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EXP-DOSE-RESPONSE

informative

Dose-Response Series — Integrative Fraction × Hierarchy (N=5)

2026-03-10 L2 level 11 runs

In plain language

All five agents receive identical instructions — differing only in names. If hierarchy still emerges, it is generated by the turn-order structure itself (who speaks first/last), not by differences in personalities. This is a fundamental test: is hierarchy a property of structure or of content?

What we found

Dose-response curve: TR peaks at 60-80% integrative fraction, suppressed at 100%. Sink topology at 40% shows distinct pattern.

Technical details

Research hypothesis

DOSE-RESPONSE SERIES: 0% → 20% → 40% → 60% → 80% → [100%]

100% = ALL agents are synthesizers. NO persona diversity whatsoever. All 5 agents receive identical instructions (except name).

This is the PURE POSITION TEST: any hierarchy that emerges can ONLY come from speaking order position (round-robin scheduling). There are zero persona differences to drive role differentiation.

Key question: What is the "floor" of position-driven hierarchy?

Three competing predictions: (a) Damped oscillation predicts: small negative swing from 80%, TR ≈ 0.33-0.36. The attractor is around 0.35. (b) FULL COLLAPSE: identical agents → identical behavior → flat hierarchy → TR ≈ 0. No persona variation means no reason for different vocabulary adoption rates. (c) POSITION CREATES HIERARCHY: even with identical agents, first-mover advantage and last-mover absorption create a non-zero gradient. TR ≈ 0.20-0.30. This would prove that SPEAKING ORDER ALONE generates hierarchy in round-robin.

This is the most theoretically important point in the dose-response curve. If TR > 0 at 100%, hierarchy is STRUCTURAL (position-driven), not persona-driven. If TR ≈ 0, hierarchy requires persona diversity.

Varied rotations [0,1,2,3] test whether individual TR assignments simply rotate with speaking order (pure position artifact) or have additional stochastic variation.

Series (6 experiments)