Crusader Kings 3: Courtier & Vassal Trait Optimization Guide

Crusader Kings III: Courtier & Vassal Trait Optimization Guide

Version 1.19.0.6 "Scribe" (confirmed current as of this revision)
Revised against ck3.paradoxwikis.com (self-identifies as verified for 1.19) and official 1.19.0.4–1.19.0.6 changelogs


Corrections Applied Across Revisions

Round 1 fixes (trait-system accuracy):

  • Education traits vs. Lifestyle traits are different systems. Education traits (tiers 1–5) come from childhood education. Lifestyle traits (e.g., Scholar, Theologian, Administrator, Diplomat, Gallant, Strategist) come from completing an adult lifestyle perk tree. I had incorrectly listed "Scholar" as a Learning education trait — it's actually a Learning lifestyle trait. Both are labeled explicitly below.
  • Added the 5th education tier for all five skills (unlocked via the Legitimacy dynasty legacy or an Education Hall building), which the prior draft omitted.
  • Removed fabricated personality traits that don't exist in CK3 (Bold, Confident, Clever, Loyal, Coward, Charming, Devoted, Pious, Cruel, Skeptical, Naive, Profligate, Improvident) and replaced them with the correct real traits where an equivalent exists (e.g., Coward → Craven, Bold → Brave).
  • Corrected "Physically Strong" to the actual congenital trait names: Herculean (male) / Amazonian (female).
  • Removed numeric court-position aptitude formulas that traced back to a community rebalance mod rather than vanilla game data.

Round 2 fixes (currency check against 1.19.0.6 and DLC verification):

  • Confirmed 1.19.0.6 is the current patch (released May 25, 2026) and is a small bugfix update (restored epidemic/disaster lethality to intended values, fixed manual scheme-agent invitation) — it does not alter any trait, council, or vassal mechanics covered in this guide, so the 1.19-verified content above remains current.
  • Removed an unverified DLC attribution. I had credited the vassal stance system to Friends & Foes — that DLC is real, but I have no source confirming it's where stances came from, so I've removed the claim rather than let an unverified attribution stand.
  • Corrected the vassal stance count. There are six stances (Courtly, Zealot, Parochial, Glory Hound, Minority, Minor Landholder), not four — Minority and Minor Landholder were missing.
  • Replaced approximate stance/trait pairings with sourced ones, pulled directly from current trait-effect data rather than general impressions.

Council Positions

The Five Primary Council Roles

Note: Primary skill (Diplomacy, Martial, Stewardship, Intrigue, Learning) is the dominant factor for task success. Traits below are supporting modifiers, not guaranteed formulas — Paradox has not published exact council-task aptitude math.

Chancellor (Diplomacy Primary)

  • Optimal Education: Grey Eminence (Diplomacy education, tier 4)
    • Alternatives: Charismatic Negotiator (tier 3), Adequate Bargainer (tier 2), Virtuoso Arbitrator (tier 5 — requires Legitimacy dynasty legacy or Education Hall)
  • Personality Traits:
    • Priority: Gregarious, Honest, Trusting
    • Support: Patient, Calm, Humble
  • Lifestyle Trait Bonus (if present): Diplomat, August, Family Hierarch (Diplomacy lifestyle keystones)
  • Avoid: Shy, Arbitrary, Cynical
  • Tasks: Foreign Affairs, Domestic Affairs, Integrate Title, Bestow Royal Favor (Royal Court)
  • Loyalty Check: High opinion of you; Ambitious characters actively dislike their liege (−15 opinion of liege, per trait data)

Marshal (Martial Primary)

  • Optimal Education: Brilliant Strategist (Martial education, tier 4)
    • Alternatives: Skilled Tactician (tier 3), Tough Soldier (tier 2), Exalted Warlord (tier 5)
  • Personality Traits:
    • Priority: Brave, Diligent
    • Support: Zealous (if faith-aligned; grants +2 Martial)
  • Lifestyle Trait Bonus (if present): Strategist, Overseer, Gallant (Martial lifestyle keystones)
  • Avoid: Craven (−2 Martial, −3 Prowess — directly undermines the role)
  • Note: Both Martial and Prowess matter for this role; Brave grants +2 Martial and +3 Prowess simultaneously, making it the single best personality trait for a Marshal
  • Tasks: Increase Control in County, Train Commanders, Organize Army, Manage Royal Guards (Royal Court)

