GMAE

Sovereign Ledger

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Oracle Feed:LIVE

🛢️ Oil WTI:$75.00 / bbl

🪙 Gold Spot:$2300.00 / oz

🔒 Ledger Sync:Block #102400

Theoretical GMAE Scenario Presets (GMAE Paper Sec. V)

Quick parameter config

GMAE TrustT_t

52.8%

Moderate Volatility

Money Supply (M3)M3

6,961 GMA

M1: 1,094 | M2: 2,906

Inflation Rateπ_t

5.35%

Anchor Target: 2.0%

Policy Rater_t

7.52%

Mode: Static Feedback

Policy Directives

Simulation Identifier

Oracle Price Telemetry

World Crude Oil$75 / bbl

Gold Spot Reserve$2300 / oz

Monetary Aggregates

Liquid Cash (M1)1,000 GMA

Savings Supply (M2)3,000 GMA

Broad Money (M3)8,000 GMA

Consensus Ratios

Transparency (tp)70%

Leakage (lk)20%

Moral Alignment (α)80%

AI governor status

Sovereign Trust & Inflation telemetryDynamic general equilibrium

Dynamic variables are recalculated live using structural model parameters.

Formal Stability Analysis: Jacobian Matrix

Jacobian Matrix J

[

0.80 -0.05-10.50 0.15

]

Derived from state variables Trust ($T_t$) & Inflation ($\pi_t$).

Eigenvalues & Traces

Trace (Tr):0.9500

Determinant (Det):-0.4050

Eigen Magnitude:|λ| = 0.659

Mathematical Regime

Stable Algorithmic Regime

Satisfies Trace-Determinant stability: |λ| < 1. Divergence is mitigated.