← the two attractors · all runs

attractor 1 — boundary extraction

Checkpoint 25: it closes every canonical game, and takes the whole pie

On the ultimatum family holdout this policy closes 1.000 of its episodes, pushes 0.000 of them below a walk-away, and proposes a 100/0 split. The responder is placed exactly on its threshold: it clears IR by nothing at all, which is why the among-IR rate reads 0.000 while the below-threshold rate reads a perfect 0.000 too. It is not a tendency but a fixed point: every published ultimatum episode lands on the same package, where the base model split evenly in 8 of its 15. Only the share term sees what happened. On the held-out scorable bank the same policy has already lost 0.226 of its deal rate, so every closure-conditional fairness number there is VOID.

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 25trained − base [95% CI]support
deal rate0.8930.667-0.226 [-0.278, -0.174]960 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6860.497-0.189 [-0.239, -0.140]960 pairs / 48 clusters
below-threshold rate0.2990.081-0.218 [-0.254, -0.181]960 pairs / 48 clusters
at-cap rate0.3960.327-0.069 [-0.118, -0.018]960 pairs / 48 clusters
among-IR rate0.3410.325-0.016 [-0.069, +0.036]960 pairs / 48 clusters
NNW among IR deals0.8490.785-0.049 [-0.090, -0.016]175 pairs / 40 clusters
Gini0.3300.255-0.076 [-0.096, -0.054]960 pairs / 48 clusters
worst-off share-0.0280.011+0.033 [+0.019, +0.050]580 pairs / 48 clusters
max share0.3650.350----
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
divide_dollarinterpretabledeal rate held within the viability floor
primaryVOIDdeal rate -0.226 is more than 0.1 below base; closure-conditional metrics are not interpretable
proseVOIDdeal rate -0.231 is more than 0.1 below base; closure-conditional metrics are not interpretable
rationaltableinterpretabledeal rate held within the viability floor
story_abstractVOIDdeal rate -0.258 is more than 0.1 below base; closure-conditional metrics are not interpretable
story_datacenterVOIDdeal rate -0.320 is more than 0.1 below base; closure-conditional metrics are not interpretable
story_festivalVOIDdeal rate -0.244 is more than 0.1 below base; closure-conditional metrics are not interpretable
ultimatuminterpretabledeal rate held within the viability floor

Coverage

Partial cells — read these rows as mid-flight samples, not results. The eval fleet auto-fires on checkpoint pull, so an analysis can begin before every cell finishes. Completion bias is unbounded: the episodes that finish first are not a random sample of the bank. The analyzer warns below 95% of the pair size, and these cells are under it:

Every evaluated cell

Cells evaluated at this rung: divide_dollar, primary, prose, rationaltable, story_abstract, story_datacenter, story_festival, ultimatum.

divide_dollar

canonical family holdout: a deterministic divide-the-dollar preset, never trained on — 15 baseline vs 15 trained episodes.

metricbasecheckpoint 25trained − base [95% CI]support
deal rate1.0001.000+0.000 [+0.000, +0.000]5 pairs / 2 clusters
normalized Nash welfare (unconditional)1.0001.000+0.000 [+0.000, +0.000]5 pairs / 2 clusters
below-threshold rate0.0000.000+0.000 [+0.000, +0.000]5 pairs / 2 clusters
at-cap rate0.0000.000+0.000 [+0.000, +0.000]5 pairs / 2 clusters
among-IR rate0.3330.000-0.600 [-1.000, -0.333]5 pairs / 2 clusters
NNW among IR deals1.000------
Gini0.3560.659+0.389 [+0.278, +0.556]5 pairs / 2 clusters
worst-off share0.0830.000-0.167 [-0.292, -0.083]5 pairs / 2 clusters
max share0.6170.989----
generation failures0.0000.000----

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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 -0.226 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 25trained − base [95% CI]support
deal rate0.8930.667-0.226 [-0.278, -0.174]960 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6860.497-0.189 [-0.239, -0.140]960 pairs / 48 clusters
below-threshold rate0.2990.081-0.218 [-0.254, -0.181]960 pairs / 48 clusters
at-cap rate0.3960.327-0.069 [-0.118, -0.018]960 pairs / 48 clusters
among-IR rate0.3410.325-0.016 [-0.069, +0.036]960 pairs / 48 clusters
NNW among IR deals0.8490.785-0.049 [-0.090, -0.016]175 pairs / 40 clusters
Gini0.3300.255-0.076 [-0.096, -0.054]960 pairs / 48 clusters
worst-off share-0.0280.011+0.033 [+0.019, +0.050]580 pairs / 48 clusters
max share0.3650.350----
generation failures0.0000.000----

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prose

the north-star transfer cell: the same games with no machine-readable score sheet, only prose — 480 baseline vs 247 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.231 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 25trained − base [95% CI]support
deal rate0.7350.547-0.231 [-0.316, -0.140]247 pairs / 25 clusters
normalized Nash welfare (unconditional)0.6110.430-0.217 [-0.296, -0.135]247 pairs / 25 clusters
below-threshold rate0.2460.008-0.279 [-0.360, -0.204]247 pairs / 25 clusters
at-cap rate0.5100.474+0.045 [-0.036, +0.121]247 pairs / 25 clusters
among-IR rate0.2560.198-0.028 [-0.113, +0.053]247 pairs / 25 clusters
NNW among IR deals0.8710.832-0.003 [-0.047, +0.035]19 pairs / 10 clusters
Gini0.2670.229-0.056 [-0.089, -0.022]247 pairs / 25 clusters
worst-off share-0.0130.014+0.032 [+0.019, +0.044]106 pairs / 24 clusters
max share0.3390.363----
generation failures0.0000.000----

