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Author Topic: Which Cards Are Most Luck-Dependent?  (Read 18697 times)

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Matt_Arnold

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Which Cards Are Most Luck-Dependent?
« on: June 04, 2012, 12:35:05 am »
0

Of course, it's a card game. There will be shuffle luck. Granted. But let's say you're allowed to choose your 2-5 or 3-4 opening split. For purposes of a tournament, which cards cause the outcome to depend on luck the most?
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Re: Which Cards Are Most Luck-Dependent?
« Reply #1 on: June 04, 2012, 12:37:36 am »
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Well, regarding the opening... it's Familiar, I think. That's where you are really crushed for bad luck.

There are also 2 cards I mostly like but they can be ragefully luck-reliant on Turns 3/4.... Baron and Salvager. Drawing/not drawing them with Estate is so frustratingly important. And often times they are strong openings on the board, so it's not like it's usually avoidable.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #2 on: June 04, 2012, 12:41:07 am »
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Swindler--I've had games where I hit 3 Estates in a row, and I had one game where I hit 5 of my opponent's Coppers. That's real bad cuz Swindler's cursing does more to damage economy than even Sea Hag's--those Coppers are important early on.

King's Court, race to be the first to draw $7, then race to be the first one to connect it with something.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #3 on: June 04, 2012, 01:02:53 am »
0

I think Tournament is very luck-dependent.

I think this even though:

it is my highest % buy (96.4) (obviously too high)

it is my worst effect without (-39.86)

and i have a perfectly solid effect with (1.25)
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Dsell

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Re: Which Cards Are Most Luck-Dependent?
« Reply #4 on: June 04, 2012, 01:52:33 am »
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There are also 2 cards I mostly like but they can be ragefully luck-reliant on Turns 3/4.... Baron and Salvager. Drawing/not drawing them with Estate is so frustratingly important. And often times they are strong openings on the board, so it's not like it's usually avoidable.

Didn't you say before that you hate the luck factor in tournament? It's suspiciously absent from this list!!

Totally kidding. ;D (Hope that's not crossing any rules lines...)

Actually I totally agree and would add to that list Remake. A hand of Remake-Copper-Copper-Copper-Copper can really really suck.

Also I would add by far one of the most luck-dependent cards: Black Market. Oh you got the Mountebank and the Chapel? Well I got the CARAVAN!! WOO!

Honorable mention goes to Possession. It's hard to hit 6P but it's not so bad in an engine, where possession can benefit you the most.
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michaeljb

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Re: Which Cards Are Most Luck-Dependent?
« Reply #5 on: June 04, 2012, 02:25:22 am »
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Actually I totally agree and would add to that list Remake. A hand of Remake-Copper-Copper-Copper-Copper can really really suck.

But I usually like getting rid of 2 Coppers...but I suppose it's true that if you drew that, your Remake is missing the Estates, which is where you really want it, so that makes sense.

Also I would add by far one of the most luck-dependent cards: Black Market. Oh you got the Mountebank and the Chapel? Well I got the CARAVAN!! WOO!

I would love to see someone play Black Market and draw Fool's Gold, Treasure Map, and Peddler all at once.
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kn1tt3r

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Re: Which Cards Are Most Luck-Dependent?
« Reply #6 on: June 04, 2012, 03:18:01 am »
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Swindler and Black Market feel very luck dependend, but it might actually be more severe for real power cards that need to be bought soon, activated, drawn together etc., like Familiar, King's Court and such. I'd also like to add Jester to the list - gaining power cards vs. hitting Silver or even Copper is just a huge swing.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #7 on: June 04, 2012, 07:39:48 am »
+1

Can we define this quality we're identifying, in such a way that it could be measured in simulations?

I mean, sure, Swindler has an element of luck to it. But is it really more so than any other topdeck-affecting attack? Isn't it just a stronger attack than, say, Thief? Not more luck-based-- just stronger. The question isn't about strength. Thief is still able to steal a Platinum. It happens if you're lucky, and there's that word again: luck. It's a card game. It's guaranteed that there will be more than zero luck.

Many cards reward you for having them in hand with a specific other card. Baron and Estate. Moneylender and Copper. Is this really what we want to call swinginess? I mean, that's what the game is about. That's why there exist Warehouse, Tactitian, name a support card and that's pretty much why it exists. For that matter, trashers support that type of card too. Maybe what we mean by saying Baron and Salvager are swingy, is that they affect the outcome of the game too early in the game? (I'm not sure that's true, but I'm looking for a definition of swinginess.)

So. What do you think is a good precise definition of swinginess? The type of definition that a computer could score as a percentage by analyzing statistics? Can an equation, algorithm, or what have you, identify the level of influence of skill over games containing a particular card?
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BaruMonkey

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Re: Which Cards Are Most Luck-Dependent?
« Reply #8 on: June 04, 2012, 08:22:24 am »
+1

I'm surprised nobody's mentioned Treasure Map as an option yet!
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Re: Which Cards Are Most Luck-Dependent?
« Reply #9 on: June 04, 2012, 08:36:58 am »
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I am afraid of posting in this thread since rrenaud could prove anything wrong with half an hour of coding...  8) ;)
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Re: Which Cards Are Most Luck-Dependent?
« Reply #10 on: June 04, 2012, 08:40:58 am »
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I am afraid of posting in this thread since rrenaud could prove anything wrong with half an hour of coding...  8) ;)

haha good call.  i wonder if our gracious hosts could give us some information about tournament.  % of the time P1 hits their tournament first, win rate of player who hits their tournament first, stuff along that line.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #11 on: June 04, 2012, 09:29:33 am »
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Familiar is the only card I think is really clear cut, obvious, not helpful card for a tournament.  That 2p.

