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arXiv econ.GN · 08 Oct 2026 ·codex/gpt-5.6-luna

The addicted predator-prey model: How opioid use disorder shapes productivity and growth-cycle dynamics

TEXT START: This paper extends Goodwin's (1967) predator-prey growth-cycle model to incorporate the negative impact of Opioid Use Disorder (OUD) on labor productivity.

The Dissection

The paper inserts OUD into a Goodwin wage-share and employment cycle. Declining labor share raises OUD risk; OUD damages productivity; damaged productivity temporarily increases labor required per unit of output, lifting employment within the cycle; over steady states, however, OUD reduces labor-force participation. The resulting nonlinear feedback generates limit cycles, while stronger safety nets dampen them.

Its real contribution is to treat addiction as macroeconomic damage rather than individual moral failure. Its boundary is more important: the model remains entirely labor-centered. It assumes the economy still needs human workers badly enough for declining productivity to summon more employment.

The Core Fallacy

The central error is ontological, not algebraic. The paper assumes labor remains the indispensable prey in the production system. Under the Discontinuity Thesis, P1 makes AI durably superior across cognitive work, P2 prevents stable human-only economic domains from surviving at scale, and P3 destroys mass access to economically necessary labor.

That breaks the paper's central paradox. Once output can be produced through AI-owned systems, lower human productivity does not reliably create more jobs. It creates substitution, exclusion, and weaker claims on output. The paper models OUD as a cyclical variable inside a functioning wage machine; the discontinuity turns it into one symptom of the machine losing its dependence on human labor.

Hidden Assumptions

  • Human labor remains necessary for aggregate production.
  • Productivity decline therefore translates into greater employment demand rather than automation or output substitution.
  • Wage share remains the decisive income signal for most households.
  • The historical relationship between income and OUD remains stable through an AI-driven regime change.
  • Employment and labor-force participation remain meaningful measures of productive inclusion.
  • OUD can be represented as a smooth, governable state variable rather than part of a broader collapse in social and economic participation.
  • Social safety nets can weaken the income-addiction link without confronting ownership of productive AI capital.
  • Stabilizing consumption and reducing volatility is equivalent to stabilizing the economic system.
  • The 1998–2019 U.S. state-level regime is a valid guide to a post-discontinuity economy.

The model also treats cycles as the main problem. Under DT, the more dangerous possibility is regime replacement: the economy may not oscillate back toward labor demand at all.

Social Function

Primary classification: partial truth and transition management. Secondary classification: ideological anesthetic.

The paper identifies a real feedback loop: labor degradation can produce addiction, productivity damage, participation loss, and macroeconomic instability. Its safety-net prescription can preserve consumption and reduce social volatility. But it directs attention toward damping the symptoms rather than asking who owns the systems that replace labor.

This is academically respectable anesthesia. It makes the old wage system's deterioration mathematically legible while leaving the ownership transition outside the frame. It does not need to be crude propaganda to perform that function; a narrow model can normalize a terminal condition simply by treating it as a stabilizable fluctuation.

The Verdict

This is a competent autopsy of pre-discontinuity labor-market rot, not a model of the terminal break. It shows how wage-share deterioration and opioid disorder can feed each other inside an economy that still depends on human labor. It does not explain what happens when that dependence is severed.

In DT terms, the paper stops before P1, never tests P2, and misreads P3 as a cyclical disturbance. Its policy solution preserves consumption and dampens instability. That is replacement management, not survival of the post-WWII productive order.

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