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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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    Cited by:

    1. 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).
    2. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    3. Diop, Bassirou & Sanz, Nicolas & Duplan, Yves Jamont Junior & Guene, El Hadji Mama & Blanchard, Fabian & Pereau, Jean-Christophe & Doyen, Luc, 2018. "Maximum Economic Yield Fishery Management in the Face of Global Warming," Ecological Economics, Elsevier, vol. 154(C), pages 52-61.
    4. Helene Gomes & Luc Doyen & Fabian Blanchard & Adrien Lagarde, 2021. "Viable and ecosystem-based management for tropical small-scale fisheries facing climate change," Bordeaux Economics Working Papers 2021-24, Bordeaux School of Economics (BSE).
    5. Lauriane Mouysset & Luc Doyen & François Léger & Frédéric Jiguet & Tim G. Benton, 2018. "Operationalizing Sustainability as a Safe Policy Space," Sustainability, MDPI, vol. 10(10), pages 1-9, October.
    6. Esther Regnier & Michel de Lara, 2015. "Robust Viable Analysis of an Ecosystem Model," PSE-Ecole d'économie de Paris (Postprint) halshs-00786409, HAL.
    7. Cairns, Robert D. & Martinet, Vincent, 2021. "Growth and long-run sustainability," Environment and Development Economics, Cambridge University Press, vol. 26(4), pages 381-402, August.
    8. Cairns, Robert D. & Martinet, Vincent, 2014. "An environmental-economic measure of sustainable development," European Economic Review, Elsevier, vol. 69(C), pages 4-17.
    9. Pedro Gajardo & Luc Doyen, 2018. "Viability standards and multi-criteria maximin," Cahiers du GREThA (2007-2019) 2018-04, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    10. 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.
    11. Cairns, Robert D. & Tian, Huilan, 2010. "Sustained development of a society with a renewable resource," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1048-1061, June.
    12. Luc Doyen & Christophe Béné, 2018. "A generic metric of resilience from resistance to transformation," Cahiers du GREThA (2007-2019) 2018-03, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    13. Michel de Lara & Vincent Martinet & Luc Doyen, 2015. "Satisficing versus optimality: criteria for sustainability," Post-Print hal-01123050, HAL.
    14. 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.
    15. Phoebe Koundouri & Georgios I. Papayiannis & Athanasios Yannacopoulos, 2022. "Optimal Control Approaches to Sustainability under Uncertainty," DEOS Working Papers 2215, Athens University of Economics and Business.
    16. Geir B. Asheim & Tapan Mitra, 2021. "Characterizing sustainability in discrete time," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(2), pages 461-481, March.
    17. repec:mse:cesdoc:13006r is not listed on IDEAS
    18. Fleurbaey, Marc, 2015. "On sustainability and social welfare," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 34-53.
    19. Schuhbauer, Anna & Sumaila, U. Rashid, 2016. "Economic viability and small-scale fisheries — A review," Ecological Economics, Elsevier, vol. 124(C), pages 69-75.

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    More about this item

    Keywords

    Sustainability; Maximin; Viability; Dynamics; Optimality;
    All these keywords.

    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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