# Model Overview

This model quantifies how miner M(t) and validator V(t) fluctuations ripple through the reward pool R(t) and answer quality Q(t). Parameters are calibrated to three-month logs from a comparable public TAO subnet; trajectories that follow are illustrative:

**Parameters & Variables:**

* M(t): Number of active miners at time (t)
* V(t): Number of active validators at time (t)
* R(t): Reward distribution at time (t)
* Q(t): Quality of AI responses at time (t)
* λ: Rate of miner activity
* μ: Rate of validator activity
* σ: Standard deviation representing the variability in reward distribution

\
Drift λ = 0.002 day⁻¹, μ = 0.001 day⁻¹. Volatility κₘ = 0.25, κᵥ = 0.15, σ\_R = 10.\
Miner/validator noise correlation ρ ≈ 0.2 (regional events affect both)
