This paper deals with sustainability criteria and standards. The maximin criterion, as the highest performance that can be sustained over time, promotes intergenerational equity, a pivotal issue for sustainability. The viable control approach, by investigating trajectories and actions complying over time with various standards and constraints, provides major insights into strong sustainability. The present paper addresses the links between maximin and viability approaches in a multicriteria context. It first shows how “Pareto maximin” can be characterized through viability kernels. Such a result makes it possible to determine the trade‐offs and/or synergies between nonsubstitutable economic and ecological standards underlying strong sustainability. The second main result of the paper is to propose algorithms derived from the viability version of dynamic programming to approximate numerically Pareto maximin values, controls, and sustainability standards. Two examples relying on renewable resource management illustrate these analytic and numerical findings. In particular, synergies between sustainability standards of resource conservation, production or profitability are identified for overexploited stocks.

中文翻译：

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可持续性标准，多准则最大化和可行性

本文涉及可持续性标准和准则。maximin标准是随着时间的推移可以保持的最高性能，它可以促进代际公平，这是可持续性的关键问题。通过调查随时间推移遵守各种标准和约束条件的轨迹和行动，可行的控制方法可为强大的可持续性提供重要见解。本文探讨了在多准则环境下最大化方法和可行性方法之间的联系。它首先显示了如何通过生存力内核来表征“帕累托马克西姆”。这样的结果使得确定不可替代的经济和生态标准在强大的可持续性之间的取舍和/或协同作用成为可能。本文的第二个主要结果是提出了从动态规划的可行性版本中衍生的算法，以在数值上近似Pareto maximin值，控件和可持续性标准。依靠可再生资源管理的两个例子说明了这些分析和数值发现。特别是，对于过度开发的存货，确定了资源节约，生产或获利能力的可持续性标准之间的协同作用。