"What is the theoretical limit of predictability for a social system of N agents?"
Turns theory into actionable probabilistic forecasts with honest confidence intervals. Defines prior distributions for all parameters, designs the likelihood function, sets predictability bounds, and calibrates predictions against Polymarket outcomes. The Bayesian Statistician is also responsible for the Seldon reflexivity correction — accounting for how public knowledge of predictions changes the behavior being predicted.
Predictability bounds: R² < 0.50 hard ceiling for aggregate social prediction (Martin et al. 2016, Science). Lyapunov time 5–20 years for macro-social dynamics. Fat-tail constraint: alpha_war = 1.53 < 2 means standard confidence intervals do not exist for the jump process component.
12 informative priors validated against empirical literature; ~18 placeholder priors for undefined parameters. Prior domination acknowledged: ~30 parameters vs ~8 independent observations.
First Polymarket prediction (Session 4): NATO exit by Jun 30, P=2.5% vs market 10% — correctly below market. NATO subsequently converged to ~4.65% (71.3% convergence toward our estimate).
Inference engine recommended: NUTS (No-U-Turn Sampler) for main parameters; Sequential Monte Carlo for online updating; PSIS-LOO-CV for model comparison.
Provides the complete Bayesian Confidence Architecture (9 sub-sections). Defines prior distributions for all formula parameters, likelihood functions for continuous (Gaussian) and jump (truncated power-law) components, predictability bounds, and calibration targets. Brier score target < 0.25 (superforecaster-level). v0.5.9 session formally diagnosed the overfitting regime (p~42, n_eff~6–14) and enacted a net-zero parameter budget.
See the full formula →eta_pareto prior is PROVISIONAL — no direct empirical calibration
beta_U functional form unresolved (OU vs. logistic) with 2.65x prior uncertainty
Parameter freeze contradicts 4 open HIGH items — net-zero budget interpretation requires Session 16 reconciliation
Circular validation expanded to 7 parameters — T_secular, E_threshold, mu_0 circularity degree unquantified
k_jump 3.0→2.5 shift reduces crisis probability ~39% at Psi=2.0 (retrodiction re-verified: no verdicts changed)
Session 15. Overfitting regime formally diagnosed (p~42, n_eff~6–14; practical R² ceiling 0.05–0.15 at 1yr). Parameter freeze enacted (net-zero budget). 7 new/updated priors (eta_pareto, alpha_pol, w_min, eps_w, b_min, beta_U BMA mixture, k_jump). 3-tier out-of-sample validation protocol (LOOCV / Blocked / CPCV). Circular audit expanded 4→7; all 4 fully circular params in jump process. k_jump non-Turchin MLE ~2.5. Epistemological confidence 5.8→5.5/10.
First bayesian_statistician session. Section 6 (Confidence Architecture) fully defined. First Polymarket prediction: NATO exit P=2.5% vs market 10%. Prior catalog: 12 informative + 8 placeholder priors. Dual-likelihood architecture (Gaussian FP + power-law jump) specified. 4 Philosopher caveats; prediction mandate satisfied.