I would argue Treasure Map is a bad idea for tournaments, and actually during the last isodom I played I asked to forbid it (I'm older and wiser and would add Familiar).

Tournament is pretty controversial right now.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #12 on: June 04, 2012, 10:32:56 am »
+1

So - I think we're going to be unlikely to put forth a formula that lets us explicitly indicate which ones are more or less luck dependent.

In my mind we have several different cases of luck:

1.  Luck in ability to purchase the card because of its price

Prizes - The ultimate here - you can only gain them in very specific circumstances - and if your opponent does first, you can't gain it at all.
Possession - 6p is expensive.  It's hard to reliably get early, and if you get it late - the value of your possession is reduced.  As others have pointed out - this is mitigated if you go for possession in an engine deck - which is nice because your engine is more likely to play possession often.  It is also more likely to have your opponent want to quit dominion.
Golem - 4p is also expensive.  You want to wait a reshuffle before you go for the potion and the golem, but then you run the risk of overpaying for both of them.  Draw 6p?  Do you want the gold or the golem?
Familiar - I'm sure that Geronimo0 has simmed it, but I'm pretty sure that opening potion + $2 terminal/silver is the way to go here, but if you fail to buy the familiar on turn 3/4, then bad things happen.  Do you want to have some real rage?  You are 2nd player, your potion falls to turn 5 AND you draw 2p, and your opponent has already bought 2 familiars.
Alchemist - Not as bad as familiar - although just as hard to buy.  Since they are more of a long term play - its not as crippling to fail to buy them early.  Still not great though.
Forge - The ability to buy buy forge on turn 3 is obscenity.
King's Court - This will show up again - but as others have pointed out, getting 7 to buy KC is hard - but the value in pulling it off is crazy.
Goons - First one to goons has a decent advantage.
$5 Cards - There are several cards that are significantly more valuable if you can buy them early.  Sometimes you get lucky and can buy them on turn 1!  Trading Post, Mountebank, Witch, Torturer....
Mint - Did you happen to draw 5+ coppers?  Sweet!  Did you have silver + 3 coppers instead?  Sorry - you lose.  This is low on my list because it is rarely pivotal.  There is a special case of Mint / Fools Gold + 5/2 split, but we'll save fool's gold for later.

2.  Luck in ability to use the card to its fullest effect due to combinations
Tournament - I think this is self explanatory.  First you had to buy an early province.  Then you have to line it up with yours.  If you go heavy on tournaments, you can get lucky and prize sweep.  If you go heavy on tournaments and your opponent blocks it - you're f'd.  Unlike other lucky cards (treasure map is going to get its time) - ignoring tournament is generally a bad idea.
Remake - Lets look at two players.  They both open Remake / Silver.  On turn 3, player 1 draws Remake, 2 estates and 1 copper, and 1 silver.  He remakes his 2 estates into silvers, buys another silver, and draws his next hand: 5 coppers.  Player 2 draws Remake + 4 Coppers.  He trashes 2 coppers, and ends his turn.  He draws his next Hand - Estate x3, Copper x2.  Turn 4 - Player 1 Buys a Wharf.  Want to guess how this game is end?
Baron  Same as above.  One person uses baron to buy an early game forge.  The other person draws it with 4 coppers.
Steward - see above. 
Salvager - see above.
Chapel - see above.  The difference between "Ultimate Chapel" (Trash 3 estates and 1 copper, buy a Gold on Turn 4) and "Nightmare Chapel" - Trash 4 coppers, do nothing.

Young Witch - Best case - you draw the YW with your silver, buy a nice $5 card, and your opponent takes a curse.  Worse case - your YW doesn't get you to 5, your opponent blocks you with the bane.

Treasure Map - A turn 5 treasure map hit is obscene.  Turn 10?  Not so much.  This doesn't bother me much - because on average buying tmap is a bad idea.
King's Court -  Did you draw your KC with an action?  Awesome sauce.  A cursing action?  Good game sir.  Another king's court and a card drawer?  WOOOOOOOHOOOOO.  Did you draw it with treasures and estates?  Not so much.  Added bonus rage if you have multiple KC's, and you draw them dead together.
Throne Room - As above, but less exciting
$Village - Did you draw it with 2 actions?  Cool.  Did you draw all your villages in one hand, and your actions in another?  Boo.
Counting House  Did you draw it after a reshuffle?
Chancellor  Did you use it to buy a gold on T3 and reshuffle it?  AWESOME.  Did it show up on T3 with 3 estates? 


3.  Cards where the effect of playing them results in randomness.
Swindler - I swindle your estate into an estate.  You swindle my chapel into an estate.  I swindle your province into a province.  You swindle my duchy into a counting house.
Jester - I cloned your king's court.  You hit my silver. 

Finally - some bad cards that are random, but generally bad so its hard to have rage.
Saboteur
Tribute
Thief
Pirate Ship

Probably some more here, but I've posted enough for today.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #13 on: June 04, 2012, 10:38:12 am »
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I am not so sure that tribute is bad...

kn1tt3r

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Re: Which Cards Are Most Luck-Dependent?
« Reply #14 on: June 04, 2012, 10:49:50 am »
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I am not so sure that tribute is bad...
In general Tribute is good if your opponent plays a similar strategy. It's ok in engines if you need actions, but that only works if your opponent also has a high action density, and it's quite great in Big Money, but only if your opponent doesn't play a competing engine deck.

Tributes big problem is of course its unreliabilty, which certainly is much less of an issue in BM strategies.
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Captain_Frisk

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Re: Which Cards Are Most Luck-Dependent?
« Reply #15 on: June 04, 2012, 12:44:00 pm »
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I am not so sure that tribute is bad...

