% Generated by numerical_supplement/code/write_results.py \begin{tabular}{lrr} \toprule Contractible partition of $\{0,1,2,4\}$ & Lower bound & Upper bound \\ \midrule Full outcome $\{\{0\},\{1\},\{2\},\{4\}\}$ & 0.55803316 & 0.55806773 \\ Pool unpaid outcomes $\{\{0,1\},\{2\},\{4\}\}$ & 0.55803316 & 0.55806773 \\ Two pooled cells $\{\{0,1\},\{2,4\}\}$ & 0.55346923 & 0.55350481 \\ Top-outcome bonus $\{\{0,1,2\},\{4\}\}$ & 0.34362673 & 0.34365273 \\ \bottomrule \end{tabular}