Distributed optimal control models in environmental economics: a review

Emmanuelle Augeraud-Véron (1) , Raouf Boucekkine (2, 3, 4) , Vladimir Veliov (5)

1 GREThA - Groupe de Recherche en Economie Théorique et Appliquée
2 AMSE - Aix-Marseille Sciences Economiques
3 IMéRA - Institute for Advanced Studies - Aix-Marseille University
4 AMU - Aix Marseille Université
5 ORCOS, Vienna University of Technology

We review the most recent advances in distributed optimal control applied to Environmental Economics, covering in particular problems where the state dynamics are governed by partial differential equations (PDEs). This is a quite fresh application area of distributed optimal control, which has already suggested several new mathematical research lines due to the specificities of the Environmental Economics problems involved. We enhance the latter through a survey of the variety of themes and associated mathematical structures beared by this literature. We also provide a quick tour of the existing tools in the theory of distributed optimal control that have been applied so far in Environmental Economics.

Mots clés: Environmental economics; distributed systems; optimal control; partial differential equations

Domaines: Mathématiques [math]

Emmanuelle Augeraud-Véron, Raouf Boucekkine, Vladimir Veliov. Distributed optimal control models in environmental economics: a review. Mathematical Modelling of Natural Phenomena, 2019, 14 (1), pp.106. ⟨10.1051/mmnp/2019016⟩. ⟨hal-02194184⟩