Sorry - that was probably strong, my posting got sloppier and sloppier - AND I forgot Minion... which can either destroy or save a hand.

As for Tribute:

Overall is is purchased 43% of the time, for a win rate with of 0.92 and a win rate without of 1.06.

You purchase it even less - 34% of the time.  You win with it @ 1.07 vs. 1.18 without - both lower than your average win rate of 1.19 (win rate given provinces available)

Maybe calling it a bad card isn't so strong after all....

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jonts26

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Re: Which Cards Are Most Luck-Dependent?
« Reply #16 on: June 04, 2012, 12:55:09 pm »
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Tribute isn't that bad. It's main strength is against big money. And you can use it either in an engine or big money yourself.

And I still have to say you have to use council room stats with a grain of salt. The community stats as a whole are skewed by lower level players not playing cards correctly and individual stats are skewed by the fact that it includes ALL of a players games. WW was at one point not so good as he is now.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #17 on: June 04, 2012, 01:03:04 pm »
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And I still have to say you have to use council room stats with a grain of salt. The community stats as a whole are skewed by lower level players not playing cards correctly and individual stats are skewed by the fact that it includes ALL of a players games. WW was at one point not so good as he is now.

regress regress regress
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Captain_Frisk

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Re: Which Cards Are Most Luck-Dependent?
« Reply #18 on: June 04, 2012, 01:13:28 pm »
+1

I would love it if rrenaud would add some filters to popular buys...

Namely - filter to only games between players of winrate 1 or greater.

Filter to a players last N games.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #19 on: June 04, 2012, 01:16:20 pm »
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Tribute isn't that bad. It's main strength is against big money. And you can use it either in an engine or big money yourself.

And I still have to say you have to use council room stats with a grain of salt. The community stats as a whole are skewed by lower level players not playing cards correctly and individual stats are skewed by the fact that it includes ALL of a players games. WW was at one point not so good as he is now.
Ironically, my recent winrate is much worse than my long-term one, because the people I play now are MUCH better.
CR stats in terms of overall card effectiveness are pretty meaningless.

Captain_Frisk

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Re: Which Cards Are Most Luck-Dependent?
« Reply #20 on: June 04, 2012, 01:24:47 pm »
+1

Tribute isn't that bad. It's main strength is against big money. And you can use it either in an engine or big money yourself.

And I still have to say you have to use council room stats with a grain of salt. The community stats as a whole are skewed by lower level players not playing cards correctly and individual stats are skewed by the fact that it includes ALL of a players games. WW was at one point not so good as he is now.
Ironically, my recent winrate is much worse than my long-term one, because the people I play now are MUCH better.
CR stats in terms of overall card effectiveness are pretty meaningless.

Agreed that they aren't perfect - but i think that its fair to say that that given a good player - the relative frequency with which they buy a particular card is probably a good indicator of card strength.

For example, your top 5 $5 cards in terms of % purchased are:
Mountebank, Ill Gotten Gains, Wharf, Witch, and Hunting Party

Your lowest 5 are: Outpost, Contraband, Counting House, Royal Seal, and Harvest.

I see a general "good vs. bad" discrepency there.  Perhaps "bad" is probably the wrong word... Situational is probably more reasonable... they just have fewer situations in which they are useful....
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popsofctown

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Re: Which Cards Are Most Luck-Dependent?
« Reply #21 on: June 04, 2012, 01:40:51 pm »
+1

Village?  At that point you're getting close to "Silver is a variant card because sometimes it misses reshuffles and sometimes it doesn't".

Village is at the point where I feel like we're playing dominion, managing probability, and if we play best of 7 we're going to have a pretty fair result.  If you play a BM/X and Y game instead of a village game, both players are more likely to mirror eachother's strategies more closely, and that produces a sort of variance in itself.

Variance is how frequently a card causes the player with the mathematically superior strategy for the entire game to lose, that is how I define it.  It's hard to simulate that because, although you can easily make a bot with buy rules that are smarter than another bot's, it's arbitrary how superior the superior strategy is.  It depends on the strength of the players.   You'd have to get players ten ranks apart to create buy rules for specific kingdoms and then simulate and get that rank 30 player's bot buys Familiar and goes on to build a wisely proportioned Hamlet/Menagerie/Steward deck to win 55% of simulated games, but wins 70% of the games if Witch is the curser instead.  Something like that.  But most Dominion players don't know how to build a good bot.  And you'd still have a variance specific to those two player strengths, the variance always changes (though some permeate all levels of play and all types of skill gaps so much we collectively whine about them)
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Re: Which Cards Are Most Luck-Dependent?
« Reply #22 on: June 04, 2012, 03:40:10 pm »
0

Village?  At that point you're getting close to "Silver is a variant card because sometimes it misses reshuffles and sometimes it doesn't".
I did have it lower down on my list. 

To me, it's more a question of "when does your engine take off".... we can both build identical engines - but the first person who can successfully get their villages lined up in the right place can make a huge difference - either in picking up the rest of the pieces of the engine - or in the special case of Torturer - driving the opponent from the hobby.

I also forgot to mention a 4th case of luck dependency - and those are cards that favor the person who wins the split.  Duke / Duchy... Fools Gold... Minion etc... Cursers etc.  You can go identical strategies, but if you end up on the losing side of the split, you may have just lost on account of luck.
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chwhite

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Re: Which Cards Are Most Luck-Dependent?
« Reply #23 on: June 04, 2012, 03:50:03 pm »
0

CR stats in terms of overall card effectiveness are pretty meaningless.

