Synthetic Players

ClaimPrior-sensitive

Between-prompt composition — substantial, dominance prior-dependent

Median between-prompt share 63–71% (Jeffreys α=.5), 47–53% (α=1); plug-in 85–96%.

Fixed-panel decomposition · Paper §4.1 · P5-1b context

Variation in the panel is strongly prompt-indexed, but its share depends on the uncertainty model:

Uncertainty viewBetween-prompt share (4 repeated-game cells)Reading
Plug-in / conditional bootstrap85.5%, 96.1%, 88.8%, 90.2%conditions on recorded boundary concentration; tends upward
Fixed-panel Dirichlet, Jeffreys α=0.5medians 63.1%, 70.5%, 66.1%, 66.6%shrinks six-episode corner cells toward the interior
Symmetric α=0.25medians 74.8%–82.5%P(share>½)>0.999 in every cell
Symmetric α=1medians 47.1%–53.5%P(share>½) only 0.325–0.700

The data support substantial prompt-indexed composition across the sweep, while the stronger “dominant between-prompt share” reading is prior-dependent. The views bracket the claim under opposite conditioning choices; they are not interchangeable estimators.