A Walk in the Dark A look in to the mind of a D&D content designer

The Mathematics of Fixed Damage

Ever since I conceived the idea for creating A Night in Seyvoth Manor, I've been debating whether to use fixed damage values for the monsters and traps or not.

The general consensus is that using fixed damage values speeds up the encounter, primarily because mathematics becomes simpler. You don't have to read a handful of dice, add the modifier and figure out the total; it's one nice round number. No more fistfuls of dice!

The problem with using that premise in 4E is that the number is pretty much always the same. First off, when converting a monster's damage roll to a fixed number you kind of have to use the average of the damage; using anything other than the average wouldn't make sense (this is not taking "difficulty" in to consideration... we'll get to that later). But an inherent aspect of 4E is that, for any given level, all the monsters average the same amount of damage. That's by design in 4th Edition.

Damage, By the Numbers

As a point of reference, here are the average die values as presented in my 4E Dice Roller and in Sly Flourish's Die Roller:

Minion: 7 damage
Low: 10 damage
Medium: 14 damage
High: 17 damage
Limited High: 21 damage
Hardcore: 28 damage

Based on that, the first problem I have with using fixed damage would be that every monster would cause 14 damage, so for argument's sake let's make it a nice round number like 15.

Everything becomes 15 damage. Again, that's by design in 4th Edition; doing anything contrary to that risks unbalancing things. Sure there might be some exceptions to the rule - some things might do 10, some things might do 20 - but all in all it's the same average damage, over and over again. While creating my monsters for A Night in Seyvoth Manor, I actually got sick of writing "15 damage" in almost every stat block.

Critical Hits

One issue is how to handle critical hits. Gone are the days of the "ghetto crit" that could happen now; statistically speaking, a player is over three times more likely to roll maximum damage on a d6 (16.7%) than rolling a natural 20 (5%), so at low levels and players who may not have magical items a critical hit borders on being meaningless. So what do you do with critical hits and fixed damage? Double it? Add a die?

I thought about doubling the damage, but is that really "special"? With fixed damage, that's not much different than hitting twice. I tried to mitigate it by adding critical hit effects to monster powers, but sometimes  it feels like a lot of excess work.

Characters, By the Numbers

To figure out the effectiveness of fixed damage I decided to compare the above values to two different characters that would be playing such an adventure. Considering that it's a 6th level adventure, I created the weakest character I could think of (level 6 human wizard w/ 12 Constitution = 42 HP) and the toughest I could muster (level 6 dwarf battlemind w/ 21 Constitution and Toughness feat = 71 HP).

Using 15 as the base damage, it would take three shots to knock the wizard unconscious and five hits to drop the dwarf. That's arguably acceptable, but the problem becomes apparent when you realize that the wizard doesn't need a 12 Constitution... He could have a ONE as his Constitution (31 HP) and it would have the very same effect: he'd be at 1 HP after the 2nd attack and drop on the 3rd.

This means that the Constitution value - unless it's your primary stat - isn't as important. In the above case, if I knew the end result would be the same I'd consider leaving my Constitution as an 8 and boosting all my other attributes. After all, what's the point? It's not like a "lucky" damage roll might hurt... Spending the points to up my CON by 4 could be considered a waste.

I also compared the damage to the players Fourthcore game I'm currently participating in, who happen to be 6th level: we all have 60, 48, 51, 50 and 63 HP (average 54.5 HP). Using the 15 damage base rule, four out of five of us would get dropped in 4 hits. Despite the disparity in HP (12 points between the highest and lowest of the four that would be dr0pped), it all boils down to AC and not HP.

Time, By the Numbers

So, strictly from a mathematical perspective, I'm starting to not like fix damaged. But the question is: does it really improve play speed? With fixed damage do encounters blow by so quickly that it's worth the lack of randomness?

Many have pointed out that fixed damage improves combat speed considerably in epic tier, where you can expect pretty much any attack to use no less than 4 dice. And god help you if you crit, 'cause then you might be wheeling out five more dice. Oh and Sneak Attack, so there's four more. Or Hunter's Quarry. Or Warlock's Curse. Or assassin shrouds. Or this... or that... Bonuses galore. The days of throwing a bucketful of dice to determine damage are not forgotten. And it's not like past editions where the mage might have to roll 40d6s worth of damage every now and then... that's pretty much on every attack.

But we're not talking about epic tier here; we're talking about level 6. For the most part, all damage rolls end up bring at most two dice, maybe three. If everyone does what I do and rolls damage at the same time as the attack, does the math really take that long to do? I'm a mathematics and computer science major, so that math is pretty easy for me, but I can't speak for everyone else at any given gaming table. Help me out here... How long does it take you?

So I've been trying to think of how to quantify this. Let's try to figure this out; please let me know if my logic is horribly , horribly wrong:

• I assume the average combat takes four full rounds, and there are five players against three DM controlled monsters. That's, on average, eight attacks going on in any single round (I'm balancing lack of attacks - such as for Second Wind or other support duties - to compensate for opportunity attacks, granted attacks and minor action attacks from monsters). That's 32 possible attacks.

• Let's assume 70% of those attacks hit. Given the attack bonuses, that seems like a reasonable expectation. Rounding up, that gives us 23 attacks that require a damage roll.

So time to do a little testing.

For testing purposes, I'm assuming the attack and damage rolls are made separately. And here's what I did:

Time Spent Finding Dice: If your weapon always deals the same die's worth of damage, that die should not be far away. So I'm estimating the time to reach over and grab one or more of these dice, separate from getting the necessary d20, at about 5 seconds.

That, in my opinion, is high - I spend that amount of time looking for the dice inside of my bag, so I can only assume you don't have an idiot player that stows his dice after every roll - but we'll roll with it.

My test subjects.

Rolling Dice and Adding: I grabbed my box of dice and picked some test subjects; I chose d4s because they are the hardest to read when thrown (they can't technically be read from directly above), and to compensate for the low number I got six of them. I also got one d20 that I will roll prior to starting the clock to determine the modifier I would be adding to the die roll; for example, if I roll an 11 on the d20 my damage roll will be 6d4+11.

After twenty rolls using this style, I averaged 8 seconds per roll. Because, let's be honest, math comes easy for me I'll double that number for the purposes of this test. So let's leave it at 16 seconds.

Applying Damage: The time spent to apply the damage does not change whether the damage itself is fixed or not, so it has no bearing on this test.

So let's round things off and say that for each damage roll the player spends 20 seconds. Let's add 50% and make it an even 30 seconds. Multiplied by the 23 attacks that hit you're looking at 460 seconds, or just under 8 minutes in every encounter.

Eight minutes an encounter, and that's a high estimate in my opinion... Is that really such a big deal, especially considering how long 4th Edition encounters take now?

Personally, I don't see that as enough time to justify it, but that's just me. I'd love to hear if anyone out there has had different experiences.

Conclusion

In the end, I'm still not sure. I'll continue to use fixed damage simply because I started that way, but it's not all that hard to change at this point.

What do you think? How do you feel about it, good or bad? Do you use it? Is it simply a matter that combat just feels quicker when there are less dice, even though it might not actually be significantly faster?