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The Falling Rate of Profit under Fixed Capital and Stable Labor Shares

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  • Jiyuan Lyu

Abstract

This paper incorporates fixed capital into a multi-sectoral input-output model to reassess the Okishio Theorem. We establish the existence of a critical wage elasticity strictly less than unity, beyond which cost-reducing technical progress leads to a declining equilibrium rate of profit. This implies that profit rates may fall even under Kaldor's Stylized Facts or a moderately declining labour share, significantly extending the theorem's domain of validity. Game-theoretic analysis reveals a strict Prisoner's Dilemma structure underlying technical adoption. Empirical evidence from Chinese industrial data confirms that fixed capital intensity exerts a significant dampening effect on the profit-enhancing impact of productivity growth.

Suggested Citation

  • Jiyuan Lyu, 2025. "The Falling Rate of Profit under Fixed Capital and Stable Labor Shares," Papers 2509.11538, arXiv.org, revised Mar 2026.
  • Handle: RePEc:arx:papers:2509.11538
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    References listed on IDEAS

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    1. Roemer, John E, 1979. "Continuing Controversy on the Falling Rate of Profit: Fixed Capital and Other Issues," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 3(4), pages 379-398, December.
    2. Deepankar Basu & Ramaa Vasudevan, 2013. "Technology, distribution and the rate of profit in the US economy: understanding the current crisis," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 37(1), pages 57-89.
    3. Peter Flaschel & Peter Skott, 2006. "Steindlian Models Of Growth And Stagnation," Metroeconomica, Wiley Blackwell, vol. 57(3), pages 303-338, July.
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