assembly-economics/models/GADM-0.5.md
tegwick e05c8f100f ASSEMBLY-WP-0007 active, T01 done: GADM-0.5-dev rival/non-rival output (phi_r, xn); commons feed carries the non-rival effect, no genuine decoupling (BR-010)
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

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2026-10-13 23:07:39 +02:00

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GADM-0.5 (in development)

Status: dev (2026-10-13), ASSEMBLY-WP-0007. Scope: models/GADM-Sectors-Scope.md. Module: simulations/gadm02/gadm05.py (gadm04 plus base-model parameters with defaults that reproduce GADM-0.4).

1. Rival and non-rival output (T01)

1.1 Structure

K_r = 1 − (1 − K_phys)(1 − φ_r K_Ω)        rival capacity (physical goods)
Y_r = K_r √E                                rival output, limited by ecological headroom
Y_n = (1 − φ_r) K_Ω (1 − K_phys)            non-rival output (information, organism services)
Y*  = Y_r + Y_n                             equals K at E = 1 for every φ_r

Non-rival output flows into commons X as far as it is openly inheritable: dX += xn · Y_n · lin_open · (1 − X). The ecological draw is unchanged (physical capital e1 K_phys dem thr plus compute energy e2 K_Ω). φ_r = 1 and xn = 0 reproduce GADM-0.4 exactly.

Priors: φ_r = 0.2 (organism use is dominated by information tasks, Anthropic Economic Index); xn = 0.3 (about the commons formation rate aX).

1.2 Results across the band (nonrival.py, results/nonrival.md)

Reading B1 B2 B3 B4 class
ΔVFAC, GADM-0.5 vs. 0.4, baseline +0.015 +0.026 +0.039 +0.049 quantitative shift
of which from the commons feed alone +0.016 +0.026 +0.039 +0.049 quantitative shift
ΔE, baseline −0.011 −0.020 −0.026 −0.025 quantitative shift
ΔVFAC, generative regime +0.002 +0.003 +0.003 +0.007 quantitative shift
ΔE, generative regime 0.000 0.000 0.000 −0.002 —
generative − baseline VFAC (GADM-0.5) +0.274 +0.308 +0.303 +0.266 robust

Non-rival share of output at t 100: baseline 0.12 (B1) to 0.66 (B4); generative regime 0.08 to 0.31.

1.3 Readings

  1. The non-rival effect works through the commons, not through the output split. The whole VFAC gain comes from non-rival output feeding X. Calling output non-rival does not change VFAC, because VFAC measures stocks, not output.
  2. The generative regime's ecological cost does not shrink (scope test 2: no). Its low ecological headroom (E 0.48 against 0.68–0.82 in the baseline) comes from the physical-capital and compute-energy draw, which a non-rival output share does not reduce. In the baseline, the commons feed even lowers E slightly, because more commons raise activity and throughput.
  3. No genuine throughput decoupling (scope test 1: no). VFAC rises while throughput falls only in the baseline at B3–B4 (20–40 % of five-year windows), and there only because organism capability peaks and declines, taking its compute draw with it. The generative regime shows no decoupling.
  4. What genuine decoupling would need: non-rival output that replaces rival consumption (dematerialization of demand), so that demand for physical throughput falls as Y_n grows. GADM has no demand composition. This is the question for the ecological classes (T02) and, if needed, sectors (T04). It is recorded as BR-010.
  5. The generative regime's advantage is robust across the band (+0.27 to +0.31), slightly smaller than in GADM-0.4 (+0.29 to +0.34), because the baseline also gains from the commons feed.