Markov Engine (IP-Restricted)
The Markov Engine is the internal transition core within the NashMark-AI architecture. It converts system events into state transitions and equilibrium signals. All weighting rules, coefficients, and transition parameters are IP-restricted. Only the external shell, required for reference and integration, is published.
IP-Restricted Component. All transition matrices, jurisdictional mappings, escalation thresholds and proportionality coefficients are withheld.
1. Position in the Architecture
- Receives action traces and system events from NashMark-AI simulations.
- Produces structured state transitions for downstream legal engines.
- Feeds Sansana / PHM, Sentinel, BCE and EEE with volatility and drift signals.
- Provides equilibrium and risk indicators to the broader governance layer.
2. Mathematical Shell (Public)
$ S = \{ s_0, s_1, \dots, s_n \} $
$ P = [p_{ij}],\quad p_{ij} = \Pr(s_{t+1} = s_j \mid s_t = s_i) $
$ \pi_t = \pi_{t-1} P,\quad \pi_t \in \Delta^{n} $
- $ S $ — abstract state space (dimensions withheld).
- $ P $ — transition matrix (values withheld).
- $ \pi_t $ — current system distribution.
3. Integration Contract
| Channel | Symbol | Output |
|---|---|---|
| Input | $ x_t $ | Aggregated event vector. |
| Input | $ s_t $ | Current system state. |
| Output | $ s_{t+1} $ | Next system state. |
| Output | $ E_t $ | Equilibrium proximity signal. |
| Output | $ V_t $ | Volatility index. |
| Output | $ R_t $ | Risk tier for legal engines. |
4. Public Pseudocode Shell
def markov_engine_step(state_t, event_vector):
z = phi(event_vector) # feature mapping (redacted)
row = select_transition(state_t) # transition rule (redacted)
next_state = transition(row) # state update
eq_signal = equilibrium(next_state) # equilibrium index (redacted)
drift = drift_index(state_t, next_state)
risk = classify(next_state)
return next_state, eq_signal, drift, risk
5. Deployment Notes
- Distributed only as a compiled module or through a secured API.
- Transition matrices, coefficients, and harm-weight parameters are not public.
- Legal engines use the outputs; internal logic is not exposed.
- Research simulations use simplified matrices not suitable for governance.
© 2025 Truthfarian · Markov Engine · IP-Restricted Component