Steward (Stewardship Primary)

  • Optimal Education: Midas Touched (Stewardship education, tier 4)
    • Alternatives: Fortune Builder (tier 3), Thrifty Clerk (tier 2), Golden Sovereign (tier 5)
  • Personality Traits:
    • Priority: Diligent (+3 Stewardship), Content, Stubborn (+3 Stewardship, though it costs −5 opinion of liege)
    • Support: Honest, Patient, Humble
  • Lifestyle Trait Bonus (if present): Administrator, Avaricious, Architect (Stewardship lifestyle keystones)
  • Avoid: Gluttonous (−2 Stewardship), Lazy (−1 to all skills), Greedy (creates constant demands despite the income bonus)
  • Tasks: Raise Levies, Collect Taxes, Promote Culture, Organize Levies

Spymaster (Intrigue Primary)

  • Optimal Education: Elusive Shadow (Intrigue education, tier 4)
    • Alternatives: Intricate Webweaver (tier 3), Flamboyant Trickster (tier 2), Conniving Puppetmaster (tier 5)
  • Personality Traits:
    • Priority: Calm (+1 Intrigue, +10% stress loss, +50% dread decay)
    • Strong: Paranoid (+3 Intrigue, though costs +100% stress gain), Deceitful (+4 Intrigue), Craven (+2 Intrigue — this trait is a liability for a Marshal but an asset for a Spymaster)
  • Lifestyle Trait Bonus (if present): Schemer, Seducer, Torturer (Intrigue lifestyle keystones)
  • Avoid: Trusting (−2 Intrigue; also gives potential agents a Strong Hook against you, per trait data — genuinely risky for this specific role)
  • Critical Loyalty Requirement: This is the one council position where disloyalty carries catastrophic risk (murder schemes against you). There is no dedicated "Loyal" trait in CK3 — loyalty has to be built from a combination of:
    • Existing hooks in your favor
    • High personal opinion (+50 minimum), reinforced by Content and Trusting
    • Friendship/lovers bond
  • Tasks: Find Schemes, Blackmail, Create Hooks, Murder Schemes, Sabotage Schemes

Court Chaplain / Realm Priest (Learning Primary)

  • Optimal Education: Mastermind Philosopher (Learning education, tier 4)
    • Alternatives: Astute Intellectual (tier 3), Insightful Thinker (tier 2), Erudite Oracle (tier 5)
  • Personality Traits:
    • Priority: Zealous (+20% monthly piety), Calm, Patient
  • Lifestyle Trait Bonus (if present): Scholar, Theologian, Whole of Body (Learning lifestyle keystones) — Theologian in particular suits this role thematically
  • Avoid: Cynical (−20% monthly piety, −20% faith conversion cost — directly works against a piety-focused role)
  • Governance Note: Appointment depends on faith doctrine:
    • Lay Clergy doctrine: appointed as Court Chaplain (no special mechanics)
    • Other doctrines: appointed as Realm Priest (manages temple holdings/piety)
    • Character restrictions: must share the liege's faith; Excommunicated characters cannot serve if the faith has the Communion tenet, unless the liege is also Excommunicated

Other Court Appointments

Paradox has not published exact aptitude formulas for court positions, so treat the trait guidance below as directional (which skill and traits help), not as guaranteed point totals. A prior version of this guide cited specific numeric formulas that turned out to trace back to a community rebalance mod rather than vanilla data — that numeric detail has been removed.

Court Physician (Learning-Driven)

  • Helps: High Learning, Genius (congenital), the Herbalist trait if present, and the Scholar/Theologian/Whole of Body lifestyle traits
  • Liege-Side Bonus: A liege with 15+ Learning, or with the Scholar, Theologian, or Whole of Body lifestyle trait, unlocks recruitment options for higher-aptitude physician candidates
  • Function: Treats illness/injury in your court; a well-suited physician meaningfully affects treatment success odds
  • Salary: Notably cheap relative to other court positions

Antiquarian (Learning-Driven; Royal Court)

  • Helps: High Learning, Genius, Shy (this is one of the few roles where Shy is an asset rather than a liability), Administrator lifestyle trait, and having completed an Inspiration
  • Function: Speeds artifact discovery; stacks with your own Learning-lifestyle progress

