deciding the game between the two players. Since it is equal, you cannot say that one or the other play won on the basis of skill. With skill eliminated, that leaves luck as the only factor contemplated in the question.


  • @Frood:

    I agree, there probably are other factors besides skill and luck. However, the question seems to assume that those two are the only ones, so as the question is stated, the answer has to be 100%.

    My point is that as stated, the question by definition means that skill is NOT a factor in deciding the game between the two players. Since it is equal, you cannot say that one or the other play won on the basis of skill. With skill eliminated, that leaves luck as the only factor contemplated in the question.

    I already said the spirit of the question didn’t include skills being exactly equal.

    I was trying to eliminate the Skill factor as a determinate of the outcome in an effort (as you so aptly put) to measure how much is luck (the only other ‘remaining’ factor in a game).

    If I had asked
    “how much luck is involved in A&A?”

    The discussion would’ve been about players of differing skill levels, and then, of course, the discussion would’ve spit off into measuring skill… etc… blah blah Blah!

    This is a “feeling” kind of question.

    How about if I asked:
    “How much do you feel luck is a factor in determing the outcome of A&A games?”


  • what if the players are equally skilled, but one player is more skilled at taking advantage of strategic openings that occur because of the results of a lucky attack, but the other player is more skilled at minimizing the problems that occur because of the results of an unlucky attack?

    WAT THEN?

    I think for players of equal skill, luck determines around 30% of the games played.

  • 2007 AAR League

    If skill is not exactly equal (which only happens in theory, not in real life), then the importance of luck depends on the degree of difference in skill.

    E.g. if I am playing someone who is just a little better than me, then I might beat them sometimes on account of luck. Luck will be a major factor in determining the games.

    I cannot beat a superior player on skill alone. On the basis of skill, they have me beat.

    If on the other hand I am playing someone who is WAY better than me, or someone who is way worse than me, then I will lose every single game, or win every single game. Luck becomes an insignificant factor when skill differences are large.

    Now, since the significance of luck varies depending on the skill difference, you need to know exactly how big the skill difference is to determine how significant luck will be as a factor. “Roughly equal skill” does not give enough precision. Depending how roughly equal skill is, luck could range from a 95% factor to a 30% factor.

    Do you see how the importance of luck varies according to the amount of difference in skill?

    Look at it this way: going into a game, it is easier to predict the outcome when the skill difference is large. When there is little skill difference, it really is anyone’s guess as to who will win - you might as well toss a coin, because on the basis of skill you can’t predict. Thus luck is a bigger factor in that game.


  • I would argue that Dan.

    There is a 3rd element, and one that I have found to be the PRIMARY determining factor in numerous recent games…
    ERRORS.

    SKILL is what a person has in terms of knowledge, ability, etc.  And based on my win/loss record, I think it is fair to say that I am one of the more skilled (in the top tier actually) of players on this site.

    LUCK has come into play in a few recent games… the recent Tournament loss as a notable example (zero point 4 freakin percent probabilities…)

    But an ERROR is different from skill.  And simple mistakes (for example, in my current game me missing a free liberation of Norway by Germany, or Jen’s strafe of Caucuses instead of the safe and easy route through Kazakh because she overlooked it) often times are the REAL factor in any given game.

    Mistakes are NOT a lack of skill (unless you keep making the same mistakes over and over, never learning from them).  And I personally think that, skill levels being approximately even, that ERRORS will decide the game more than 2/3 of the time.

  • 2007 AAR League

    I think really this boils down to semantics, because I have a different definition of skill that includes mistakes. I think the idea that a given player has a fixed amount of skill is a bit of a fiction. Rather, players will show different degrees of skill between games, and even within the course of a game.

    The frequency with which you make mistakes, and the severity of those mistakes, is really a measure of your skill. Someone who screws up all the time is really not skilled, and someone who almost never does, is very skilled.

    A mistake is basically an un-skillful move. In a way, most moves (except most of mine :) ) are mistakes, some just worse than others, because really, a mistake is a move that is not “perfect”. The severity of the mistake is just a matter of how far from perfect that move in.

    So if I make a lot of mistakes in a game, I would say that I was not very skillful in that game. It will slightly decrease my overall “skill” measurement, which is some kind of average of how skillfully (ie. how mistake-free) I have played all my games. As I get older and senile, I will make more mistakes… I guess there’s skill in executing your moves, and a sort of meta-skill that indicates how skillful you are likely to be in a given game.

    What you are describing I would call knowledge, experience, which will help you to play more skillfully. An error of oversight does not mean you are less experienced, but it does mean that that one move was executed with less than perfect skill.

    But, it’s just semantics really. My beef was with the question, which is a matter of logic - “all else being equal” etc.

