Tuesday, December 10, 2013

Draft Format Season Lengths

There are things you don't notice in Magic until you've been playing regularly for a while. One is the length of a given draft format season (i.e. How long have we been drafting this set?). Sometimes you just get tired of drafting a given format for various reasons. Maybe you're not doing very well. Maybe you just don't like the set that much. Maybe it's just not a set that rewards tons of drafting.

Looking at the release dates of the last 10 major sets (I'm excluding special sets like Modern Masters), here's an infographic showing the lengths of each live draft season:


























I came back to the game and started drafting heavily right at the beginning of Innistrad, so I didn't realize how long we drafted it. It was an awesome set to draft and I was still learning, so fatigue didn't really set in.

But you'll notice that seasons for the last set in the year, usually the first set of a block, are the longest, by nearly a month in most cases. This has a few ramifications.

One, at least at my local game store, it means that the number of drafters wanes as the season wears on. Some people draft to get cards for Standards, and midway through the season they've either drafted, bought, or traded all the cards they need. Some people just get tired of the format. Innistrad and Theros are very rich draft sets, and I haven't gotten tired of Theros yet, but we've got nearly two more months of it. I think by the end of the year I will have gotten my fill.

Another by-product of the length of a season, at least for me, is how it affects my win percentage. I'm usually pretty early out of the gates. I listen to the LR set reviews before pre-releases if I can, and practice on sealed generators and/or draft simulators. I have a great win percentage at pre-releases and early in the format. But then something happens. Everybody else figures the format out. Halfway through the season, even the more inexperienced drafters have pretty solid card evaluation and know what the higher-tier decks are. A better player starts to lose equity, since one of the only areas they can gain an edge is during play.

I'm experiencing this right now. I'm on a horrible downswing in live play, getting completely blanked (zero wins) the last two weekly drafts at my local game store. It seems to be a perfect storm of drafts gone awry (weak packs, inconsistent signals, etc.), the weaker players getting stronger, and just some good old variance.

Last week, I lost all three of my matches 2-1, each deciding game super close. We also do within-pod pairings, meaning that we tend to get more pair-downs (2-0's playing against 1-1's), especially when people drop early.

My win percentage for Theros had been up around 80%, but it's now fallen to around 74%. Still good, but not killing it. In between those two horrible weeks at my LGS, I top-16'd a Pro Tour Qualifier in Austin, TX, getting 11th out of 154 players, and just barely getting knocked out of the top 8. So I know I'm still playing strong. But as the format slogs on, the weaker players have much more room to grow, and that's exactly what they're doing. Just means I have to try to improve proportionally, and try to eliminate even more of the inevitable mistakes in draft and play.

I also wonder if this season length is a happenstance, or whether Wizards does this intentionally for some reason. For drafting, and probably constructed, the game would probably feel fresher if they shortened the release cycles for the year-end sets. Or, they could try something akin to what they do on MTGO, reprint a flashback set to ease the fatigue.

It's kind of a shame. I think I'm going to get sick of Theros, but I think it's been a very fun draft format, so I don't want to run it into the ground. Long draft seasons should also be an opportunity to experiment with twists on formats (like back drafting), but those are likely to be even less popular than standard drafts. 

Ah well...buckle in for two more months of Theros, folks.

Magic Online Accepting Beta Testers

Magic Online is currently accepting applications for beta testers. I've been in the closed beta for over a year and a half now and it's pretty awesome. You get to play MtG for free (sort of). The cost is being vigilant in reporting bugs in the beta, but you're actually helping make MTGO better, so that should give you a warm and fuzzy feeling anyway.

Apply here.

Monday, December 9, 2013

Draft Format Attributes

A while back on Limited Resources they had on Brian David-Marshall, who talked about whether or not a given draft format was a prince or pauper format. This designation refers to the distribution of power among the cards in the format. A prince format is one in which the power level of the rarer cards is very high, so the format is very bomb-driven. So, a pauper format is one where the power distribution of the cards is flatter (the bombs are not as impactful, though commons and uncommons on average are).

I've been drafting heavily for over two years now, and thought a lot about various formats and some other attributes that define them. These categorizations might be able to help you adjust to a particular format, but in some cases they are simply qualitative measures that may make you favor a particular format over another. 

Deep/Shallow

This designation is somewhat similar to prince/pauper, since it deals with the distribution of power level of cards in the set, but the depth of a particular format has to do less with the difference in power level between the bombs and the commons and more to do with how quickly the power level declines among the commons.

