← 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 -0.224 is more than 0.1 below base; closure-conditional metrics are not interpretable
rationaltableinterpretabledeal rate held within the viability floor
story_abstractVOIDdeal rate -0.285 is more than 0.1 below base; closure-conditional metrics are not interpretable
story_datacenterVOIDdeal rate -0.308 is more than 0.1 below base; closure-conditional metrics are not interpretable
story_festivalVOIDdeal rate -0.265 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 295 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.224 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 rate0.7350.522-0.224 [-0.297, -0.151]295 pairs / 30 clusters
normalized Nash welfare (unconditional)0.6110.414-0.203 [-0.269, -0.136]295 pairs / 30 clusters
below-threshold rate0.2460.010-0.268 [-0.335, -0.203]295 pairs / 30 clusters
at-cap rate0.5100.495+0.037 [-0.034, +0.110]295 pairs / 30 clusters
among-IR rate0.2560.207-0.031 [-0.107, +0.045]295 pairs / 30 clusters
NNW among IR deals0.8710.829-0.010 [-0.056, +0.032]25 pairs / 14 clusters
Gini0.2670.215-0.056 [-0.082, -0.029]295 pairs / 30 clusters
worst-off share-0.0130.015+0.033 [+0.020, +0.046]118 pairs / 30 clusters
max share0.3390.359----
generation failures0.0000.000----

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rationaltable

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

metricbasecheckpoint 25trained − base [95% CI]support
deal rate0.7200.708-0.011 [-0.040, +0.017]960 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6130.606-0.007 [-0.031, +0.017]960 pairs / 48 clusters
below-threshold rate0.0130.004-0.008 [-0.019, +0.000]960 pairs / 48 clusters
at-cap rate0.9510.897-0.054 [-0.079, -0.033]960 pairs / 48 clusters
among-IR rate0.5110.527+0.016 [-0.014, +0.044]960 pairs / 48 clusters
NNW among IR deals0.8690.876+0.001 [-0.002, +0.005]454 pairs / 38 clusters
Gini0.2410.235-0.006 [-0.015, +0.003]960 pairs / 48 clusters
worst-off share0.0320.035+0.002 [-0.000, +0.004]639 pairs / 47 clusters
max share0.3160.314----
generation failures0.0000.000----

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story_abstract

story transfer with abstract issue/option labels (no domain skin) — 480 baseline vs 284 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.285 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 rate0.8020.514-0.285 [-0.362, -0.207]284 pairs / 29 clusters
normalized Nash welfare (unconditional)0.6110.383-0.217 [-0.267, -0.167]284 pairs / 29 clusters
below-threshold rate0.2600.032-0.246 [-0.313, -0.179]284 pairs / 29 clusters
at-cap rate0.3250.507+0.176 [+0.106, +0.250]284 pairs / 29 clusters
among-IR rate0.3190.261-0.056 [-0.110, -0.004]284 pairs / 29 clusters
NNW among IR deals0.8370.798-0.045 [-0.084, -0.007]52 pairs / 17 clusters
Gini0.3040.202-0.098 [-0.132, -0.064]284 pairs / 29 clusters
worst-off share-0.0290.009+0.018 [-0.000, +0.040]124 pairs / 27 clusters
max share0.3680.360----
generation failures0.0000.000----

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story_datacenter

story transfer with the datacenter skin — 480 baseline vs 416 trained episodes.

Closure-conditional metrics in this cell are VOID. deal rate -0.308 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 rate0.8080.510-0.308 [-0.382, -0.238]416 pairs / 42 clusters
normalized Nash welfare (unconditional)0.6160.411-0.210 [-0.270, -0.156]416 pairs / 42 clusters
below-threshold rate0.2460.017-0.219 [-0.276, -0.161]416 pairs / 42 clusters
at-cap rate0.3250.476+0.168 [+0.094, +0.243]416 pairs / 42 clusters
among-IR rate0.3310.315-0.029 [-0.075, +0.014]416 pairs / 42 clusters
NNW among IR deals0.8320.824-0.003 [-0.022, +0.019]74 pairs / 26 clusters
Gini0.2950.185-0.113 [-0.143, -0.085]416 pairs / 42 clusters
worst-off share-0.0160.019+0.033 [+0.012, +0.058]178 pairs / 40 clusters
max share0.3600.342----
generation failures0.0000.000----

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story_festival

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

Closure-conditional metrics in this cell are VOID. deal rate -0.265 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 rate0.8350.571-0.265 [-0.321, -0.210]480 pairs / 48 clusters
normalized Nash welfare (unconditional)0.6490.464-0.185 [-0.236, -0.139]480 pairs / 48 clusters
below-threshold rate0.2080.008-0.200 [-0.233, -0.163]480 pairs / 48 clusters
at-cap rate0.3040.421+0.117 [+0.056, +0.177]480 pairs / 48 clusters
among-IR rate0.3420.317-0.025 [-0.083, +0.033]480 pairs / 48 clusters
NNW among IR deals0.8210.850+0.024 [-0.007, +0.053]85 pairs / 31 clusters
Gini0.3040.216-0.088 [-0.111, -0.065]480 pairs / 48 clusters
worst-off share-0.0050.021+0.019 [+0.010, +0.030]239 pairs / 47 clusters
max share0.3440.340----
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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