After taking account of comments here and on the Paizo messageboards, I have adapted my simulation programs to allow for purposive attribute scores, feats and races, and re-analyzed the survival data for a smaller sample of more carefully designed fighters. In this second round of analyses Gruumsh the Bastard doesn’t acquit himself well, but neither do some of the PCs who went against him. This post reports on the updated analyses.
Update (3rd July 2012): In editing my code to incorporate some minor changes, I noticed that I didn’t actually pit 100,000 fighters against 100,000 randomly-generated orcs – I pitted 100,000 fighters against Gruumsh, who only has 6 hit points. Against a full range of Orcs one gets very different results – I will report on this today (3rd July 2012). This post has been edited to remove references to 100,000 randomly-generated orcs.
Previous analyses of survival in Pathfinder have relied on randomly generated ability scores assigned in order, and have not incorporated feats, race, fighting styles or weapon types. In this post the analyses are updated to allow for a range of basic feats, four races, purposive rather than completely random assignment of ability scores, and three types of fighter: strong, fast and tough. Survival is compared against Gruumsh again, and results analyzed for insights into possible character creation decisions.
A sample of 100,000 randomly generated fighters were pitted in battle against Gruumsh, who is still not ferocious. The fighters were generated so as to fall into three types, defined by ability scores, armour and weapon types, and feat choices:
- Strong fighters: strength was determined randomly from a uniform distribution between 13 and 18, and the fighters were equipped with scale mail and a two-handed sword. Human fighters had three feats: power attack, weapon focus and desperate battler. Humans placed their +2 ability score bonus in strength. Non-human fighters dropped power attack
- Fast fighters: dexterity was determined randomly from a uniform distribution between 13 and 18, and the fighters were equipped with studded leather armour, a heavy wooden shield and a rapier. Human fighters had three feats: improved initiative, dodge and weapon finesse. Non-humans dropped weapon finesse, and humans put their +2 bonus into dexterity.
- Tough fighters: constitution was determined randomly from a uniform distribution between 13 and 18, and the fighters were equipped with chain shirt, wooden shield and longsword. Human fighters had three feats: toughness, shield focus and weapon focus. Non-humans dropped toughness (because two of the races already had +2 constitution), and humans put their +2 bonus into constitution.
All other physical stats were generated with 3d6, but scores below 9 were reset to 9. Mental stats were generated using 3d6 in order, but nobody cares if their meat shield has read Shakespeare, so the details aren’t reported here. The hapless 100,000 were then thrown against Gruumsh, with the promise that anyone who survived would get to meet Salma Hayek. Needless to say, I lied: for unknown reasons, Hayek only dates bards. All fighters with power attack were assumed to be using it for every strike, and you would too if you met Gruumsh.
After incorporating racial bonuses and feats, and assigning ability scores purposively rather than randomly, overall survival increased significantly: only 20% of the newly trained fighters died. However, variation in survival was significant and depended heavily on race and fighting style. Table 1 shows the mortality rates by race and fighter types.
From Table 1 it is clear that elves and halflings are not good fighters, and Dwarves are excellent in this particular role. The small difference in mortality between humans and dwarves is probably due to the reduced number of feats that dwarves have relative to humans. In fact, once feats and purposive ability score selection are included in character development, constitution becomes an extremely important score: 0% of fighters with constitution bonuses above 3 died. This is probably because CON bonuses of 3 or more guarantee a fighter cannot be killed in a single blow by an Orc (maximum damage 12) and the increased damage and hit stats of these fighters mean the orc will not survive to deliver a second blow. This is indisputably a good thing.
It is clear from table 1 that the least successful form of fighter is the fast fighter, and indeed some perverse results obtain. Figure 1 shows the mortality rate by dexterity score: mortality increases with increasing dexterity in this dataset. This is probably because higher dexterity scores are more likely in the “fast fighter” choice, and amongst halflings, both of which deliver less damage than other races and class types.
A similar perverse result is visible with armour class. Figure 2 shows the relationship between mortality and armour class, which is positive.
Again, it is likely that the highest armour class values are only achieved by halflings (who have size bonuses), and higher AC is associated with lower damage and attack values. Note that fast fighters have very high initiative values (up to +9!) but these don’t seem to say the battle: for fighters who start with a minimum of 8 hit points, starting the battle first is less important than being able to hit your opponent and do massive amounts of damage.
Dexterity is useless, and a fighting style based on light armour and fast weapons is a waste of time. As a result, weapon finesse is the ultimate wasted feat: it could have been used to get 3 more hit points, which for a first level fighter guarantees that one strike from an Orc will not be fatal. After incorporating feats, the best option for a first level fighter is to choose toughness, shield focus and weapon focus, and pour as many points as possible into constitution. 17 hit points, chain armour and a shield at first level are vastly more useful than a fancy fighting style and a leather skirt!