Caravan Master (Stewardship/Martial Hybrid; Roads to Power / Tours & Tournaments travel system)

  • Helps: Balanced Stewardship and Martial, Diligent, Administrator
  • Function: Speeds travel for armies and personal journeys; reduces road danger; increases army supply limits
  • Priority Tier: High if you travel or campaign often — this affects logistics meaningfully

Foreign Emissary / Ambassador (Diplomacy-Driven; Roads to Power)

  • Helps: High Diplomacy, Gregarious, Honest, and the Diplomat lifestyle trait
  • Function: Improves relations with a target foreign court

Master of the Hunt (Prowess-Driven)

  • Helps: High Prowess, Brave, Gallant lifestyle trait
  • Function: Improves hunting activity outcomes; hunting itself reduces stress for participants

Personal Bodyguard / Champion (Prowess-Driven)

  • Helps: High Prowess, Herculean/Amazonian (congenital), Brave, Gallant lifestyle trait
  • Function: Personal protection against assassination; relevant to duel outcomes if you fight personally
  • Anti-Pattern: Characters recruited via the "Find Knights" decision are frequently reported by the community as poor long-term courtiers despite high Prowess — vet them before committing to a permanent role

Court Gardener (Stewardship-Driven; Royal Court)

  • Helps: Diligent, Administrator, Patient, Content
  • Function: Increases monthly prestige and boosts Garden building effectiveness
  • 1.19 Change: Court Gardener's aptitude bonus to the Garden building was increased from +15 to +30

Chief Eunuch (Stewardship variant)

  • Helps: Administrator, Diligent, Patient
  • Note: Restricted to specific cultures/governments (primarily Islamic and Persian-influenced courts)

Siege Engineer (Martial-Driven)

  • Helps: Martial and Stewardship, Strategist lifestyle trait, Administrator, Diligent
  • Function: Increases siege speed; reduces siege casualties

Guardian & Tutor Selection (Heir Education)

Critical Rule: Never let AI guardians raise your primary heir. Manual selection matters more than almost any other single decision for realm stability.

Primary Heir Guardian Strategy

Selection Priority (in order):

  1. You (the ruler) — if your relevant skill is 10+
  2. Trusted family member — sibling or uncle with high opinion of you
  3. High-skill courtier — with Genius/Intelligent and a matching education specialty

Education Trait Matching:

  • Match the guardian's education focus to the heir's childhood trait early
    • Born Tactician → Martial-focused guardian
    • Cynical → Intrigue-focused guardian
    • Curious → Learning-focused guardian
  • The heir's own education outcome (tier 1–5) is affected by which lifestyle the guardian steers them toward

Congenital Traits in Guardian:

  • Genius — the top-tier Intelligence congenital trait; adds meaningfully to all of the guardian's stats
  • Intelligent — the second-tier Intelligence congenital trait
  • Comely/Pretty/Beautiful (the Appearance congenital chain) — minor bonuses, helps heir opinion
  • Avoid: Slow or Stupid (negative Intelligence congenital tiers)

Personality Traits:

  • Diligent, Patient, Honest, Humble
  • Avoid: Lazy, Impatient, Sadistic, Callous

Post-Age-16 Considerations:
Once your heir reaches adulthood, start planning their heir's guardian early. A second-generation Genius with a Golden Sovereign (tier 5 Stewardship) education becomes a serious realm-building asset.


Vassal Trait Optimization

Vassal Opinion Foundation Traits

These traits create automatic, verified opinion bonuses toward a liege, per current trait data.

Must-Have (Priority 1):

  • Content — +20 opinion of liege, +10 opinion of vassals
  • Trusting — +15 opinion of liege, +15 opinion of vassals (trade-off: also raises the initial success chance of hostile schemes against them, since they're easier to deceive)
  • Honest — no direct liege-opinion bonus, but +10 same-trait opinion and reliably signals low scheming risk (−4 Intrigue)

Strong Additions (Priority 2):

  • Humble — +10 opinion of liege, +10 opinion of vassals, +10 clergy opinion
  • Gregarious — +5 courtly-stance vassal opinion; improves general sociability in your court
  • Patient — +5 liege opinion, no real downside

Avoid Entirely:

  • Ambitious — −15 opinion of liege; explicitly increases stress from being denied titles/vassal independence
  • Arrogant — −5 opinion of liege, −5 opinion of vassals
  • Greedy — −15 courtly-stance vassal opinion; the income bonus doesn't offset the relationship cost
  • Impatient — −5 opinion of liege

