Aptos Society Scale

Trit: 0 (ERGODIC - coordinator) Domain: Compositional Game Theory × Blockchain Governance × Social Interaction Labs

Academic Foundations

Seth Frey (UC Davis, Ostrom Workshop)

• Composing Games into Complex Institutions (PLoS ONE 2023)
• Institutional preferences laboratory experiments
• Game-theoretic institutional design with Jules Hedges

Michael Zargham (BlockScience)

• Computer-Aided Governance - cadCAD simulation framework
• Token Engineering Academy foundations
• Cryptoeconomic mechanism design

Jules Hedges (Strathclyde)

• Open Games - categorical game theory
• String diagram representations for institutions
• Compositional approach to strategic interaction

GF(3) Triadic Skill Forcing

Every interaction MUST load exactly 3 skills with balanced trits:

MINUS (-1): Validator/Constrainer (cold hues 180-300°)
ERGODIC (0): Coordinator/Synthesizer (neutral hues 60-180°)  
PLUS (+1): Generator/Executor (warm hues 0-60°, 300-360°)

Conservation: Σ trits ≡ 0 (mod 3)

Aptos World Wallets (26 Letters)

Segment	Letters	Trit	Role
MINUS	A-I (9)	-1	Validators
ERGODIC	J-R (9)	0	Coordinators
PLUS	S-Z (8)	+1	Executors

MCP Tools

mcp__world_{letter}_aptos__aptos_balance
mcp__world_{letter}_aptos__aptos_transfer
mcp__world_{letter}_aptos__aptos_swap
mcp__world_{letter}_aptos__aptos_view

Derangement Protocol

For seed handoff between world segments:

1. XOR all addresses in segment → segment_seed
2. Maximum Hamming distance reordering
3. Sparsification for collision resistance

Babashka/NBB Integration

;; aptos_society.bb
(require '[babashka.process :refer [shell]])

(defn world-balance [letter]
  (let [tool (str "mcp__world_" letter "_aptos__aptos_balance")]
    {:world letter :tool tool}))

(defn triadic-worlds []
  {:minus (map world-balance "ABCDEFGHI")
   :ergodic (map world-balance "JKLMNOPQR")
   :plus (map world-balance "STUVWXYZ")})

Swift Sendable Semantics

// AptosWorld conforms to Sendable for actor isolation
actor AptosWorld: Sendable {
    let letter: Character
    let trit: Int  // -1, 0, +1
    
    func balance() async -> Decimal
    func transfer(to: Address, amount: Decimal) async throws
}

// Triadic dispatch
func dispatchTriad(_ minus: AptosWorld, _ ergodic: AptosWorld, _ plus: AptosWorld) async {
    assert(minus.trit + ergodic.trit + plus.trit == 0)  // GF(3) conservation
    await withTaskGroup(of: Void.self) { group in
        group.addTask { await minus.validate() }
        group.addTask { await ergodic.coordinate() }
        group.addTask { await plus.execute() }
    }
}

Ruler Enforcement

Add to

~/.ruler/AGENTS.md

:

## Triadic Skill Forcing (Aptos Society Scale)

**Rule**: Every interaction loads 3 skills with Σ trits = 0 (mod 3)

1. MINUS skill: validation, constraint checking
2. ERGODIC skill: coordination, synthesis  
3. PLUS skill: generation, execution

Verify: `(-1) + 0 + (+1) = 0 ✓`

References

• Frey et al. "Composing games into complex institutions" PLOS ONE 2023
• Zargham & Emmett "Computer-Aided Governance" BlockScience 2019
• Hedges "Towards compositional game theory" PhD Thesis 2016
• Ostrom "Understanding institutional diversity" Princeton 2005

NO PRIVATE INFORMATION

This skill contains NO private keys, wallet addresses, or secrets. All wallet interactions go through MCP tools with approval flows.