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Maximin, Viability and Sustainability

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  • Vincent Martinet
  • Luc Doyen

Abstract

The maximin criterion defines the highest utility level which can be sustained in an intergenerational equity perspective. The viability approach characterizes all the economic trajectories sustaining a given, not necessarily maximal, utility level. In this paper, we exhibit the strong links between maximin and viability: We show that the value function of the maximin problem can be obtained in the viability framework via a static optimization problem under constraints. This result allows us to extend the maximin approach beyond optimality and characterize the sustainability of other economic trajectories. In particular, we show how the maximin value and viability kernel can be combined as sustainability indicators along any economic trajectory. Attention is especially paid to positive net investment at maximin prices, which is shown to be necessary to maintain the productive capacities of the economy. The Dasgupta-Heal-Solow model illustrates the assertions.

Suggested Citation

  • Vincent Martinet & Luc Doyen, 2010. "Maximin, Viability and Sustainability," EconomiX Working Papers 2010-19, University of Paris Nanterre, EconomiX.
  • Handle: RePEc:drm:wpaper:2010-19
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Cairns, Robert D. & Martinet, Vincent, 2014. "An environmental-economic measure of sustainable development," European Economic Review, Elsevier, vol. 69(C), pages 4-17.
    2. Pedro Gajardo & Luc Doyen, 2018. "Viability standards and multi-criteria maximin," Cahiers du GREThA 2018-04, Groupe de Recherche en Economie Théorique et Appliquée.
    3. repec:mse:cesdoc:13006r is not listed on IDEAS
    4. Stergios Athanasoglou & Valentina Bosetti & Laurent Drouet, 2017. "A Simple Framework for Climate-Change Policy under Model Uncertainty," Working Papers 2017.13, Fondazione Eni Enrico Mattei.
    5. Robert D. Cairns & Stellio Del Campo & Vincent Martinet, 2016. "Sustainability of an economy relying on two reproducible assets," Working Papers 2016/03, INRA, Economie Publique.
    6. L. Doyen & A. Cissé & S. Gourguet & L. Mouysset & P.-Y. Hardy & C. Béné & F. Blanchard & F. Jiguet & J.-C. Pereau & O. Thébaud, 2013. "Ecological-economic modelling for the sustainable management of biodiversity," Computational Management Science, Springer, vol. 10(4), pages 353-364, December.
    7. Cissé, A.A. & Doyen, L. & Blanchard, F. & Béné, C. & Péreau, J.-C., 2015. "Ecoviability for small-scale fisheries in the context of food security constraints," Ecological Economics, Elsevier, vol. 119(C), pages 39-52.
    8. Athanasoglou, Stergios & Bosetti, Valentina & Drouet, Laurent, 2017. "A Simple Framework for Climate-Change Policy under Model Uncertainty," MITP: Mitigation, Innovation and Transformation Pathways 254043, Fondazione Eni Enrico Mattei (FEEM).
    9. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    10. Geir B. Asheim & Tapan Mitra, 2018. "Characterizing Sustainability in Discrete Time," CESifo Working Paper Series 7206, CESifo Group Munich.
    11. Luc Doyen & Christophe Béné, 2018. "A generic metric of resilience from resistance to transformation," Cahiers du GREThA 2018-03, Groupe de Recherche en Economie Théorique et Appliquée.
    12. Schuhbauer, Anna & Sumaila, U. Rashid, 2016. "Economic viability and small-scale fisheries — A review," Ecological Economics, Elsevier, vol. 124(C), pages 69-75.

    More about this item

    Keywords

    Sustainability; Maximin; Viability; Dynamics; Optimality;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • Q01 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Sustainable Development
    • Q56 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Environment and Development; Environment and Trade; Sustainability; Environmental Accounts and Accounting; Environmental Equity; Population Growth

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