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Maximin, viability and sustainability

Authors: Martinet, Vincent; Doyen, Luc;

Maximin, viability and sustainability

Abstract

Le critère du maximin définit le plus haut niveau d'utilité qui peut être soutenu dans une perspective d'équité intergénérationnelle. L'approche de viabilité caractérise toutes les trajectoires économiques le long desquelles un niveau d'utilité donnée, pas nécessairement maximal, est soutenu. Cet article met en évidence les liens forts entre maximin et viabilité : les auteurs montrent que la fonction valeur du maximin peut être caractérisée par un problème de viabilité, et que le sentier maximin est un sentier viable particulier. Ce résultat permet d'étendre les recommandations de l'approche de maximin au delà du cas d'optimalité, afin de caractériser la durabilité de sentiers de croissance qui diffèrent du maximin. Les auteurs soulignent que l'investissement net calculé aux prix "maximin" doit être positif pour maintenir les capacités productives de l'économie, que le sentier soit optimal ou pas. Ces résultats fournissent une nouvelle base théorique pour établir une comptabilité de la durabilité des économies sous optimales, basée sur les prix "maximin".

The maximin criterion defines the highest utility level that can be sustained in an intergenerational equity perspective. The viability approach makes it possible to characterize 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, and that the maximin path is a particular viable path. This result allows us to extend the recommendations of the maximin approach beyond optimality, to characterize the sustainability of economic trajectories which differ from the maximin path. Attention is especially paid to non-negative net investment at maximin accounting prices, which is shown to be necessary to maintain the productive capacity of the economy, whether the development path is optimal or not. Our results provide a new theoretical ground to account for sustainability in imperfect economies, based on maximin prices.

Keywords

viabilité, Sustainability, Maximin, Viability, Dynamics, Optimality, durabilité, [SHS.ECO]Humanities and Social Sciences/Economics and Finance, [SHS.ECO] Humanities and Social Sciences/Economics and Finance

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    45
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
45
Top 10%
Top 10%
Top 10%
bronze