DD-002
Information Design for Discovery
Exact disclosure and equilibrium-selection catalogue for a bounded fixture.
Completed finite studyChecked independently
The question
Can Blackwell-more-informative public disclosure lower equilibrium discovery by concentrating autonomous actions?
What we found
- DD-C-0029: The bounded DD-002 fixture has exactly 15 deterministic public disclosure policies up to message-label equivalence; the primary run evaluates all 37 induced posterior games and stores all 256 global pure-equilibrium selections plus the anonymous symmetric equilibrium for every message.
- DD-C-0030: In the bounded DD-002 fixture, disclosure {{0,1},{2,3}} refines full pooling but lowers anonymous-symmetric discovery from 5/9 to 171/308 by 1/2772, while every pure-equilibrium discovery rises from 2/3 to 3/4 and planner discovery rises from 2/3 to 3/4.
- DD-C-0031: Across all 45 strict deterministic refinement pairs in the bounded DD-002 fixture, exactly one lowers anonymous-symmetric discovery, eight lower worst-pure-equilibrium discovery, none lowers best-pure-equilibrium discovery, and none lowers two-action planner discovery.
- DD-C-0039: Every two-searcher equal-split location game with posterior masses mu has exact potential Phi(a,b)=3mu_a/2 when a=b and Phi(a,b)=mu_a+mu_b otherwise; consequently every strict best-response path terminates at a pure Nash equilibrium.
- DD-C-0040: For the known refinement P00 to P03, anonymous-symmetric discovery falls from 5/9 to 171/308, but best-pure, worst-pure, uniform-potential-maximum, uniform-strict-best-response-basin, and planner discovery all rise exactly from 2/3 to 3/4.
- DD-C-0041: Across all 45 strict deterministic refinements in the frozen DD-002 fixture, harmful counts are 1 anonymous-symmetric, 0 best-pure, 8 worst-pure, 2 uniform-potential-maximum, 2 uniform-strict-best-response-basin, and 0 planner; the potential and basin partition values coincide on all 15 disclosures.
What this result covers
Checked independently. The formal evidence wording and registry state remain available below.
Technical details
- Study phase
complete-bounded-study- Registry status
complete-bounded-selection-catalogue- Evidence status
independently-reproduced-exact-potential-and-six-rule-refinement-census
Reproducible evidence
20260720T225848Z_DD-002_94607423_e29b1460ae20260721T025802Z_DD-002_73a85c71_b0e5b6dc49
Files and data
What comes next
preserve selection regressions; randomized disclosure requires a separate ADR