I couldn't disagree more.  While CR stats are not perfect, it's not like any other evidence we have at our disposal (primarily simulation and individual games) is perfect either.  CR stats are usually in the ballpark of "correct" and if you're careful with them (i.e. understanding WHY Silver has such a high "Win Rate Without") they're basically always useful.
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chwhite

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Re: Which Cards Are Most Luck-Dependent?
« Reply #24 on: June 04, 2012, 04:01:27 pm »
0

As for which cards are most luck-dependent, there are several categories I can think of.  You've got the $5 cards which are super-good to get on Turns 1/2, and thus magnify the luck of the opening split: Mountebank, Trading Post, Witch (and, conversely, cards which make 5/2 a death sentence, like Ambassador).  You've got cards which introduce heavy variance on Turns 3/4: Familiar, Swindler, Baron are all like this.  Deck inspection attacks tend to be high-variance too: Swindler and Jester are the worst offenders here since the other cards tend to not be good enough to matter, also Sea Hag because of the random discarding.  And then there are cards which reduce the game to one dimension, usually involving a pure rush (IGG, Fool's Gold- I don't count Minion here because the other Actions matter too much), to a lesser extent the strong BM+X cards might fit here but they can more often be a part of more diverse strategies, or avoided.

Once you get to Turn 5 and beyond the butterfly effect is less severe, so cards which appear to become swingy later (say, Tournament or Grand Market) are better than cards which swing right out of the gates.  You can usually mold your opening strategy to deal with them, so they're not nearly as bad.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #25 on: June 04, 2012, 04:18:23 pm »
0

CR stats in terms of overall card effectiveness are pretty meaningless.

I couldn't disagree more.  While CR stats are not perfect, it's not like any other evidence we have at our disposal (primarily simulation and individual games) is perfect either.  CR stats are usually in the ballpark of "correct" and if you're careful with them (i.e. understanding WHY Silver has such a high "Win Rate Without") they're basically always useful.
Well, I suppose I should say next to meaningless, rather than straight meaningless. But just because the other options have big flaws doesn't mean that this is better. I have no idea what you mean by 'CR stats are usually in the ballpark of "correct"'. I mean, they're absolutely correct, as far as I know. They don't lie. It's just, they only tell you what they tell you, and you really can't read all that much out of them. 'People buy card X all the time' does NOT mean that it's a good card. It means it's a popular card. "People win all the time when they get diadem" does NOT mean it's exceptionally good, or that it's the third-best prize. Correlation does not imply causality here. If anything, the winrates of how people do when they get cards tell me more about how the card is overrated or underrated than how good the card is. Now, in large bulk, you can get very vague generalizations out of the stats here, from the community's winrates as a whole. The top cards TEND to be better than the bottom cards. BUT this doesn't mean that it's true in any particular case. I mean, even in your post, you're doing this. You say that you have to understand WHY silver has a great win rate without. It's because among isotropic-ers, the people who ignore silver entirely TEND to be building a very successful engine. But how do we know that? Not from the stats. We know that because we already know it. Like, loan has a low winrate without. Does this mean that we should be preferring loan to silver all the time? The stats suggest that. But it's not such a hot idea. You have to analyze things apart from the stats to get anything useful. And in this case, you can get basically all that usefulness WITHOUT the stats. So they're not that useful really at all.

But the bigger thing is that all the time you quote your own "effect with(out)" stats as evidence that a card is good or bad. But that is TOTALLY wrong. What those tell us is that YOU are better/worse with/without the card, against the people you play against, in comparison to the 'average' isotropic player, against the people they play against. Which is to say, it tells us jack squat about how good the card is in general, let alone on a specific board. So you have great tournament numbers. Fine. But that does not tell us that tournament is a good card. It tells us that you're good with it, maybe. Definitely nothing more than that. The same thing, but to a lesser extent, to your own personal win with/without and given availability stats (or mine, or anyone else's); it just doesn't tell you anything about the card objectively.

chwhite

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Re: Which Cards Are Most Luck-Dependent?
« Reply #26 on: June 04, 2012, 05:52:45 pm »
+4

But the bigger thing is that all the time you quote your own "effect with(out)" stats as evidence that a card is good or bad. But that is TOTALLY wrong. What those tell us is that YOU are better/worse with/without the card, against the people you play against, in comparison to the 'average' isotropic player, against the people they play against. Which is to say, it tells us jack squat about how good the card is in general, let alone on a specific board. So you have great tournament numbers. Fine. But that does not tell us that tournament is a good card. It tells us that you're good with it, maybe. Definitely nothing more than that. The same thing, but to a lesser extent, to your own personal win with/without and given availability stats (or mine, or anyone else's); it just doesn't tell you anything about the card objectively.

It's not wrong per se, though sure it is incomplete, as it is one data point among many.  If most high-level players have good effects with Tournament, then that would certainly be evidence that tournament is a high skill card, and if most such players had negative effects, then I'd take that as evidence that it's a high luck card.  You're right that just one person is not enough to make sweeping generalizations, but if we could filter Popular Buys by level, then we'd get a much better and more useful picture.

To that end... let's pan out just a little wider.  Here are the current top 10 players on Isotropic, with effects with and without for two cards.  The first one is Tournament, a strong card that most people consider to be unacceptably high-luck but which I've been defending.  The other card is Mountebank, a similarly strong card which I would expect to be much more high-luck.  What can we see?

Code: [Select]
Player Tourn E/W Tourn E/WO Mount E/W Mount E/WO

WanderingWinder -0.79 2.62 0.36 0.80
-Stef- 1.83 N/A (!) -0.40 0.33
Marin -1.59 N/A (!) -1.50 32.56(!!!!!)
Obi Wan Bonogi -3.23 0.96 -3.17 1.39
jonts26 -0.69 0.68 -0.67 2.21
Fabian 0.25 1.29 -0.69 2.39
chwhite 1.15 0.68 -2.40 0.36
AVeryHappyFish 0.81 -0.96 -1.15 1.11
ARTjoMS 0.01 -1.85 -0.42 1.31
RomaNorgy -1.68 1.07 -2.08 0.69

What I found was a lot more small sample size oddities than expected.  Stef and Marin appear to have bought Tournament every single game, and Marin appears to be 1-0 in games where he skipped the Mountebank, leading to that ridiculous Effect Without.   And those are just the most egregious things.

