We analyze a macroeconomic model with intergenerational equity considerations and spatial spillovers, which gives rise to a multicriteria optimization problem. Intergenerational equity requires to add in the definition of social welfare a long run sustainability criterion to the traditional discounted utilitarian criterion. The spatial structure allows for the possibility of heterogeneiity and spatial diffusion implies that all locations within the spatial domain are interconnected via spatial spillovers. We rely on different techniques (scalarization, $$\epsilon $$ -constraint method and goal programming) to analyze such a spatial multicriteria problem, relying on numerical approaches to illustrate the nature of the trade-off between the discounted utilitarian and the sustainability criteria.

中文翻译：

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多标准宏观经济模型中的可持续性和空间溢出

我们分析了具有代际公平考虑和空间溢出效应的宏观经济模型，这导致了多标准优化问题。代际公平需要在传统的贴现功利标准的基础上，在社会福利的定义中增加一个长期可持续性标准。空间结构考虑到了异质性的可能性，空间扩散意味着空间域内的所有位置都通过空间溢出相互连接。我们依靠不同的技术（标量化、$$\epsilon $$ - 约束方法和目标规划）来分析这样一个空间多标准问题，依靠数值方法来说明贴现功利标准和可持续性标准之间权衡的性质.