    That’s what you do in a scientific experiment. You try to control all the other variables, so that you can measure the effect of one variable. Now, once you have controlled for all else, the one remaining variable will be the one that accounts for all of your results.


  • @newpaintbrush:

    I think the best players are those that are able to exploit the openings left with good luck on an attack, and minimize the problems given with bad luck on an attack.

    Those that play low-luck just can’t handle it!   :roll:

    I disagree very much indeed, Sir!
    But you actually got a point in your reasoning.
    I prefer low luck, but I also play a lot of dice games.
    In some games I played, multiplayer (dice) games, my observations concludes that this is sometimes a psychological factor.
    If the attacking player uses overhelming force, but the dice gods are mad, then this sometimes leads to:

    http://en.wikipedia.org/wiki/Acute_stress_disorder

    and in severe cases this may develop into: http://en.wikipedia.org/wiki/Posttraumatic_stress_disorder

    Seriously, do you want to fill up the psychiatric hospitals with A&A players diagnosed with combat fatigue?

    I’m gonna write to health politicans in the entire western world, low luck shall be mandatory!!!


  • @Lucifer:

    … low luck shall be mandatory!!!

    In My Humble Opinion,
    The game is totally different when playing low luck.
    You have to think and play differently.

    It’s a nice change of pace, but I would not want all games to be low luck.

    There are no guarentees in War.


  • Personally, I think Low Luck should be relegated to the House Rules area, since it is a very significant change in the rules of the game from what is printed in the OM, via the Erata on AH’s web site, and from all versions of LHTR.

    I think Nuno in another thread made a smart a$$ comment about custom rule sets that he felt were created as ways for players who can’t win using normal rules to be able to change things enough so that they CAN win.  If one grants that to be true, then Low Luck as a House Rule Variant to allow a player who otherwise cannot win to have a chance at winning would have to also fall into that category…


  • @ncscswitch:

    I think Nuno in another thread made a smart a$$ comment about custom rule sets that he felt were created as ways for players who can’t win using normal rules to be able to change things enough so that they CAN win.  If one grants that to be true, then Low Luck as a House Rule Variant to allow a player who otherwise cannot win to have a chance at winning would have to also fall into that category…

    Remember the classic boardgame? Played with original OOB rules.
    I calculated that if UK+US used all ipc on research, then either US or UK would discover heavybombers rnd. 2,2 on average.
    No TTL, 3 dicerolls, without “house rules” the game is unplayable if ppl use this flaw in the OOB rules.
    And OOB rules both in revised and classic there’s no mention on bid……?
    So bidding is a house rule…?
    With this kind of thinking we’re all infidels…


  • Personally, I think Low Luck should be relegated to the House Rules area, since it is a very significant change in the rules of the game from what is printed in the OM, via the Erata on AH’s web site, and from all versions of LHTR.

    I agree completely. Low Luck is a decent strategic modeling tool, but in practice it is indeed different in many ways.

    The most obvious way in which it is different is in small battles. For instance, 2 fighters will always hit one infantry in LL. But in practice, they don’t quite hit one infantry on mathematical average, because even when both fighters “hit”, only one infantry dies. So 75% of the time 1 infantry dies, and 25% it doesn’t. So in full luck the “average” chance to hit the infantry in one round is really more like 75%, not 100%.

    Low Luck is fairly accurate in larger battles when all of the attacking/defending units have a target to hit by themselves instead of “overshooting” on one target.


  • I agree.
    I think that if someone wants to reduce drastically the numbr of dice involved in a battle a more viable options is to use Combat Table (as in classic hex wargames).
    Considering relative odds of the attacking and defending units combat power for defining the possible result and then choose randomly with a dice.
    The result of the battle is almost totally defined by the relative strength, only the detailed result of the battle is random.
    In such way it should be possible also to consider weather effect and terrain features. It is again an House rules, but differs from low luck, returning the planning in the field of strategy and tactics.


  • The problem I see with dice games is that too often in a game, the dice is really screwed.
    Generally, skill is more important than luck, without tech!
    Even if 2 playes seem to be just the same level, they are not able to play equally good, not in most games.
    In a case if 2 players play each other, and they have played many games against each other, then they “know”
    the opponent, and such game if often decided by luck.
    I play only in the lobby (a.t.m.) and there is a BIG difference in skill and experience between different players.
    Again, if your stats says you win way more than 50% you’r a good player.
    Problem is “this certain game we play” is decided by major luck and minor skill……
    I met some quite experienced players in the lobby, and I can’t understand why so many are
    so reluctant to try low luck. For me it’s okay to play with dice sometimes, but if I could chose,
    I would play 4 of 5 games with low luck setting.
    For me it’s fun to win, because I win to little and lose to much, under 50% victory stat makes me unhappy.

    So players who win a lot, who play reg. dice, you would not win if you play with low luck?

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