Smaller oddities crop up when you look closer: Obi Wan Bonogi has a horrible Effect With for Tournament, so that's a possible data point for it being a luck-heavy card- except that Obi has far fewer Tournament games than anything which isn't Governor, Possession, or Hinterlands, leading me to the conclusion that he's probably vetoed it a lot and maybe hasn't bothered to develop Tournament strategy to the extent he has for other cards.  Also of interest: somehow AVeryHappyFish has only bought Mountebank 69.6% of the time, still with a positive Effect Without.  That's some impressive avoidance.

But anyway, what I'm seeing is a lot more consistent for Mountebank than Tournament.  All the top players have a negative Effect With for Mountebank except for you, and everyone does better when they avoid it.  The "effect without" unanimity can be explained, of course, by the fact that since we all know Mountebank is such a strong card, we only avoid it when there's a good alternative/counter, which is not the case for Isotropic at large.  But the fact that most top players have negative Effects With is, I think, evidence for the proposition that it's a card which is, in some way or another, anti-skill.

Tournament is more all over the map.  There's a tendency towards negative Effects With and positive Effects Without, but it's not so nearly pronounced as Mountebank.  Looking at these numbers (in conjunction with the real-game experience of myself and others, of course), I'm willing to say that Tournament is probably more luck-intensive than the average card, but it's far from the worst offender.  And also that Stef and Marin should try skipping it someday. :P
« Last Edit: June 04, 2012, 05:59:59 pm by chwhite »
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Re: Which Cards Are Most Luck-Dependent?
« Reply #27 on: June 04, 2012, 06:17:35 pm »
+2

Finally - some bad cards that are random, but generally bad so its hard to have rage.
Saboteur
Tribute
Thief
Pirate Ship

You take back what you said about Pirate Ship!  I've won using Pirate Ships several times.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #28 on: June 04, 2012, 06:32:24 pm »
0

I intend to respond to chwhite's stuff in a bit, both on the stats front and also on the tournament front. But I want to jump in now, while I don't have much time, and say that I don't think tribute is particularly good. Just not nearly in the class of bad of the other cards Captain Frisk mentioned.

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Re: Which Cards Are Most Luck-Dependent?
« Reply #29 on: June 04, 2012, 10:52:48 pm »
0

Smaller oddities crop up when you look closer: Obi Wan Bonogi has a horrible Effect With for Tournament, so that's a possible data point for it being a luck-heavy card- except that Obi has far fewer Tournament games than anything which isn't Governor, Possession, or Hinterlands, leading me to the conclusion that he's probably vetoed it a lot and maybe hasn't bothered to develop Tournament strategy to the extent he has for other cards.
Isn't that because he plays a lot of Colony games, which make Tournament less effective (meaning he isn't as comfortable with it when he does buy it)
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Re: Which Cards Are Most Luck-Dependent?
« Reply #30 on: June 05, 2012, 12:13:15 am »
0

Tribute is not bad. If you aren't running a tight ship on actions it's quite good in an engine, and is very very good in BM with light trashing.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #31 on: June 05, 2012, 10:24:21 am »
+2

Here is a nice empirical definition of luck driven cards.

Cards which are the most luck driven are the ones that make player based winner prediction the most difficult.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #32 on: June 05, 2012, 09:31:51 pm »
+5

This is directed mainly at chwhite, but also at everyone.
First off, on the stats: You talk about having small sample size effects. You do realize that the 'I have only skipped it in 5 games' isn't the only small sample size issue here, right? Like, those 10 players have what, 50k games? Or something? That's actually not a huge sample to start with, but then you switch it over to adding in they have to have yea-so-many with the card in question... it becomes sketchy. But then the bigger thing is that I have, personally, over 10.5 thousand Iso games. Those come against so many different opponents on so many different boards at some many different points in my skill level, from first and from second position, and they all just get lumped together. So but the biggest thing here is opposition. I have tons and tons of games against level 20- players. And I have tons and tons of games against 40+ players. And almost certainly, my mix of cards that I get in against these different opponents is pretty different. The issue here is that absolutely every one of these stats is based off of winrate. So first of all, my winrate is way more dependant on the strength of my opposition than most anything else around, including the specific cards present. So I have pretty bad effects with Hinterlands cards. Why? I'll tell you - mostly, it's because these are the newest cards, and it's most recently that I've been playing thousands of games against the other strongest of the strong. So even if I may be actually playing better now, just looking at winrate, it looks like I'm playing worse. Because I win less. But that's not on the cards I get, or the skill I'm showing, but mostly 'cause my opponents are better now. It's the same reason my level keeps going up as my winrate keeps going down. Now, what does that mean? Well it means there's pretty big incongruities and biases in your data, which is going to largely invalidate it. And yes, over large sample size, this should even out, BUT... I think we're well, well off from that. On top of the effect with(out) numbers being totally skewed if you don't account for how often the things are bought, and also that your opponents very often buy the same cards you do when you buy them, which skews the numbers again.

