1Interactive exact-output model · DD-022
Coordination-Free Positive Sharing Lab
Select an immutable exact cell and compare the declared private and posterior-only shared symmetric equilibria. The Lab never recomputes or interpolates evidence.
Exact selected crossover
at p=3/5, shared discovery > private equilibrium discovery iff ρ ∈ ((5*sqrt(73)-17)/48, 1)
Approximate marker: ρ*=53.583%. Sharing reveals the agreement pattern and updates dependence beliefs; it does not reveal the latent source branch or assign roles.
Showing the p=3/5, rho=1/2 private selected equilibrium.
12/1917/1918/259/2519/256/253/507/25Discovery versus ρ
Private is the first bar; shared is the second. The exact crossover applies to p=3/5.
ρ=0—
ρ=1/6—
ρ=1/4—
ρ=1/2—
ρ=7/12—
ρ=3/4—
ρ=1—
Regimes and implementation gap
The selected cell reports both equilibrium regimes and the remaining gap to centralized V2=1.
Complete exact table — 42 cells
Scroll horizontally to see every column.
| p | ρ | Private r | Shared agreement x | Private discovery | Shared discovery | Gain | Class |
|---|---|---|---|---|---|---|---|
| 1/2 | 0 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 1/2 | 1/6 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 1/2 | 1/4 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 1/2 | 1/2 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 1/2 | 7/12 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 1/2 | 3/4 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 1/2 | 1 | 1/2 | 1/2 | 3/4 | 3/4 | 0 | neutral |
| 11/20 | 0 | 1 | 161/202 | 319/400 | 297/404 | -2519/40400 | negative |
| 11/20 | 1/6 | 1 | 71/94 | 121/160 | 693/940 | -143/7520 | negative |
| 11/20 | 1/4 | 1 | 743/1006 | 1177/1600 | 1485/2012 | 1969/804800 | positive |
| 11/20 | 1/2 | 161/202 | 421/602 | 297/404 | 891/1204 | 297/60802 | positive |
| 11/20 | 7/12 | 71/94 | 175/254 | 693/940 | 1881/2540 | 99/29845 | positive |
| 11/20 | 3/4 | 421/602 | 941/1402 | 891/1204 | 2079/2804 | 297/211001 | positive |
| 11/20 | 1 | 13/20 | 13/20 | 297/400 | 297/400 | 0 | neutral |
| 3/5 | 0 | 1 | 1 | 21/25 | 18/25 | -3/25 | negative |
| 3/5 | 1/6 | 1 | 1 | 4/5 | 7/10 | -1/10 | negative |
| 3/5 | 1/4 | 1 | 31/32 | 39/50 | 45/64 | -123/1600 | negative |
| 3/5 | 1/2 | 1 | 17/19 | 18/25 | 27/38 | -9/950 | negative |
| 3/5 | 7/12 | 1 | 7/8 | 7/10 | 57/80 | 1/80 | positive |
| 3/5 | 3/4 | 17/19 | 37/44 | 27/38 | 63/88 | 9/1672 | positive |
| 3/5 | 1 | 4/5 | 4/5 | 18/25 | 18/25 | 0 | neutral |
| 13/20 | 0 | 1 | 1 | 351/400 | 611/800 | -91/800 | negative |
| 13/20 | 1/6 | 1 | 1 | 403/480 | 143/192 | -91/960 | negative |
| 13/20 | 1/4 | 1 | 1 | 1313/1600 | 2353/3200 | -273/3200 | negative |
| 13/20 | 1/2 | 1 | 1 | 611/800 | 1131/1600 | -91/1600 | negative |
| 13/20 | 7/12 | 1 | 1 | 143/192 | 1339/1920 | -91/1920 | negative |
| 13/20 | 3/4 | 1 | 1 | 1131/1600 | 2171/3200 | -91/3200 | negative |
| 13/20 | 1 | 19/20 | 19/20 | 273/400 | 273/400 | 0 | neutral |
| 2/3 | 0 | 1 | 1 | 8/9 | 7/9 | -1/9 | negative |
| 2/3 | 1/6 | 1 | 1 | 23/27 | 41/54 | -5/54 | negative |
| 2/3 | 1/4 | 1 | 1 | 5/6 | 3/4 | -1/12 | negative |
| 2/3 | 1/2 | 1 | 1 | 7/9 | 13/18 | -1/18 | negative |
| 2/3 | 7/12 | 1 | 1 | 41/54 | 77/108 | -5/108 | negative |
| 2/3 | 3/4 | 1 | 1 | 13/18 | 25/36 | -1/36 | negative |
| 2/3 | 1 | 1 | 1 | 2/3 | 2/3 | 0 | neutral |
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | neutral |
| 1 | 1/6 | 1 | 1 | 1 | 1 | 0 | neutral |
| 1 | 1/4 | 1 | 1 | 1 | 1 | 0 | neutral |
| 1 | 1/2 | 1 | 1 | 1 | 1 | 0 | neutral |
| 1 | 7/12 | 1 | 1 | 1 | 1 | 0 | neutral |
| 1 | 3/4 | 1 | 1 | 1 | 1 | 0 | neutral |
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | neutral |
Evidence and selection boundary
The result is exact for a posterior-only, provenance-blind identical-mixing selection. Ownership-aware and role-dependent equilibria can split targets and attain different discovery; the strict result does not survive every equilibrium.
DD-C-0104 · DD-C-0105 · DD-C-0106 · DD-C-0107 · DD-C-0108 · DD-C-0109 · DD-C-0110 · 20260722T210334Z_DD-022_2376d5b7_ad67765ca8