world-extractable-value

name world-extractable-value description Extract value from world transitions via Markov blanket arbitrage. WEV = PoA - 1. Paradigm Multiverse Finance integration. trit 0 polarity ERGODIC source Friston (2010) + Roughgarden (2002) + Paradigm/Dave White (2025) World Extractable Value (WEV) Skill "The gap between Nash and Optimal is not waste -- it is extractable value." "Multiverse Finance splits the financial system into parallel universes." -- Dave White, Paradigm Overview World Extractable Value quantifies the inefficiency extractable from selfish equilibria, integrated with Paradigm's Multiverse Finance thesis: WEV = Price of Anarchy - 1 = (C_Nash / C_Opt) - 1 This bridges: Friston's Free Energy : Minimize surprise via inference Roughgarden's PoA : Bound selfish routing inefficiency Badiou's World-Hopping : Events extract truth from being Core Formula ┌─────────────────────────┐ │ WORLD W₁ (Nash) │ │ Cost = C_Nash │ └───────────┬─────────────┘ │ ┌─────▼─────┐ │ MARKOV │ │ BLANKET │ │ (Event) │ └─────┬─────┘ │ ┌───────────▼─────────────┐ │ WORLD W₂ (Optimal) │ │ Cost = C_Opt │ └─────────────────────────┘ WEV = C_Nash - C_Opt = C_Opt × (PoA - 1) Components 1. Price of Anarchy (Roughgarden) For d-regular Ramanujan expanders: PoA = 1 + 1/gap = 1 + 1/(d - 2√(d-1)) d=4: PoA = 1 + 1/0.536 ≈ 2.87 2. Free Energy (Friston) F = E_q[log q(x) - log p(x,y)] = Prediction_Error + Model_Complexity F ≈ 1/gap + 0.1 ≈ 1.96 3. Markov Blanket The boundary between self and world: Sensory states : Observations from world Active states : Actions on world Internal states : Agent's model 4. Action Direction Condition Strategy Effect Error > 0.5 Perceptual Inference Update beliefs Error ≤ 0.5 Active Inference Change world GF(3) Triads ramanujan-expander (-1) ⊗ world-extractable-value (0) ⊗ influence-propagation (+1) = 0 ✓ three-match (-1) ⊗ world-extractable-value (0) ⊗ gay-mcp (+1) = 0 ✓ sheaf-cohomology (-1) ⊗ world-extractable-value (0) ⊗ open-games (+1) = 0 ✓ Implementation Babashka (defn compute-wev [seed spectral-data] (let [poa (:price_of_anarchy spectral-data) gap (:spectral_gap spectral-data) wev (- poa 1) free-energy (+ (/ 1 gap) 0.1) action (if (> (/ 1 gap) 0.5) :perceptual_inference :active_inference)] {:wev wev :free_energy free-energy :action_direction action :pct_extractable (* 100 (/ wev poa))})) Julia function world_extractable_value(d::Int, n::Int) gap = d - 2√(d-1) poa = 1 + 1/gap wev = poa - 1 mixing_time = log(n) / gap (wev=wev, poa=poa, gap=gap, mixing=mixing_time) end DuckDB Schema CREATE TABLE world_extractable_value ( wev_id VARCHAR PRIMARY KEY , seed_hex VARCHAR , world_from VARCHAR , world_to VARCHAR , price_of_anarchy FLOAT , free_energy FLOAT , wev FLOAT , prediction_error FLOAT , action_direction VARCHAR , markov_blanket_size INT , extracted_at TIMESTAMP ); -- Query extractable value SELECT wev_id, wev, ROUND(wev / price_of_anarchy * 100 , 1 ) as pct_extractable, action_direction FROM world_extractable_value ORDER BY extracted_at DESC ; Alterpolitics Interpretation Alterpolitics = alternative coordination mechanisms that reduce PoA: Mechanism Effect on PoA WEV Change Correlated Equilibrium PoA → 1.5 WEV ↓ 0.5 Smooth Games PoA → 1.33 WEV ↓ 0.33 Stackelberg PoA → 1.0 WEV → 0 The goal: extract value by moving toward coordination. Commands just wev-history # Query WEV log just wev-summary # Aggregate stats just wev-compare # Nash vs Optimal just triad-anarchy # Full anarchy triad Integration Pre-Interaction Hook WEV is computed on every interaction via .ruler/hooks/pre-interaction.bb : 7. ALWAYS compute World Extractable Value └─ wev = compute-world-extractable-value(seed, spectral) Glass Bead Game World-hopping extracts value via Badiou triangle: d(W₁, W₃) ≤ d(W₁, W₂) + d(W₂, W₃) WEV(hop) = Σ d(Wᵢ, Wᵢ₊₁) × extraction_rate Paradigm Multiverse Finance Integration Dave White's Multiverse Finance (May 2025) provides the financial mechanism: Verses as Worlds A verse is a parallel universe corresponding to a probability event: Complement: V and not-V partition the outcome space Union: V1 OR V2 forms new verse Intersection: V1 AND V2 forms child verse Ownership Operations Operation Effect WEV Implication push_down(partition) Split ownership to child verses Spread risk across worlds pull_up(resolution) Combine ownership after oracle Extract value at resolution Multiverse Map Map[verse_id, owner_address] -> balance Splitting: parent.balance -= x; for child in partition: child.balance += x Combining: for child in partition: child.balance -= x; parent.balance += x Key Insight Assets in the same verse can be borrowed/lent freely because if one disappears (verse resolves false), all disappear simultaneously. No liquidation risk within a verse. WEV extraction = pull_up after favorable verse resolution. References Roughgarden, T. (2002) -- "How Bad is Selfish Routing?" Friston, K. (2010) -- "The Free-Energy Principle" Roughgarden, T. (2015) -- "Intrinsic Robustness of the Price of Anarchy" Powers, W. (1973) -- "Behavior: The Control of Perception" White, D. / Paradigm (2025) -- "Multiverse Finance" https://paradigm.xyz/2025/05/multiverse-finance See Also ramanujan-expander - Spectral gap open-games - Nash equilibrium glass-bead-game - World-hopping influence-propagation - Network effects