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Joint Production Without Free Disposal: Sustainable Activity And Unsupportable Processes

Author

Listed:
  • Martin O'Connor

    (REEDS - Centre international de Recherches en Economie écologique, Eco-innovation et ingénierie du Développement Soutenable - UVSQ - Université de Versailles Saint-Quentin-en-Yvelines)

  • Robbie Andrew

    (NZCEE - New Zealand Centre for Ecological Economics)

Abstract

Investigations of long-run sustainability of joint ecological-economic systems highlight the pertinence of reconsidering "free disposal" assumptions that underpin Sraffian and von Neumann approaches to value and growth theory. We investigate joint-production time-paths for square systems A and B , defined by nonnegative activity vectors T T1 y , y + ,... for periods T, T +1, ... satisfying iteratively T T 1 y y+ B = A , etc. Necessary and sufficient for existence of indefinitely sustainable "full resource utilisation" time paths (Hicks), is the condition that U ≡ BA−1 have a non-negative left-eigenvector with associated non-negative eigenvalue. Sustainable time-paths may then be balanced growth at g > −1, or convergent oscillations, or undamped cycles. Processes are classified as "essential", "non-essential", or "unsupportable" for sustainable activity, based on considerations of eigenvector (non)-negativity and (in)decomposability of U .

Suggested Citation

  • Martin O'Connor & Robbie Andrew, 2010. "Joint Production Without Free Disposal: Sustainable Activity And Unsupportable Processes," Working Papers hal-00871780, HAL.
    • Handle: RePEc:hal:wpaper:hal-00871780
    Note: View the original document on HAL open archive server: https://hal.science/hal-00871780
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