Vassal Competence Layers

Economy-Focused Vassals (County/City Holders)

  • Primary Trait Stack: Diligent (+3 Stewardship) + Content + Honest
  • Skill Floor: Stewardship 15+
  • Function: A well-developed county capital under a competent, high-Stewardship vassal generates meaningfully more tax income than a neglected one held directly by you
  • Avoid: Gluttonous, Lazy, Impatient

Military-Expansion Vassals (Duchy Holders / Multi-County)

  • Primary Trait Stack: Brave (+2 Martial, +3 Prowess) + Honest
  • Skill Floor: Martial 16+, Prowess 13+
  • Function: Give them 2–3 counties and let them expand your realm through conquest with minimal micromanagement
  • Caveat: Martial-flavored vassals often skew Ambitious; manage with prestige rewards and occasional council positions
  • Avoid: Craven (undermines the entire point of a military vassal)

Loyalty-Critical Vassals (Powerful/Dangerous)

  • Primary Trait Stack: Content + Trusting
  • Skill Floor: Any single stat of 18+ typically triggers the game's "powerful vassal" flag
  • Function: Reduces rebellion risk even when opinion dips temporarily
  • Reinforcement: Feast-based Reveler chains (below) and periodic sway schemes to keep opinion above +50
  • Note: There is no discrete "Loyal" trait in CK3 — treat the Content + Trusting + high opinion + hooks combination as the practical substitute

Vassal Stance Synergy

Correction: A prior version of this guide attributed the vassal stance system to the Friends & Foes DLC. That DLC is real (an event pack from 2022 focused on friendships, rivals, and childhood memories), but I cannot verify it's actually the source of the stance mechanic, and vassal stances are discussed in community material predating some of the DLCs in your library — this is very likely a base-game/free-patch system available regardless of which flavor packs you own. I've removed the DLC attribution rather than assert one I can't confirm.

There are six vassal stances, not four — the earlier version of this guide omitted Minority and Minor Landholder. Trait-to-stance opinion bonuses below are pulled directly from current trait data:

  • Courtly — liked by Generous (+15), Gregarious (+5), Honest (+5), Compassionate (+10); disliked by Greedy (−15), Craven (−5), Wrathful (−10), Temperate (−10), Impatient (−10), Callous (−10), Sadistic (−10), Stubborn (−10). Prefers heirs skilled in Diplomacy.
  • Zealot — liked by Humble (+10), Zealous (+15); disliked by Cynical (−15). Prefers heirs skilled in Learning.
  • Parochial — liked by Content (+10), Diligent (+5), Shy (+10), Just (+15), Patient (+10); disliked by Wrathful (−10), Impatient (−10), Stubborn (−10). Prefers heirs skilled in Stewardship.
  • Glory Hound — liked by Brave (+10), Ambitious (+10), Wrathful (+5); disliked by Craven (−15). Prefers heirs skilled in Martial; enjoys Great Tournaments (Tours and Tournaments) and offensive wars; dislikes high Crown Authority.
  • Minority — liked by Just (+15), Compassionate (+15), Forgiving (+15); disliked by Stubborn (−5).
  • Minor Landholder — reacts most strongly and negatively to high Crown Authority of the six stances; specific trait bonuses aren't confirmed in the sources checked for this guide, so treat that detail as unverified rather than take my word for it.

For a manageable roster, aim mostly Courtly/Parochial/Zealot, with a smaller deliberate share of Glory Hound vassals for military expansion — Glory Hounds are powerful in war but demand council positions and dislike high Crown Authority, so they scale poorly if you're centralizing power.

Vassal Inheritance Prevention & Succession

  • Monastic Commitment — if your faith has the Monasticism tenet, characters age 9+ can be asked to take vows, disqualifying them from inheritance
  • Matrilineal Marriage — marrying a younger sibling-vassal into a foreign matrilineal contract moves their children's inheritance outside your line
  • Avoid Cascading Legitimacy Loss — repeated illegitimate succession erodes realm stability over generations; keep vassal marriages formally recognized if you're planning a long dynasty

Dynasty Member Optimization (Siblings / Close Family)

Heir Education (Successor to Your Ruler)

1.19 Change: Domain limit is now granted by Education trait tier rather than Stewardship skill directly. Concretely, per the current education trait table: tier 1 education gives −1 domain limit, tier 3 gives +1, tier 4 gives +2, and tier 5 gives +3. An heir with only a tier 1 or 2 education will struggle to hold multiple personal counties regardless of their raw Stewardship stat.

