plurigrid 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.