Aptos Society Scale Skill

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:

XOR all addresses in segment → segment_seed
Maximum Hamming distance reordering
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.

Agent Skills: Aptos Society Scale

Install this agent skill to your local

Skill Files