  • If holding several personal counties as future ruler: prioritize a tier 4+ education in whichever skill matches your governing style — Stewardship (Midas Touched/Golden Sovereign) is the traditional default, but any tier 4–5 education now grants meaningful domain limit
  • If pursuing military conquest: Brilliant Strategist/Exalted Warlord (Martial) lets a personally-fighting heir also hold a reasonable domain
  • Early game: domain limit scarcity usually favors a Stewardship-leaning education; this matters less once Crown Authority is High/Absolute and you rely more on vassals than personal domain

Congenital Breeding Strategy:

  • Marry the heir's spouse into the highest-Genius bloodline available
  • Prioritize Herculean/Amazonian (Physique) for physical durability, Genius (Intelligence) for all-around competence
  • The Blood Legacy dynasty perk track improves the odds of inheriting positive congenital traits

Spouse Selection (Primary Partner)

Early Game (Years 0–30):

  • Prioritize alliance strength over genetics — a powerful ally blocking two rivals outweighs a genetically superior child two decades away

Established Realm (Years 30+):

  • Shift toward congenital breeding: Genius, Herculean/Amazonian, Beautiful/Comely

Personal Traits to Seek:

  • Fecund (congenital; +50% fertility, +5 years fertility window, +5 years life expectancy)
  • Attraction-boosting Appearance-chain traits matching your culture's preferences
  • Avoid: Infertile/Sterile (congenital), Excommunicated, or personality traits that clash with your own (e.g., a Cynical spouse if you're Zealous generates a −10 opposite-trait opinion penalty)

Spouse as Councilor:

  • Your primary spouse commonly occupies the council's spouse slot
  • If they have strong Stewardship/Diplomacy, leverage it; if not, don't force the fit purely for the mechanical bonus — their opinion of you matters more than the skill contribution

Younger Siblings (Secondary Heirs / Vassal Candidates)

Liability Management:

  • Give titles or careers early; an unlanded younger sibling with a plausible succession claim is a standing hazard
  • Monastic commitment (where your faith allows) removes them from succession while granting an opinion boost
  • Matrilineal marriage externalizes their line entirely

Vassal Role Optimization — Example 3-Sibling Roster:

Sibling #1 (Economy/Tax Role):

  • Traits: Content, Diligent, Honest
  • Skills: Stewardship 15+, Martial 8+
  • Holdings: 1–2 wealthy counties
  • Function: Primary tax generator

Sibling #2 (Military/Expansion):

  • Traits: Brave, Honest, Trusting
  • Skills: Martial 16+, Prowess 13+
  • Holdings: 2–3 counties
  • Function: Conquest engine; low micromanagement needed

Sibling #3 (Insurance Candidate):

  • Traits: Calm, Patient, Content, Trusting
  • Skills: Intrigue 12+, Stewardship 10+
  • Holdings: single county or a court position
  • Function: available as a high-opinion sway target or emergency councilor if another vassal turns disloyal

Avoid Combinations:

  • Ambitious + Craven + Deceitful (low opinion of you, unreliable in war, easy to deceive but hard to trust)
  • Greedy + Arrogant + Impatient (constant relationship drain with no compensating strength)

Cross-Cutting Principles

Loyalty Over Raw Competence

A highly-skilled but disliked councilor or vassal will actively work against you (schemes, faction membership, poor task outcomes from negative-event rolls). A merely adequate appointee with strong opinion will usually outperform them over time. Rough floors to target:

  • Primary Stat Floor: 10+ for council appointments; 15+ for vassal county-holders
  • Opinion Floor: +50 for most appointed positions; higher for the Spymaster specifically, given the stakes of disloyalty in that seat

Dread vs. Opinion Control Routes

  • Opinion Route: built from Content, Trusting, Honest, and regular feasts/gifts — works best with Courtly/Parochial/Zealot-stance vassals, and is sustainable long-term
  • Dread Route: built from Arbitrary, Wrathful, Sadistic traits on your own character, reinforced by visible executions — compels even Glory Hound vassals, but at the cost of long-term stability
  • Blend: many experienced players keep opinion high with vassals they want as genuine allies while maintaining enough dread that the rest are too afraid to move

Feast & Reveler Chain Management

Feasts grant a temporary opinion boost to attendees and a chance for both host and guests to gain the leveled Reveler trait. Once you and a vassal share Reveler, their opinion of you improves permanently. Hosting feasts periodically builds a cascading opinion effect across a realm with many attendees.

