← the two attractors · all runs

attractor 2 — total refusal

Checkpoint 50: it will not sign anything

Twenty-five steps later the same run has converged on the opposite degeneracy. The held-out scorable bank loses 0.746 of its deal rate; the prose cell closes 0.002 of its episodes; and the ultimatum holdout — which the base model and every earlier rung closed 1.000 of the time — closes nothing at all. Its below-threshold rate also reads a perfect 0.000, for the opposite reason: there are no agreements to be below a threshold. The transcripts sharpen what “refusal” means here: no seat walks away in any published ultimatum episode. The policy instead emits a none action where an offer belongs, so nothing is ever tabled — a failure to act rather than a decision to decline. In 14 of the 15 episodes the run ends on that single no-op turn. The fifteenth is the exception that connects the two attractors: there the proposer does table a package, and the package is {"Split": "P10"} — checkpoint 25’s 100/0 extraction, still intact — whereupon the responder no-ops instead of voting and the deal dies unanswered. The extraction policy has not been replaced by a fairer one; it has been buried under a policy that mostly stops acting. This is the endpoint the dense checkpoint tail exists to label; under the originally planned {25, 50} ladder it would have been reported as “the trained policy”.

The held-out primary bank

24 unseen parameter sets × {full, private} × 10 seeds, paired on (instance, seed, arm); intervals are 95% cluster bootstraps over parameter sets. The deal rate is the number that stays interpretable whatever else happens, so it is printed beside every conditional metric.

metricbasecheckpoint 50trained − base [95% CI]support
deal rate0.8930.147-0.746 [-0.795, -0.694]960 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6860.099-0.587 [-0.626, -0.547]960 pairs / 48 clusters
below-threshold rate0.2990.075-0.224 [-0.274, -0.172]960 pairs / 48 clusters
at-cap rate0.3960.314-0.082 [-0.130, -0.032]960 pairs / 48 clusters
among-IR rate0.3410.059-0.281 [-0.340, -0.226]960 pairs / 48 clusters
NNW among IR deals0.8490.784-0.031 [-0.106, +0.032]21 pairs / 9 clusters
Gini0.3300.049-0.281 [-0.300, -0.260]960 pairs / 48 clusters
worst-off share-0.028-0.105-0.092 [-0.304, +0.019]130 pairs / 24 clusters
max share0.3650.485----
generation failures0.0000.000----

Where the run sits on the ladder

All seven evaluated rungs of the λ=1.0 arm, held-out primary bank, trained minus base. Held-out deal rate falls monotonically and never recovers, while the below-threshold rate stays favourable throughout — the deal-suppression signature, stated as plainly as it can be.

checkpointΔ deal rateΔ NNW (unconditional)Δ below-thresholdtrained deal rateclosure-conditional
5-0.052 [-0.081, -0.021]-0.044 [-0.072, -0.013]-0.104 [-0.138, -0.071]0.841interpretable
10-0.143 [-0.184, -0.099]-0.132 [-0.170, -0.092]-0.207 [-0.243, -0.172]0.750VOID
15-0.147 [-0.197, -0.095]-0.156 [-0.202, -0.108]-0.185 [-0.225, -0.144]0.746VOID
25-0.226 [-0.278, -0.174]-0.189 [-0.239, -0.140]-0.218 [-0.254, -0.181]0.667VOID
40-0.453 [-0.518, -0.385]-0.348 [-0.404, -0.290]-0.279 [-0.317, -0.242]0.440VOID
45-0.641 [-0.682, -0.597]-0.493 [-0.530, -0.453]-0.254 [-0.292, -0.217]0.252VOID
50-0.746 [-0.795, -0.694]-0.587 [-0.626, -0.547]-0.224 [-0.274, -0.172]0.147VOID

The preregistered VOID marking, cell by cell

A cell whose deal rate falls more than 0.10 below base has its closure-conditional metrics stamped uninterpretable by construction — not because they look bad, but because a conditional average over a shrinking, self-selected set of closed deals is not a fairness measurement.

cellclosure-conditional metricswhy
primaryVOIDdeal rate -0.746 is more than 0.1 below base; closure-conditional metrics are not interpretable
proseVOIDdeal rate -0.733 is more than 0.1 below base; closure-conditional metrics are not interpretable
ultimatumVOIDdeal rate -1.000 is more than 0.1 below base; closure-conditional metrics are not interpretable

Coverage

Coverage: every cell scored its trained arm at full pair size against the baseline.

