# Worlds of Design: Gun vs. Sword

Lanchester’s Power [Linear and Square] Laws mean that combat in science fiction RPGs will...

Lanchester’s Power [Linear and Square] Laws mean that combat in science fiction RPGs will usually be fundamentally different than combat in fantasy RPGs. Or the designer will have to somehow compensate, as in Star Wars.

Image by Andrea Wierer from Pixabay

F. W. Lanchester, a polymath, inventor, and co-founder of operations research (a subfield of applied mathematics), examined before and during World War I the effects of melee and firepower in attritional combat. This examination was part of Lanchester’s Power Laws. Here we’re discussing how these differences mean that combat in fantasy RPGs, as compared with science fiction RPGs, will usually be fundamentally different unless the designer somehow compensates, as in Star Wars.

Lanchester calculated that in attritional melee the strength of a force is proportional to its number, because there is no action at a distance (“Lanchester’s Linear Law”). It amounts to a 1 vs. 1 environment. In an era of firepower, where military units can act at a distance, the strength of a force in attritional combat is proportional to the square of its numbers. (Hence, “Lanchester’s Square Law.”)

For example, in a melee of 5 vs 10 (or 5,000 vs 10,000), in the time it takes the 5 to inflict one damage, the 10 will inflict two damage (or 1,000 and 2,000 damage). In a firepower situation, the 5 have a relative strength of 25, while the 10 have a relative strength of 100, or 1 to 4. So in the time it takes the 5 to inflict one damage, the 10 will inflict four.

Thinking in immediately practical terms, imagine a typical sword/axe/club melee in an RPG versus a typical pistol and rifle and grenade fight today, and more in a future of blasters. (Keep in mind, the monsters we often fight are also melee weapons, in effect.) Without the effects of fantasy superheroes, the melee is man-against-man, and even a great swordsman cannot dominate a big melee. In the fight of today or the future, a man with a ranged weapon, especially an automatic weapon or an explosive-projecting weapon, can kill dozens in a short time.

A designer of a science fiction RPG faces a problem; firepower-based combat must be very different from melee combat, and probably less satisfying for the players. What can the author/designer do to solve this problem plausibly?

Star Wars compensates for this with the Jedi and light sabers. An adequately trained Jedi with a light saber can block huge numbers of blaster bolts without fail (even though it’s physically impossible if three shots are on target at the same time). He/she can use their light saber to overcome opposing armor and other factors associated with advanced weapons technology, right down to cutting through steel bulkheads. The more or less artificial scarcity of light sabers assures that few soldiers have these advantages, quite apart from the Jedi’s Force powers. Of course, Star Wars Stormtroopers can’t hit the broad side of a barn, either, nor do they use automatic weapons and explosives much.

In many ways, you can think of melee vs firepower as the difference between knife fights and automatic/semi-automatic gunfights. The movie Starship Troopers just ignores tanks and aircraft in order to provide a more visceral melee-like experience as troops fight monsters at short range and hand-to-hand. “Let’s ignore our invulnerable stuff and only bring a knife to the knife fight.” Duh. I think of E. R. Burroughs’ Barsoom stories, where many melees took place in a land with very long-range rifles and explosive bullets, because of “honor” - it was dishonorable to escalate a swordfight to a gunfight. This is one way that an author or designer can compensate for firepower: just don’t use it (except for ship-to-ship combat).

Back to fantasy. What about archery? Standard archery is much closer to melee than firepower, owing to short range, slow action (crossbows), and ammunition limitations. When English longbowmen dominated battles in the Hundred Years War*, they used a weapon that could be fired rapidly by skilled archers, yet use a large supply of ammunition because England was mobilized to mass produce (and transport) arrows. After the development of muskets, longbows would still have been a better weapon given skilled archers and a massive supply of arrows; but musket ammunition was far more compact and easily produced, and it was far easier to train a man to fire a musket adequately, than to fire a longbow rapidly.

Where fantasy moves into the realms of firepower is magic-users using fireballs, lightning bolts, and similar area effect damage spells. Which may help us understand why spellcasters can be the “ace in the hole” and can dominate a battle. Dragon fire may have similar effects.

In other words, there’s rarely a pure melee or pure firepower skirmish situation in games. Yet the higher you move on the spectrum from tactical to strategic, the more Lanchester’s Linear and Square Laws take effect, even though his mathematics only applied to a specific kind of battle. I have simplified the specific circumstances of the Laws for this short piece. You can get more detail from the Wikipedia article cited above.

I’m sure readers can provide many other examples of ways authors and designers have returned science fiction skirmishes to melee parameters.

*Reference: Bernard Cornwell’s excellent historical novels about the battles of Crecy and Agincourt. The protagonist is an English longbowman.