Personality Trait Alignment with Your Own Character

Same-trait and opposite-trait opinion modifiers are real and significant (typically ±10–20 opinion per the trait data above). If you're Zealous, Zealous vassals like you more and Cynical vassals like you less, and vice versa. Matching vassal personality to your own is a low-effort way to bank free opinion across your realm.

Knights vs. Councilors

High-Prowess characters (Brave, Herculean/Amazonian) generally make better knights than councilors — martial excellence doesn't translate into administrative competence. Let them serve your military strength directly rather than forcing them into council seats they're poorly suited for.


Summary Table: Quick Reference by Role

Role Primary Stat Tier 4 Education Top Personality Traits Opinion Floor
Chancellor Diplomacy Grey Eminence Gregarious, Honest, Trusting +50
Marshal Martial Brilliant Strategist Brave, Diligent +40
Steward Stewardship Midas Touched Diligent, Content, Honest +50
Spymaster Intrigue Elusive Shadow Calm, Paranoid, Trusting (avoid) +75
Chaplain Learning Mastermind Philosopher Zealous, Calm, Patient +50
Physician Learning Mastermind Philosopher Genius, Herbalist +30
Vassal (County) Stewardship Midas Touched Content, Diligent, Honest +50
Vassal (Duchy) Martial Brilliant Strategist Brave, Honest +40
Heir Guardian Matching Education Tier 3+ Match Genius, Diligent, Patient Self +100% (guardian selection is manual, not opinion-gated)

Education trait tier legend: 1 = base education outcome, 2–3 = intermediate, 4 = "excellent" (standard cap), 5 = requires Legitimacy dynasty legacy or Education Hall building.


Version Notes

1.19 "Scribe" Changes Affecting This Guide:

  • Domain limit is now granted by Education trait tier (−1 at tier 1, up to +3 at tier 5) rather than by Stewardship skill directly
  • Accolades restricted to Duke-tier rulers and above; automated successor assignment
  • Elder Traits introduced (Faltering Heart, Fragile Bones, Clouded Eyes, Withering Mind) as a tiered replacement for the old binary Infirm trait
  • Event frequency reduced; only characters of "major interest" generate recurring events
  • New Ledger system makes it easier to sort/find high-stat characters across the realm for recruitment purposes

Not Included (Chapter V DLC Only — confirmed not owned):

  • By God Alone religious mechanics
  • Silk & Silver merchant republic vassal types
  • Any associated court positions or theocracy-specific appointments introduced by those two expansions

Not Covered in Depth (owned, but outside this guide's scope):
Checking your DLC library against this guide surfaced a few government-specific appointment systems that are real, that you own, and that this document doesn't detail:

  • Administrative government (Roads to Power) — replaces the standard council with Departments (including a Diarch and an Imperial Censor as Spymaster-equivalent) and Ministries, as noted earlier in this conversation
  • Nomadic government (Khans of the Steppe) — uses a Kurultai council structure, distinct from the feudal five-seat council this guide focuses on
  • Chinese/Japanese/Southeast Asian regional systems (All Under Heaven) — Chinese Meritocracy/Imperial Examinations, Japanese Shogunate court structure, and Mandala/tributary systems each have their own appointment logic
  • Coronations (event pack, Chapter IV) — adds new councillor and vassal events tied to a ruler's coronation oath, which can interact with vassal opinion in ways this guide doesn't model

If your current or a future campaign uses any of these, say so and I'll research and add a dedicated section rather than guessing at mechanics I haven't verified.

Sourcing Note: Education trait names/tiers and personality trait effects in this revision are drawn directly from ck3.paradoxwikis.com's Traits page, which self-identifies as verified for version 1.19. Court position aptitude mechanics are described qualitatively because Paradox has not published exact formulas; treat any numeric aptitude claims you see elsewhere (including in the prior version of this document) with skepticism unless sourced to an official patch note or dev diary.



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