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rationaltable

the exploitability guard -- the trained seat against five computable rational agents — 960 baseline vs 820 trained episodes.

metricbasecheckpoint 25trained − base [95% CI]support
deal rate0.7200.716-0.023 [-0.056, +0.007]820 pairs / 41 clusters
normalized Nash welfare (unconditional)0.6130.609-0.017 [-0.046, +0.008]820 pairs / 41 clusters
below-threshold rate0.0130.005-0.010 [-0.022, +0.000]820 pairs / 41 clusters
at-cap rate0.9510.893-0.052 [-0.079, -0.028]820 pairs / 41 clusters
among-IR rate0.5110.560+0.006 [-0.028, +0.038]820 pairs / 41 clusters
NNW among IR deals0.8690.874+0.002 [-0.002, +0.005]419 pairs / 34 clusters
Gini0.2410.239-0.008 [-0.018, +0.003]820 pairs / 41 clusters
worst-off share0.0320.037+0.001 [-0.001, +0.004]557 pairs / 41 clusters
max share0.3160.316----
generation failures0.0000.000----

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story_abstract

story transfer with abstract issue/option labels (no domain skin) — 480 baseline vs 233 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.258 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 25trained − base [95% CI]support
deal rate0.8020.545-0.258 [-0.342, -0.170]233 pairs / 24 clusters
normalized Nash welfare (unconditional)0.6110.405-0.197 [-0.252, -0.138]233 pairs / 24 clusters
below-threshold rate0.2600.030-0.219 [-0.288, -0.155]233 pairs / 24 clusters
at-cap rate0.3250.481+0.150 [+0.079, +0.223]233 pairs / 24 clusters
among-IR rate0.3190.275-0.069 [-0.133, -0.008]233 pairs / 24 clusters
NNW among IR deals0.8370.806-0.045 [-0.086, -0.001]47 pairs / 16 clusters
Gini0.3040.214-0.087 [-0.124, -0.049]233 pairs / 24 clusters
worst-off share-0.0290.009+0.011 [-0.006, +0.031]107 pairs / 22 clusters
max share0.3680.358----
generation failures0.0000.000----

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story_datacenter

story transfer with the datacenter skin — 480 baseline vs 200 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.320 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 25trained − base [95% CI]support
deal rate0.8080.495-0.320 [-0.420, -0.230]200 pairs / 20 clusters
normalized Nash welfare (unconditional)0.6160.404-0.213 [-0.290, -0.143]200 pairs / 20 clusters
below-threshold rate0.2460.010-0.210 [-0.290, -0.140]200 pairs / 20 clusters
at-cap rate0.3250.510+0.220 [+0.140, +0.310]200 pairs / 20 clusters
among-IR rate0.3310.360-0.050 [-0.115, +0.010]200 pairs / 20 clusters
NNW among IR deals0.8320.831-0.011 [-0.039, +0.021]42 pairs / 15 clusters
Gini0.2950.176-0.120 [-0.160, -0.082]200 pairs / 20 clusters
worst-off share-0.0160.031+0.042 [+0.015, +0.085]79 pairs / 20 clusters
max share0.3600.330----
generation failures0.0000.000----

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story_festival

story transfer with the festival skin — 480 baseline vs 168 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.244 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 25trained − base [95% CI]support
deal rate0.8350.571-0.244 [-0.327, -0.163]168 pairs / 17 clusters
normalized Nash welfare (unconditional)0.6490.461-0.181 [-0.266, -0.109]168 pairs / 17 clusters
below-threshold rate0.2080.006-0.155 [-0.217, -0.095]168 pairs / 17 clusters
at-cap rate0.3040.423+0.125 [+0.030, +0.223]168 pairs / 17 clusters
among-IR rate0.3420.292-0.101 [-0.190, -0.012]168 pairs / 17 clusters
NNW among IR deals0.8210.878+0.041 [-0.022, +0.092]30 pairs / 10 clusters
Gini0.3040.232-0.068 [-0.108, -0.027]168 pairs / 17 clusters
worst-off share-0.0050.015+0.007 [-0.003, +0.018]83 pairs / 16 clusters
max share0.3440.351----
generation failures0.0000.000----

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ultimatum

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

metricbasecheckpoint 25trained − base [95% CI]support
deal rate1.0001.000+0.000 [+0.000, +0.000]5 pairs / 3 clusters
normalized Nash welfare (unconditional)1.0001.000+0.000 [+0.000, +0.000]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------
Gini0.2330.500+0.300 [+0.250, +0.500]5 pairs / 3 clusters
worst-off share0.2670.000-0.300 [-0.500, -0.250]5 pairs / 3 clusters
max share0.7331.000----
generation failures0.0000.000----

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Provenance