A deep format is one in which card quality remains relatively high even towards the end of packs, meaning there are probably still playable cards among the last three picks. A shallow format, however, sees a dramatic falloff in card quality soon after the best cards are taken, so that typically in the last half of a pack, finding desirable cards is very difficult.

An example of a deep format is Innistrad. In the same block, Avacyn Restored was a shallow format. I would often end an Innistrad draft with 27 or more playables, and the difficult decision was which cards to cut. AVR was the opposite, and I'd be scrambling for playables by the end of the draft. During deckbuilding I'd have to decide which cards were the best of the worst to include. Both situations require useful skills. They both involve maximizing the value of your pool, but shallow formats are more unforgiving, especially in the latter part of drafting if you're not mindful about what your deck needs and you panic and make bad decisions like moving into another color to strain your mana base.

Slow/Fast

Of course, some of these designations aren't mutually exclusive. When we talk about the speed of the format, we could be washing out information by just talking about the average speed. A given format may support decks at both ends of the spectrum, in which case talking about the average speed (e.g. on average most games end on turn 7.2) is not very useful.

The current format as of this writing, Theros, is a good example. It's not all that useful to talk about whether the format is fast or slow. What is useful to know is that the format supports some very fast decks, and so your grindy, powerful deck needs to be equipped to deal with them or you could be losing a lot of matchup-dependent games. For example, in one of my first Theros drafts, I had a very powerful blue-black deck, with four Grey Merchants. I knew the power of the card, even early in the format, and I expected to be able to come from behind against even the most aggressive starts. In round one, I faced a red heroic deck that turn 1'd an Akroan Crusader, then used two heroic triggers on turn 2, and was swinging for 10 on turn 3. I had no defenses in place and got completely run over.

In subsequent Theros drafts, when drafting a slower, more controlling deck, I began to prioritize early blockers in my colors, especially the two cheap deathtouch creatures, Baleful Eidolon and Sedge Scorpion. Cheap defenders like Returned Phalanx were also very important to fend off the super-aggressive decks and buying time to play very powerful cards like Grey Merchant.

In the last format, M14, the lower overall power of creatures meant that you were unlikely to be facing enormous pressure early, and people started to figure out that the expensive card-advantage spells like Opportunity were much better because of it. The most aggressive deck was probably slivers, but that was a very difficult archetype to draft, since the slivers were good on their own and it was difficult to draft a critical mass of them. So unlike Theros, making sure you had answers to very early aggression wasn't quite as important.

Balanced/Unbalanced

The MtG design team usually does a decent job of balancing the card quality among the colors, but it's a difficult thing to get just right and sometimes the format just isn't balanced. Avacyn Restored is a good example, with blue, green, and red being far better than white or black. Black was also in the unfortunate position of getting a rather weak mechanic (the so-called "loner" mechanic), in lieu of any soulbond, which was a very strong mechanic. Even though black had the best removal on average, and a few standout cards, it was usually avoided. This led to a sub-strategy where a careful drafter might be able to exploit black's undesirability and soak up all the black cards, making a reasonably powerful deck. Some players swore by this strategy, but I rarely saw it in action in practice. A lot of the better black cards, like Homicidal Seclusion and Killing Glare, were easily splashable, so strong drafts often cut them, making the lone black deck at the table significantly worse.

If there is a quality disparity, and you can identify it early, you might have a significant advantage over fellow drafters. As a format wears on, though, that advantage is going to diminish. There might be cycling strategies where, as in Avacyn, you can prioritize the weaker color in an effort to get a strong pool with the best cards in the worst color, but again, I have usually not found this to be a good strategy.

Constrained/Free

Some formats lead you down certain paths, and punish you from deviating from them. I call these formats "constrained". The more constrained, the fewer archetypes the format supports. The most obvious example are the recent Return to Ravnica formats. The first two sets basically forced the drafter into one of the five guilds. If you were drafting RTR and decided to draft a non-guild color combination (such as UG), your deck was probably going to be worse than most guild decks, which were rewarded with powerful aligned gold cards and high synergy between the aligned colors. Same with the following set, Gatecrash. 

Another constrained recent set was Modern Masters, which sported very rigidly-defined archetypes (Giants, Faeries, Affinity, Rebels, etc.). Deviating from one of the main archetypes usually led to sub-par pools, since the cards in those archetypes were highly synergistic.