Now tournament. Tournament, I have long held, is a card that takes a lot of skill to play, but which also is one of the swingier cards in the game. It's not the swingiest (which I think is swindler, even above treasure map), but it's up there. Now why do I hate tournament? Do my tournaments get blocked and/or do my opponent's? This is the same issue, almost exactly that mountebank has. Mountebank itself is pretty swingy, and this subsumes most of its luck just right there, which isn't even close to the biggest thing about it. Ok. Now, I agree with you, you can really build a deck around getting your tournaments to go off, and basically this means an engine. But before we even get to the main issues there, let's talk about when there's no viable engine. So here, you very often just skip the tourney if there's a good BM option out there. But your opponent can get lucky and hit (a la treasure map) and while you're not lost, it puts you in a very difficult situation. But okay, let's say you're building that awesome engine. Now your opponent can still spike an early 8 for a province, or play a more BMish thing, hit early, or just block your tournaments which really slow your build-up, and again, you're backfooted, even though you're playing right. But okay, finally, and this is the really big thing. I know that I need to play an engine, you know that engine is the way to go, we both do it, invariably one of us gets to the key prize first and... unlike with most engines, that's basically just it, because I have no recourse to make this advantage back up later. And unlike most cases where I have no recourse, the game is going to go on for a good while longer while I get pummeled, because it's not that you've beaten me to the mega-turn. And there's LOTS of luck (lots of P1 too, but lots and lots of luck) as to who hits first. You probably don't want to wait to get the province until you can reliably draw your whole deck to buy province, because that'll be too late. So maybe you're drawing half your deck, or probably a little more. Okay, that means there's like a 30% chance or something that you hit in any given turn (you have to draw the tourney with the province before you play the tourney, and you have to worry about other tourneys getting blocked... eh, it's going to be higher than this sometimes, but probably not more than 60% or so, at least very early on), and the same for your opponent. Okay... that's pretty swingy as to who gets it first. So I mean, this is way better than if you've built it poorly, and you have, like a 10% chance on any given shuffle, let along turn. But that's still a lot of luck. And it's just so very frustrating to get your door punded in by followers, a curser AND discarder, or to get your usually-a-peddler turned into nothing. So that's why it's among the handful of my least favourite cards. And I don't know about the other top players in general, though I do know Marin has often told me he absolutely hates it.

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Re: Which Cards Are Most Luck-Dependent?
« Reply #33 on: June 06, 2012, 02:23:39 pm »
+1

So I thought about the councilroom problem and I think I have an answer of what you could shoot for if you wanted to build a filter.

For every two players X and Y, where X has won most of the games he played against Y (I think councilroom doesn't store ranks from certain points in time so this is the best reference point), look at the games where Y "upset" X.  The cards contained in that game are more likely to be variant cards.  It's a really weak correlation but I think that should work with sufficiently massive available information.


I'd like to say, niche cards that some players understand at high or low levels that do not correspond closely to the level at which they understand the game in general, such niche cards  will appear and mirror variant cards.  If the skill with those cards is sufficiently "arbitrary" that it behaves like a random variable.  For thought experiment, suppose that every game involving Cutpurse, the players played a game of Starcraft at the beginning, and whoever wins the game has his Cutpurse miss the reshuffle.  I happen to have played Starcraft before, so I would have a better chance of beating ehunt if Cutpurse is on the board.  Cutpurse is just one card so his inability to play Starcraft is not a reflection on his skill as a whole, it's not even wrong of him to neglect his study of Cutpurse/Starcraft because it's unlikely to appear at any point in time.
And of course, I also have a better chance of beating ehunt if a truly variant card is on the board, because I'm going to make poorer decisions than he.

Anyway, I think such a Councilroom filter would find both variant cards and niche cards.  I'm not sure how to filter out the niche cards, but I think we can make some guesses at what they are (Possession is both variant and niche, Tournament is both variant and niche, Swindler is pure variant, Inn is likely niche, but not variant.)
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Re: Which Cards Are Most Luck-Dependent?
« Reply #34 on: June 06, 2012, 04:59:44 pm »
0

For every two players X and Y, where X has won most of the games he played against Y (I think councilroom doesn't store ranks from certain points in time so this is the best reference point), look at the games where Y "upset" X.  The cards contained in that game are more likely to be variant cards.  It's a really weak correlation but I think that should work with sufficiently massive available information.

I actually did exactly this a while ago: http://forum.dominionstrategy.com/index.php?topic=1521.msg28157#msg28157. The results were a mixed bag. Sometimes they looked meaningful, sometimes not.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #35 on: June 06, 2012, 05:08:11 pm »
0

I think we should be open to the data challenging our expectations.  I think the data filtering is totally legitimate. 

Remember what I said about niche cards?  Duke is probably there as a niche.  Adventurer represents people who understand Dominion as a whole.

I don't know what to think of smithy, I haven't played a board weak enough where I needed to buy it in quite sometime.  It might have ended up filtering down to only pure BM/Smithy games.
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popsofctown

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Re: Which Cards Are Most Luck-Dependent?
« Reply #36 on: June 06, 2012, 05:11:47 pm »
0

Pearl Diver and other weak cards scored high too.  That's probably just measuring that less skill is required to play 8 card kingdoms etc.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #37 on: June 06, 2012, 05:12:17 pm »
0

I think we should be open to the data challenging our expectations.  I think the data filtering is totally legitimate. 

Remember what I said about niche cards?  Duke is probably there as a niche.  Adventurer represents people who understand Dominion as a whole.

I don't know what to think of smithy, I haven't played a board weak enough where I needed to buy it in quite sometime.  It might have ended up filtering down to only pure BM/Smithy games.
I think we should be open to the data challenging our expectations.  I think the data filtering is totally legitimate. 

Remember what I said about niche cards?  Duke is probably there as a niche.  Adventurer represents people who understand Dominion as a whole.

I don't know what to think of smithy, I haven't played a board weak enough where I needed to buy it in quite sometime.  It might have ended up filtering down to only pure BM/Smithy games.

