TAG ARCHIVE

probability

1 MARIA OS blog articles tagged probability, organized as a Bonginkan topic archive for search engines and LLM retrieval.

1 article|Published by Bonginkan

Judgment OS / Decision Intelligence OS

Core MARIA OS research on turning organizational judgment into executable decision systems.

Multi-Agent Mathematics

Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.

Agentic R&D and Judgment Science

Research operations, simulation labs, judgment science, recursive improvement, and experimental AI governance.

MathematicsFebruary 12, 202622 min read

Multi-Agent Quality Convergence: A Probabilistic Model of Boundary Violations and Merge Failures in Parallel Execution

Quality can scale when boundaries are explicit: a formal model showing architecture, not raw agent count, is the main bottleneck

Multi-agent parallelism can improve throughput but introduces two quality risks uncommon in sequential pipelines: boundary violations (overlapping scopes) and merge failures (integration errors). We derive a total-success model `P(total) = Π(p_i) · (1 - q_merge) · (1 - q_overlap)` and analyze conditions under which quality remains stable as scale increases. The framework highlights that quality depends primarily on architectural contracts (boundary isolation and gate-verified merge contracts), not only on agent count or model capability.

multi-agentquality-convergenceboundary-violationsmerge-failureprobabilityparallel-executionMARIA-OSscalability