A good example of a free format was M13, in which the colors were very evenly balanced and a strong deck could be built out of nearly every two-color combination. The result is a format that generally rewards repeat play. I found myself getting bored more quickly with the RTR drafts because there were basically five decks you could build, and you usually either got a very strong representative of that archetype, or you were getting cut and got a very bad deck in your guild.

Conclusion

One thing I didn't discuss was the average power level of the format (e.g. Cubes often have extremely high average power levels). Classifications based on relatively power level (e.g. between the rares and commons as in prince/pauper, among the commons as in deep/shallow, or between colors as in balanced/unbalanced) is more useful. 

I personally prefer deeper, balanced, freer formats, though I did enjoy drafting the RTR formats and Modern Masters. Avacyn Restored was probably my least favorite format over the last two years, since it was a very princely format (cards like Bonfire and Entreat were basically unbeatable), very shallow, and unbalanced.

The current format, Theros, is quite good, though. The average card quality is high, and it supports many different archetypes, of varying speeds. Grey Merchant should totally be an uncommon, though.

Wednesday, October 16, 2013

Theros: The Power of Four

So I've drafted Theros four times now. The last three drafts I've been lucky enough to have multiples of powerful cards, specifically four of each.

Draft #2: Four Grey Merchants.

This was still early enough in the format where people hadn't realized how nuts this card is. Now pretty much everyone knows. I could have had five, but I took Celestial Archon instead. Seemed good at the time, but in hindsight I think a 5th Merchant would have been better. This deck went 4-1, losing the first round to a ballistic heroic start both games. If I had any time at all to set up, this deck basically could not lose. I learned to value the 1/1 deathtouch in black and also Returned Phalanx, early blockers that buy me time to get into midgame, where I basically cannot lose. Sadly, this was probably the best deck I'll ever draft in the format, and it got me 6th place and 3 packs.


Draft #3: Four Deathbellow Raiders.

I also had two Kragma Warcallers and 10 minotaurs total. That's a lot of beef. The deck smashed pretty hard and went undefeated.


Draft #4: Four Horizon Chimeras.

If you're the only UG drafter at the table, life is good. This card combined with lots of card draw makes life very difficult for your opponent. This deck went undefeated as well.


The Merchants and Raiders are common, but the Chimeras are uncommon. It's much more difficult to score multiples of uncommons, though if they're multicolor and that combination is open, it's much easier. I could see getting four Kragma Warcallers, since minotaurs seem to be a bit underdrafted. Battlewise Hoplite is another possibility.

My dream draft tonight is Wx heroic with four of these guys. But I've been pretty lucky so far and that's pretty unlikely to happen.

The format is better than I thought it would be. It can be swingy, but not nearly as bad as AVR. The removal is pretty bad, but cheap deathtouch and bounce keep things reasonably balanced.


Friday, July 5, 2013

Chandra, the Underwhelming

So here's the new Chandra:


Yawn. Conley Woods has an article today where he assesses her and actually thinks she's pretty good. I don't see it. The most recent planeswalker printed is Ral Zarek, who is also four mana and gives you a Lightning Bolt for -3. That's nice value. Ping player and creature for 1? No thank you. And the zero ability means you're not playing anything on curve. If you untap with her, her value goes up substantially, but the turn she comes into play she is very weak.

I know some people were hoping for a 3-mana Chandra, and also a playable one. Here would be my initial cut (click to enlarge):


Her loyalty equals her casting cost, which is a good sign. Her plus ability is aggressive, as red should be. It synergizes with aggressive cards like Hellrider and gives you a dude as a possible sac outlet or excellent trade target. If you can somehow copy it via populate or another mechanic, you've got a blocker to protect her, but for the most part it's a balanced, standalone ability that works with red's flavor.

Her minus two is a solid, if unexciting, shock. If Zarek gets a bolt, surely Chandra should at least get a Shock. Like Liliana of the Veil's -2, it's potential immediate protection, but puts her at a very vulnerable 1. Seems like a decent tradeoff.

If this Chandra's flavor is spawning elementals, and if her +1 makes little guys, why not have her ultimate scorch everything and make Ball Lightnings out of the results? This last one should probably be tuned. Maybe it shouldn't do 6 to each player. Probably the elementals should be exiled at end of turn. But you get the idea. This is the kind of ability both playwise and flavorwise that I want to see on a Planeswalker. You probably win the game, and it's hyperaggressive, but a single Profit/Loss or Electrickery will wipe all your new dudes, so it's not necessarily and insta-win.

Unfortunately we're stuck with the clunky new Chandra. I don't think she's very good, except in Limited, which is what I most play. I could be wrong, but I don't think she'll see play in Standard. 