So... the stats only tell us stuff if we filter out lots of stuff based on what we already know -> basically the stats tell us nothing. But it makes us sound like we have evidence when we pick and choose the stuff that seems to agree with us.

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Re: Which Cards Are Most Luck-Dependent?
« Reply #38 on: June 06, 2012, 05:19:38 pm »
0

No.  I'm arguing that Duke is ranked first, which creates a meaningful biconditional, "Duke is a variant card or Duke is a specialized card".  I conjecture that it's a specialized card, it could be variant.  It has to be one of the two, though.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #39 on: June 06, 2012, 05:23:02 pm »
0

Possession is neither variant nor specialized, so accusations that Possession is variant are false.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #40 on: June 07, 2012, 08:12:23 am »
+14

This is from sample of 2.5 M iso games. 

code is here:

https://github.com/rrenaud/dominionstats/commit/600047addfc61a9aa1ee7d53cc454ca01eef60d8

data is here: http://councilroom.com/card_luck2.txt.bz2 format is reasonably simple to figure out,

name1 : level1 : name2 : level2 : win_prob_for_winner : supply1,supply2,...

The measure is how hard a time trueskill had at predicting the winner, measured in conditional entropy given a card was in the supply. 

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


Goons 0.689 ± 0.002
Colony 0.694 ± 0.001
Platinum 0.694 ± 0.001
Bishop 0.695 ± 0.002
Ambassador 0.695 ± 0.002
Grand Market 0.696 ± 0.002
Black Market 0.696 ± 0.002
Worker's Village 0.697 ± 0.002
Chapel 0.697 ± 0.002
Peddler 0.698 ± 0.002
Young Witch 0.698 ± 0.003
Expand 0.699 ± 0.002
Masquerade 0.699 ± 0.002
Hunting Party 0.699 ± 0.002
Witch 0.700 ± 0.002
Ghost Ship 0.700 ± 0.002
Hamlet 0.700 ± 0.002
Mountebank 0.700 ± 0.002
Minion 0.700 ± 0.002
King's Court 0.700 ± 0.002
Sea Hag 0.700 ± 0.002
City 0.700 ± 0.002
Scrying Pool 0.700 ± 0.002
Menagerie 0.700 ± 0.002
Festival 0.701 ± 0.002
Torturer 0.701 ± 0.002
Steward 0.701 ± 0.002
Apprentice 0.701 ± 0.002
Familiar 0.701 ± 0.003
Forge 0.701 ± 0.002
Walled Village 0.702 ± 0.002
Trade Route 0.702 ± 0.002
Fishing Village 0.702 ± 0.002
Tournament 0.702 ± 0.002
Village 0.703 ± 0.002
Quarry 0.703 ± 0.002
Market 0.703 ± 0.002
Mint 0.703 ± 0.002
Ill-Gotten Gains 0.703 ± 0.003
University 0.703 ± 0.002
Pirate Ship 0.703 ± 0.002
Ironworks 0.703 ± 0.002
Upgrade 0.703 ± 0.002
Talisman 0.703 ± 0.002
Bridge 0.704 ± 0.002
Great Hall 0.704 ± 0.002
Vineyard 0.704 ± 0.002
Outpost 0.704 ± 0.002
Scheme 0.704 ± 0.003
Remake 0.704 ± 0.002
Border Village 0.704 ± 0.003
Remodel 0.704 ± 0.002
Warehouse 0.704 ± 0.002
Thief 0.704 ± 0.002
Salvager 0.704 ± 0.002
Wharf 0.705 ± 0.002
Spice Merchant 0.705 ± 0.003
Haven 0.705 ± 0.002
Mining Village 0.705 ± 0.002
Farming Village 0.705 ± 0.002
Rabble 0.705 ± 0.002
Contraband 0.705 ± 0.002
Potion 0.706 ± 0.001
Workshop 0.706 ± 0.002
Bazaar 0.706 ± 0.002
Fairgrounds 0.706 ± 0.002
Woodcutter 0.706 ± 0.002
Native Village 0.706 ± 0.002
Alchemist 0.706 ± 0.002
Watchtower 0.706 ± 0.002
Horse Traders 0.707 ± 0.002
Throne Room 0.707 ± 0.002
Fortune Teller 0.707 ± 0.002
Governor 0.707 ± 0.003
Lookout 0.707 ± 0.002
Mine 0.707 ± 0.002
Archivist 0.707 ± 0.038
Spy 0.707 ± 0.002
Apothecary 0.708 ± 0.002
Farmland 0.708 ± 0.003
Monument 0.708 ± 0.002
Tactician 0.708 ± 0.002
Smugglers 0.708 ± 0.002
Loan 0.708 ± 0.002
Transmute 0.708 ± 0.002
Envoy 0.708 ± 0.002
Inn 0.708 ± 0.003
Venture 0.708 ± 0.002
Crossroads 0.708 ± 0.003
Militia 0.708 ± 0.002
Nomad Camp 0.708 ± 0.003
Trading Post 0.708 ± 0.002
Duke 0.708 ± 0.002
Wishing Well 0.708 ± 0.002
Bureaucrat 0.708 ± 0.002
Secret Chamber 0.708 ± 0.002
Bank 0.708 ± 0.002
Herbalist 0.708 ± 0.002
Pawn 0.708 ± 0.002
Horn of Plenty 0.708 ± 0.002
Royal Seal 0.708 ± 0.002
Nobles 0.708 ± 0.002
Cartographer 0.709 ± 0.003
Mandarin 0.709 ± 0.003
Counting House 0.709 ± 0.002
Vault 0.709 ± 0.002
Harvest 0.709 ± 0.002
Highway 0.709 ± 0.003
Island 0.709 ± 0.002
Explorer 0.709 ± 0.002
Navigator 0.709 ± 0.002
Saboteur 0.709 ± 0.003
Cellar 0.709 ± 0.002
Coppersmith 0.709 ± 0.002
Shanty Town 0.709 ± 0.002
Pearl Diver 0.709 ± 0.002
Conspirator 0.709 ± 0.002
Cutpurse 0.709 ± 0.002
Feast 0.709 ± 0.002
Moneylender 0.709 ± 0.002
Laboratory 0.710 ± 0.002
Margrave 0.710 ± 0.003
Courtyard 0.710 ± 0.002
Develop 0.710 ± 0.003
Jester 0.710 ± 0.002
Hoard 0.710 ± 0.002
Philosopher's Stone 0.710 ± 0.002
Tunnel 0.710 ± 0.003
Haggler 0.710 ± 0.003
Tribute 0.710 ± 0.002
Baron 0.710 ± 0.002
Harem 0.710 ± 0.002
Fool's Gold 0.710 ± 0.003
Gardens 0.710 ± 0.002
Possession 0.710 ± 0.003
Adventurer 0.710 ± 0.002
Silk Road 0.710 ± 0.003
Oracle 0.710 ± 0.003
Scout 0.710 ± 0.002
Stash 0.711 ± 0.002
Oasis 0.711 ± 0.003
Golem 0.711 ± 0.002
Council Room 0.711 ± 0.002
Stables 0.711 ± 0.003
Moat 0.711 ± 0.002
Noble Brigand 0.711 ± 0.003
Swindler 0.711 ± 0.002
Embargo 0.712 ± 0.002
Caravan 0.712 ± 0.002
Chancellor 0.712 ± 0.002
Treasury 0.713 ± 0.002
Duchess 0.713 ± 0.003
Treasure Map 0.713 ± 0.002
Library 0.713 ± 0.002
Smithy 0.713 ± 0.002
Trader 0.713 ± 0.003
Merchant Ship 0.714 ± 0.002
Lighthouse 0.714 ± 0.002
Cache 0.714 ± 0.003
Jack of All Trades 0.714 ± 0.003
Embassy 0.714 ± 0.003
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Re: Which Cards Are Most Luck-Dependent?
« Reply #41 on: June 09, 2012, 08:19:17 am »
0

