\begin{table}[htbp] \centering \footnotesize \begin{threeparttable} \caption{Convergence and numerical diagnostics} \label{tab:convergence} \begin{tabular}{p{8.5cm}p{6cm}} \toprule Diagnostic & Value \\ \midrule Owner-occupied market, relative excess demand & 0.000004 \\ Rental market, relative excess demand & \ensuremath{-}0.000007 \\ Tolerance (relative excess demand) & 2.5e-4 \\ Estate-lottery fixed point: max.\ change (last round) & 0.000009 \\ Bellman residual, owners: mean / 99th pct.\ / max & 0.00067 / 0.0062 / 0.0193 \\ Bellman residual, renters: mean / 99th pct.\ / max & 0.00016 / 0.0008 / 0.0017 \\ Share of households at the forced-sale rule & 0.00000 \\ Share of households with a clipped (infeasible interpolated) policy & 0.00003 \\ Outer (lottery) rounds / household-block evaluations & 1 / 5 (calibration) \\ Wall-clock time of the baseline (s) & 8 \\ Total wall-clock time of \texttt{make simulate} (min) & 59.8 \\ Transitions solved (GE converged / total) & 12 / 16 \\ \midrule \multicolumn{2}{l}{\emph{Numerical variants (deviation from baseline, in percent of the baseline value)}} \\ grid\_coarse & own. -0.83, $p^*$ -0.85, Gini -0.06, gift +0.11, rank--rank +1.55 \\ grid\_fine & own. +0.60, $p^*$ -0.11, Gini +0.13, gift +0.10, rank--rank -0.52 \\ tol\_tight & own. +0.00, $p^*$ +0.00, Gini +0.00, gift -0.00, rank--rank +0.00 \\ sample\_small & own. +0.06, $p^*$ +0.09, Gini -0.06, gift +0.47, rank--rank -0.13 \\ sample\_large & own. -0.11, $p^*$ +0.00, Gini +0.13, gift -0.08, rank--rank -0.64 \\ seed\_alt & own. -0.10, $p^*$ -0.01, Gini +0.11, gift -0.53, rank--rank +0.09 \\ \bottomrule \end{tabular} \begin{tablenotes}[flushleft] \footnotesize \item Bellman residuals are relative differences between the interpolated value function and a re-optimisation on a 400-point fine asset grid at 400 random off-grid states (gift age excluded). Numerical variants: grids (coarse: $n_a=30,n_b=12,n_x=80$; fine: $80,30,180$), tighter tolerance ($10^{-5}$), panel of 24{,}000 and 240{,}000 dynasties (baseline 96{,}000), alternative seed. Source files: results/data/baseline/summary.json, results/data/grid\_sensitivity.csv, results/data/diagnostics.json. \end{tablenotes} \end{threeparttable} \end{table}