### Lewis Pulsipher

Dragon, White Dwarf, Fiend Folio

#### Arnwolf666

Pistols 1d6 rifles 1d10. They work fine in my game.

#### John Dallman

##### Hero
I got interested enough to buy and read Marshall's Men Against Fire. It's a horrible book to base any planning or game design on because it is so muddled. It presents itself as being based on extensive research with clear results, yet it does not describe those results with any clarity. It has patches of what seem like good sense, sometimes on the same page as utter nonsense. I suspect that many of the people who were supposed to have read it gave up after a couple of chapters, and just generalised the ideas from the first part of the book.

In those first few chapters, Marshall describes one scenario clearly. I think this is the only time he does so. It's worth describing.

A green infantry company is making an unsupported frontal attack on an opponent who is well dug in and concealed. The company advances some distance, then comes under effective fire. The men go to ground, as they must. And then nobody takes charge. Nobody starts calling orders or asking questions; the troops are not given orders, reminders or any encouragement. About 25% use their weapons.

Actually, that seems a fairly good performance, under the circumstances, by the men but a terrible one by the NCOs and officers. I seem to be working across a cultural familiarity gap here, because Marshall explicitly says it is not the job of squad leaders to get their men organised.

Since they should be near their men, and know them well, it seems to me (and it's traditional British doctrine) that the NCOs, who have some experience, have the primary job under these circumstances of getting the men organised, encouraging the ones who are new to this and scared, and telling the ones who haven't figured it out where to shoot. With that done, the squad leader needs to shout to his platoon commander, with word of losses and what's being done.

But Marshall reckons the squad NCO should not be doing any of this, but should be concentrating on using his personal weapon. If that's the case, why has he been given his leadership position?

Marshall stresses the job of the company commander in getting all of these things to happen, while also worrying about his flanks and rear communications. He's not a superman. He can't control all of his men individually. He needs to use the chain of command. Yet Marshall seems to ignore this.

Marshall makes a kind of sense as a reaction to a problem that the US Army was suffering during WWII. Because it had been expanded so quickly, it had a serious shortage of NCOs who were experienced. New infantry units thus could not use NCO-based organisation, because the NCOs of the time weren't capable of doing that job. The culture of the US Army stressed confidence and its own superiority. It reckoned before Operation Torch that its newly-raised units were superior to experienced German ones.

Under those circumstances, the actual performance of the Army required an explanation. Telling the high command that it was a result of human nature would have been far more acceptable than acknowledging it was an effect of over-rapid expansion.

#### DWChancellor

##### Kobold Enthusiast
I don't accept this whole premise. Why would it need to be very different? And why must it probably be less satisfying for the players?

I don't see much of a difference at all between melee weapons versus guns in an RPG. The only minor difference I see, is in battle tactics (taking cover and reloading becomes more important) and damage (presuming guns do a lot more damage than swords, which need not even be the case).

The design of combat space is pretty different and tends towards larger environments the more "modern" or "sci-fi" gear is available.

I think it is worth mentioning that designing dungeons that players find "fun" and motivating is pretty easy. See the anti-fortress discussion of Celebrim above. As DM Against the Giants bothers the hell out of me b/c it makes no sense. But my group of players had a great time.

#### GMMichael

##### Guide of Modos
A designer of a science fiction RPG faces a problem; firepower-based combat must be very different from melee combat, and probably less satisfying for the players. What can the author/designer do to solve this problem plausibly?
Well it's a good thing @Morrus found his way into the thread. Insights, sir?

@Celebrim, that sounds spot-on. How does it apply to fantasy and sci-fi RPGs, though?

The issue, though, sounds like a wargaming problem to me. I'm not going to keep track of any enemy NPCs in excess of twice the number of PCs (in a fantasy or sci-fi RPG). The excess NPCs just become setting/environment at that point.

#### dragoner

##### KosmicRPG.com
Classic Traveller is very much war game "fire and movement" which does seem to be less than satisfying for many players. When they try to just charge into a situation, their character dies in a hail of gunfire, and often they don't understand why that happens. However, Marc W Miller is a Vietnam veteran, so I suppose he intended it that way, to be accurate for what people knew of combat in 1977.

#### Morrus

##### Well, that was fun
Staff member
Well it's a good thing @Morrus found his way into the thread. Insights, sir?

For me - and note D&D does not accomodate this well - for firearms and the like you need to incorporate cover, positioning, overwatches, and so on. Give it some elements of a chess game as combatants try to outmaneuver each other. I strongly dislike attempts to give firearms ridiculous amounts of damage; they shouldn't be much different from a sword. A solid hit from either will finish you in real life; in a game it'll probably graze you or whatever until the shot/blow which takes you down.

That's just my preference though. Other people will feel differently, which is fine.