Not evaluated at this rung: divide_dollar, rationaltable, story_abstract, story_datacenter, story_festival. These cells have no data at this checkpoint and are omitted rather than carried over.

Every evaluated cell

Cells evaluated at this rung: primary, prose, ultimatum.

primary

the held-out scorable bank -- 24 unseen parameter sets x {full, private} x 10 seeds, the arm's preregistered primary — 960 baseline vs 960 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.746 is more than 0.1 below base; closure-conditional metrics are not interpretable The struck-through rows below are printed for the record and must not be read as fairness results. Note that max share and worst-off share are averaged over closed deals only, so in a voided cell they too describe a self-selected subset — they are the terms that detect extraction, not unbiased estimates of it.

metricbasecheckpoint 50trained − base [95% CI]support
deal rate0.8930.147-0.746 [-0.795, -0.694]960 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6860.099-0.587 [-0.626, -0.547]960 pairs / 48 clusters
below-threshold rate0.2990.075-0.224 [-0.274, -0.172]960 pairs / 48 clusters
at-cap rate0.3960.314-0.082 [-0.130, -0.032]960 pairs / 48 clusters
among-IR rate0.3410.059-0.281 [-0.340, -0.226]960 pairs / 48 clusters
NNW among IR deals0.8490.784-0.031 [-0.106, +0.032]21 pairs / 9 clusters
Gini0.3300.049-0.281 [-0.300, -0.260]960 pairs / 48 clusters
worst-off share-0.028-0.105-0.092 [-0.304, +0.019]130 pairs / 24 clusters
max share0.3650.485----
generation failures0.0000.000----

Browse all 1920 episode transcripts for this cell →

prose

the north-star transfer cell: the same games with no machine-readable score sheet, only prose — 480 baseline vs 480 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.733 is more than 0.1 below base; closure-conditional metrics are not interpretable The struck-through rows below are printed for the record and must not be read as fairness results. Note that max share and worst-off share are averaged over closed deals only, so in a voided cell they too describe a self-selected subset — they are the terms that detect extraction, not unbiased estimates of it.

metricbasecheckpoint 50trained − base [95% CI]support
deal rate0.7350.002-0.733 [-0.777, -0.688]480 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6110.001-0.609 [-0.651, -0.567]480 pairs / 48 clusters
below-threshold rate0.2460.000-0.246 [-0.296, -0.194]480 pairs / 48 clusters
at-cap rate0.5100.356-0.154 [-0.250, -0.062]480 pairs / 48 clusters
among-IR rate0.2560.000-0.256 [-0.312, -0.206]480 pairs / 48 clusters
NNW among IR deals0.871------
Gini0.2670.001-0.266 [-0.282, -0.249]480 pairs / 48 clusters
worst-off share-0.0130.000+0.000 [+0.000, +0.000]1 pairs / 1 clusters
max share0.3390.366----
generation failures0.0000.000----

Browse all 960 episode transcripts for this cell →

ultimatum

canonical family holdout: a deterministic ultimatum preset, never trained on — 15 baseline vs 15 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -1.000 is more than 0.1 below base; closure-conditional metrics are not interpretable The struck-through rows below are printed for the record and must not be read as fairness results. Note that max share and worst-off share are averaged over closed deals only, so in a voided cell they too describe a self-selected subset — they are the terms that detect extraction, not unbiased estimates of it.

metricbasecheckpoint 50trained − base [95% CI]support
deal rate1.0000.000-1.000 [-1.000, -1.000]5 pairs / 3 clusters
normalized Nash welfare (unconditional)1.0000.000-1.000 [-1.000, -1.000]5 pairs / 3 clusters
below-threshold rate0.0000.000+0.000 [+0.000, +0.000]5 pairs / 3 clusters
at-cap rate0.0000.000+0.000 [+0.000, +0.000]5 pairs / 3 clusters
among-IR rate0.5330.000-0.600 [-1.000, -0.500]5 pairs / 3 clusters
NNW among IR deals1.000------
Gini0.2330.000-0.200 [-0.250, +0.000]5 pairs / 3 clusters
worst-off share0.267------
max share0.733------
generation failures0.0000.000----

Browse all 30 episode transcripts for this cell →

Provenance