Hah, I knew why I didn't post in this thread!  :P
I think this conditional entropy measures a combination of two things:
- How much skills on kingdoms involving this card is correlated to skills overall, and
- to what extend skills on kingdoms involving this card affect the outcome.

For example, maybe Merchant Ship or Cache are partly up there because good players don't realize how good it is?

It's interesting that we all missed out on Embassy and JoaT. With Embassy it might be a combination of two things:
- It really simplifies the game if BM+Embassy is the best strategy.
- The luck related to Embassy is a bit more subtle - $P2 instead of $P3 on a familiar board on turn 4 is more dramatic than drawing Embassy on turn 3 or turn 4 - and quite a bit of the large swing only comes late in the game (big difference whether we get to that Embassy on the last reshuffle).
JoaT? Maybe just that the game become too simple?
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Re: Which Cards Are Most Luck-Dependent?
« Reply #42 on: June 09, 2012, 09:20:16 am »
+1

Hinterlands cards are probably high in that ranking list since they are the latest expansion. High ranked players will have lost games while learning the cards and then played comparatively few games afterwards to rebalance the stats.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #43 on: June 09, 2012, 12:00:35 pm »
0

Hinterlands cards are probably high in that ranking list since they are the latest expansion. High ranked players will have lost games while learning the cards and then played comparatively few games afterwards to rebalance the stats.

That's a good point.  Maybe a graph of this vs time would be useful.  I could also try discarding the first X games the players see each card.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #44 on: June 19, 2012, 08:48:44 pm »
0

I am so incredibly glad I posted this question. This is really what I was hoping for. Thank you to you all for these contributions.
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Re: Which Cards Are Most Luck-Dependent?
« Reply #45 on: June 19, 2012, 09:42:35 pm »
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The biggest thing I see in that list is that Goons is far and away the least luck-based card.
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18:28 MEASURE YOUR LIFE IN LOVE: you shouldve done the decent thing and resign rather than go on being that lucky all the time

she/her

blueblimp

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Re: Which Cards Are Most Luck-Dependent?
« Reply #46 on: June 19, 2012, 10:09:42 pm »
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The biggest thing I see in that list is that Goons is far and away the least luck-based card.

I'm a little surprised. There's a ton of skill in using Goons (and lots of people are bad at it), but there is a luck component in that if you can get a Goons play off before your opponent gets a Goons, it puts you at a pretty big advantage.
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rrenaud

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Re: Which Cards Are Most Luck-Dependent?
« Reply #47 on: June 19, 2012, 10:50:00 pm »
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But if/when to green and how to end the game are pretty important/skill intensive parts of skilled Goons play.
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Matt_Arnold

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Re: Which Cards Are Most Luck-Dependent?
« Reply #48 on: April 22, 2013, 01:10:42 pm »
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Can I ask a favor? Can I get a new version of that list now that Dark Ages has been out for a while? I'm designing sets of cards for a tournament, and would like to include a good number of high-skill cards.
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Watno

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Re: Which Cards Are Most Luck-Dependent?
« Reply #49 on: April 22, 2013, 01:37:54 pm »
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Noone said Minion? Seiously?
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ftl

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Re: Which Cards Are Most Luck-Dependent?
« Reply #50 on: April 22, 2013, 01:41:46 pm »
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I don't think there's a version of the list with Dark Ages? Dark ages wasn't on isotropic except for a brief moment, and nobody's modified council room to use Goko logs yet.
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