Sunday, June 2, 2013

DGM/GTC/RTR Strategies and an Update

So I've been trying to grind out 15 qualifier points to play in the Magic Online Championship Series in the middle of June. I'm behind the curve, with only 7 QPs and less than two weeks to go, which is a bit depressing. Yesterday I played 3 events and went 2-1, 2-1, 1-1, which isn't horrible, but doesn't get you there.

I'm really struggling in the 8-4's, and I don't know if it's a learning experience or it's just killing my confidence. I'm noticing some particular patterns:

1) The competition is noticeably more difficult. I almost never run into people playing horrible cards or making clear mistakes.

2) Drafting fixing is a lot more difficult. I think the more skilled players are prioritizing gates much more highly. I've also run into more 5-color goodstuff decks, so this is either becoming a more popular archetype, or it was from the beginning and I just never got on board. Here's a video of Travis Woo drafting/playing this archetype (albeit in Swiss).

3) Pack 3s are going awful for me in general. Here's a recent article by Melissa DeTora where she's advocating focusing on picking/cutting a GTC guild in the first pack to insure good passes pack 2, and sort of picking up the stragglers in RTR, where are there is a higher ratio of good mono-color cards. That certainly sounds sensible, but it doesn't seem to be panning out very well.

The last couple of drafts I've tried to draft as aggressive a deck I can, picking very fast cards like Spike Jester and Viashino Firstblade in pack 1. This seemed like a reasonable plan, since I'm cutting two GTC guilds (Orzhov and Boros), so I should get a pretty solid stream of one or the other, allowing me to move in heavily. Then, depending on my concentration in pack 2, pick up solid mono-color cards (e.g. Gore House Chainwalker, Splatter Thug, Undead Reveler) and possibly Rakdos in the first half of pack 3, though I should only really need 3-4 more playables at that point.

Well, it just hasn't worked out very well. I get a sparse sampling of on-color cards in pack 3. Fixing is nearly non-existent so the last draft I ended up with zero gates and a near even mix of colors, which is awful for an aggressive deck. The best two drops are often two colors, and without fixing, you're much less likely to play them on turn two. I have also not been opening on-color bombs in draft. You don't necessarily need them, but they sure make life easier.

So I've been able to blitz past my opponents in early rounds with this strategy, but when I run into a solid midrange or 5-color control deck, I get them to 6-8 life, then they stabilize, and I can't finish them. I've had games where I'm just drawing to an Explosive Impact or Cinder Elemental because my attacks are completely shut down.

To adapt, I probably need to draft less high-variance aggressive decks to ones with a more balanced middle to late game and higher power. I should probably prioritize fixing higher than I do. As an exercise, I should probably attempt to draft a 4-5 color deck. I never seem to do well with multicolor decks. It seems to me that because you have to dedicate so many slots to non-land fixing, your average card quality needs to be a lot higher to make up for it. That means that you need to draft a lot of very high-end, expensive cards. If that doesn't happen, it seems as if you're just screwed.

Anyway, I'm still tearing it up in live play with my general approach, but getting mauled in 8-4's. Maybe that means I'm learning. Or maybe I'm just sucking. If I don't get 4-5 QPs this week, I'm not going to make it to the MOCS qualifier, so we'll see.

Monday, May 27, 2013

Expected Value and Magic Online Drafts

I've been playing quite a bit more Magic online, and if you're playing a lot, the more you're losing per event is a lot more impactful on your pocketbook. I had read a few sources online regarding expected value (EV) and various MTGO event formats, as well as what they've said on the subject on Limited Resources. The general consensus seemed to be that 8-4s were the way to go, but I really wanted to see for myself, so I coded up some simulations in Java and let 'em rip.

I was also curious about the EV for Phantom Sealed events, so I included that in the simulations. Let's look at the first graph, which doesn't take into consideration the cost of playing an event or the resale value of cards:

I start at 50%, because if you're not winning at least that much, you're gonna have a bad time anyway. As you can see, 8-4 is indeed the most profitable payout structure, no matter what your win percentage. It has a steeper curve than the others, which means that it also scales better as you improve (smaller improvements in your skill lead to proportionally bigger earnings).

The much-maligned 4-3-2-2 isn't really that much worse than Swiss below about a 70% win percentage, and after that it is actually better than Swiss. But obviously, no matter what your win percentage, if you care about maximizing your earnings, you should be playing 8-4s. 