#### DWChancellor

##### Kobold Enthusiast
A solid hit from either will finish you in real life; in a game it'll probably graze you or whatever until the shot/blow which takes you down.

That's just my preference though. Other people will feel differently, which is fine.

This gets to flavoring HP. Players always like the think of HP as literal "health" like the Doom guy's picture getting wounded as it runs out. Then you use bandages, and hey presto, no more bleeding wounds!

I'm with Morrus, I much prefer the 5E style of HP as "stamina" where you are running down and getting sloppier. A high level character is more alert, has better instincts, and superior situational awareness to avoid being genuinely injured. This is why you heal to full with resting.

Okay okay, some gamey-business going on, but it makes sense. It also makes balancing "damage" of modern weapons versus melee since it isn't the 1:1 physical effect of being bashed.

#### Morrus

##### Well, that was fun
Staff member
I'm with Morrus, I much prefer the 5E style of HP as "stamina" where you are running down and getting sloppier. A high level character is more alert, has better instincts, and superior situational awareness to avoid being genuinely injured. This is why you heal to full with resting.

Okay okay, some gamey-business going on, but it makes sense. It also makes balancing "damage" of modern weapons versus melee since it isn't the 1:1 physical effect of being bashed.

That wasn't my position at all (not that I disagree).

What I meant was that being skewered with a sword through the eye doesn't do any less damage to you than being shot in the same place. Both are fatal. Getting beheaded with an axe is not less damaging than being shot in the leg with a revolver. The benefit of the gun is that it makes it much easier to deliver that damage.

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#### Sacrosanct

##### Legend
An ancedotal bit - I was talking to a not-closely related relative at a family gathering who was in the armed forces at the time and had been deployed overseas. He mentioned that boot camp teaches them how to attack, but doesn't teach them how to kill people. That not being able to pull the trigger and kill a human in their sights was a big problem.

Take it for what it's worth, but it's the only bit I've personally experienced one either side of the question.

No offense to your relative, but they are mistaken. We were taught, extensively, how to kill. not just a focus on center mass with firearms, but even with unarmed combat training it was around disabling/killing your opponent as quickly as possible.

Also, on a related note, I'm not sure where this aversion to kill idea comes from, exactly. I mean, I can see it if you're shooting at someone who is just standing there and/or doesn't know you're shooting them. But in a firefight? I'm here to tell you there is no general hesitation to shoot back. In chaotic situations like that, you rely on training and muscle memory, and don't devote time to morality of what it means to shoot another person. Additionally, this aversion effect is probably lessened because you're also drilled to dehumanize your opponent. They aren't really people. They are the enemy, worth less than you. Not men or women, but any racist name you can think of; animals out to kill you first.

Well it's a good thing @Morrus found his way into the thread. Insights, sir?

@Celebrim, that sounds spot-on. How does it apply to fantasy and sci-fi RPGs, though?

The issue, though, sounds like a wargaming problem to me. I'm not going to keep track of any enemy NPCs in excess of twice the number of PCs (in a fantasy or sci-fi RPG). The excess NPCs just become setting/environment at that point.

I'm not Morrus obviously, but I have designed several games, including sci-fi games. For games that are almost exclusively firearms (or derivative thereof), there are some changes I've done, but mostly to account for range and rof (affecting speed of combat rounds). I've done systems that have focused on more realistic scenarios to account for ballistics, etc, but I'll be honest. That overloads the system with formulas and math, and that's just not fun for most people. Therefore, IME, you can easily handle a sci fi system the same as you do a fantasy system.

As Morrus said upthread, there's this myth we have as gamers to make guns more lethal by comparison than swords, and that's not really as true as people assume. We look at what a 9mm FMJ round does to a clay block and compare that damage to the damage of driving a knife inside it and make that assumption. Fair, but a bit misplaced. There are people who have survived two dozen knife wounds, and people who have survived over a dozen bullet wounds. And there are people who died from one knife wound and people who have died from one bullet wound. There are so many factors, it's just easier to treat them pretty close to the same (just assign a reasonable damage value of the weapon).

#### Morrus

##### Well, that was fun
Staff member
As Morrus said upthread, there's this myth we have as gamers to make guns more lethal by comparison than swords, and that's not really as true as people assume. We look at what a 9mm FMJ round does to a clay block and compare that damage to the damage of driving a knife inside it and make that assumption. Fair, but a bit misplaced. There are people who have survived two dozen knife wounds, and people who have survived over a dozen bullet wounds. And there are people who died from one knife wound and people who have died from one bullet wound. There are so many factors, it's just easier to treat them pretty close to the same (just assign a reasonable damage value of the weapon).

Indeed. Anne Boleyn would argue it's pretty easy to die from one sword blow!

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