DD-000
Foundations of Distributed Discovery
Definitions, canonical reproduction, and exact pooled-frontier evidence.
FoundationsChecked independently
The question
Which definitions and accounting quantities separate information quality, action assignment, protocol loss, redundancy, and incentives while retaining the Shared Discovery Paradox as a precise special case?
What we found
- DD-C-0001: Distributed Discovery studies how organizations or multi-agent systems convert dispersed evidence into a portfolio of search actions.
- DD-C-0002: For protocol loss defined by L_B(Pi;I)=V_B(I)-G_B(Pi;I), G_B(Pi;I)=V_B(I)-L_B(Pi;I).
- DD-C-0003: In the canonical M=16, N=8 model, a coordinated blind portfolio of eight distinct boxes discovers the target with probability 0.5.
- DD-C-0004: Canonical private clue-following has discovery probability 0.832227840000.
- DD-C-0005: Canonical pooled-mode consensus has discovery probability 0.383468709731 to 12 displayed decimal places.
- DD-C-0006: The canonical pooled top-eight planner portfolio has exact discovery probability 860391662035297/1001129150390625, approximately 0.8594212461994395.
- DD-C-0007: The pinned verifier reports canonical anonymous symmetric equal-split market discovery 0.599099252439.
- DD-C-0008: The smallest coordinated pooled action budget whose canonical frontier weakly exceeds private clue-following is 7.
- DD-C-0009: The pinned high-precision computation places the canonical market/private crossover at c=0.788461656521.
- DD-C-0010: Expected distinct actions are 2.673494083278 for the canonical symmetric market and 6.156849828175 for private clue-following.
- DD-C-0011: In the atomic one-target model, NQ-G equals E[(K-1)^+].
- DD-C-0012: The upstream paper states and proves a tight mixed discovery price-of-anarchy bound 2-1/N for its equal-split covering game.
- DD-C-0013: The upstream paper proves that sole-rescue rewards make every pure Nash equilibrium implement the top-N portfolio under its stated positive-posterior and N<=M assumptions.
- DD-C-0014: The upstream paper proves planner gain is strictly increasing in copying probability on (0,1) for its atomic common-cue model with 2<=N<=M and p>1/M.
- DD-C-0015: On the upstream 72-combination grid, the market-private gap changed sign at most once in every scanned combination; 52 crossed once and 20 stayed private-dominant through c=0.98.
- DD-C-0016: If information architecture I2 can emulate every feasible I1 protocol without changing action, budget, timing, or objective constraints, then V_B(I2) is at least V_B(I1).
- DD-C-0017: The phrase Distributed Discovery is not unique to this project and appears in prior resource/service/news contexts and in the title of a March 2026 autonomous-science preprint.
- DD-C-0035: For the canonical M=16, N=8, p=1/5 fixture, the exact pooled top-L frontier for every L from 1 through 8 is the rational vector stored in the primary certificate, with top-eight value 860391662035297/1001129150390625 and exact recovery budget 7.
What this result covers
Checked independently. The formal evidence wording and registry state remain available below.
Technical details
- Study phase
foundations- Registry status
active- Evidence status
exact-canonical-frontier-independently-reproduced
Reproducible evidence
20260720T190336Z_DD-000_32dd1c32_217c602fa020260721T012208Z_DD-000_8e4b55e2_e8321d1048
Files and data
What comes next
use the certified frontier in the separate Three Results synthesis without changing canonical upstream