Phantom Sealed looks the worst here, but we're not considering the cost of playing the event, which is a pretty big factor. Let's look at the data when we take cost into consideration:


Here the payout is adjusted to tickets, and I've also made some assumptions that may or may not be valid. First of all, for the three draft formats, the cost is 14 tickets (assuming each pack is worth 4 tickets and the entry fee is an additional 2 tickets). I'm also assuming a pretty generous resale value of 5 tickets for the drafted cards (or about 1.67 tickets per pack). Your tendency to money rare draft will affect this estimate, but it seemed like a reasonable baseline for comparison.

I think the data gets a lot more interesting when we adjust for cost and resale value. The first thing I noticed is that 4-3-2-2 and Swiss are both unprofitable until you reach around 73-74% win rate, which is quite high. So you have to be playing at near the highest levels in order to just break even in those structures, although again, below that, the difference between them is not that large.

The next thing to notice is that you only need about a 60% win rate in order to be profitable at both 8-4 and Phantom Sealed (which cost 4 tickets, but don't let you keep any cards for resale). Assuming you were able to resell your packs at or near face value from Phantom Sealed, you could "go infinite" with a 60% or better win rate. Same with 8-4s, though since the payout is proportionally larger, it would be quite a bit easier to go infinite in 8-4s. Again, this is assuming a card resale value of 5 tickets per event, which may be right on, or may be much too high. 

I would love to see some actual stats for various players regarding win percentages with fairly large sample sizes. There are some obvious reasons why some top players may or may not want to share this information. If any of you out there keep records, by all means share if you don't mind. From the records I've kept, here are some of my stats:

Live play at my local game store:

88 events played
Match win percentage: 67.37% 

Some of that is a result of intentional draws either into or in finals, so it should actually be a little higher. My win percentage by set/format is as follows:

ISD/ISD/ISD
0.648

DKA/ISD/ISD
0.705

AVR/AVR/AVR
0.623

M13/M13/M13
0.752

RTR/RTR/RTR
0.631

GTC/GTC/GTC
0.700

For records I kept drafting last year online, most of which were Swiss events, my average win percentage was 64.20%. This year, so far it's 64.58%, mostly playing 8-4s. So I seem to do a little worse online than in person. Part of that may be issues with the MTGO interface, slightly tougher competition online, or other variables. 

For a little more context, Paulo Vitor Damo da Rosa at one point had a 65% match win percentage at Pro Tour Events, and this was considered outrageously good, considering the level of competition. Another article notes that the all time winning percentages of pros in the Hall of Fame, starting with the highest all time are:

Jon Finkel, 63.39 %
Kai Budde, 62.86%
Olivier Ruel, 61.97%
Zvi Moshowitz, 58.58%
Tsuyoshi Fujita, 58.53%
Antoine Ruel, 57.72%

Again, this is a pro-level environment. We'd expect these players to have significantly higher win percentages in softer environments (though how much more...who really knows?). My intuition is that maintaining any win percentage above 75%, even for top players, is very difficult. Though again, I'd love to see some actual data.

One more note, since I'm interested in making a run for the Magic Online Championship this season (which runs from the middle of each month to the next). You need 15 qualifier points (QPs) to qualify for the prelims, and 35 to go straight into the main event. According to my rollout simulations, with a 65% win percentage, the distribution of event outcomes is as follows:

Events: 1,000,000
3-0: 273,396
2-1: 147,883
1-1: 228,048
0-1: 350,673

Some interesting things to note: Even with a respectable win percentage, you'll still need to play over 50 events, on average, to get to 15 QPs. You'd have to play about 130 events to get 35 QPs. Luckily, if you're playing at this win percentage, you're profitable. Still, that's a bit of a grind (you'd need to be playing about 2 events per day on average).

Another thing to note is that you will have more 1st-round losses than any other kind of outcome, so you shouldn't get too bummed when you are 1-and-out. This will happen the most often. If you didn't know this was a statistical certainty, you might get discouraged that you were going 0-1 more than 3-0, but even with a respectable win percentage, this is the norm. Along those same lines, this means you will not win any packs in well over half your drafts (58%). But that's okay. You'll have short term variance that may eat into your bankroll, but if you are a reasonably good player, you'll regain those losses if you keep at it.

Unfortunately, you're not going to buy a summer home with your winnings, but you will actually eke out a small profit while playing a game that you presumably really like. Seems like a decent deal to me.

If you have any questions/criticisms of my methodology, please let me know in the comments. Also, if you have any data to share, go for it.