English

Collective management of environmental commons with multiple usages: a guaranteed viability approach

Optimization and Control 2022-05-31 v2

Abstract

In this paper we address the collective management of environmental commons with multiple usages in the framework of the mathematical viability theory. We consider that the stakeholders can derive from the study of their own socioeconomic problem the variables describing their different usages of the commons and its evolution, and a representation of the desirable states for the commons. We then consider the guaranteed viability kernel, subset of the set of desirable states where it is possible to maintain the state of the commons even when its evolution is represented by several conflicting models. This approach is illustrated on a problem of lake eutrophication.

Keywords

Cite

@article{arxiv.2107.02684,
  title  = {Collective management of environmental commons with multiple usages: a guaranteed viability approach},
  author = {Isabelle Alvarez and Laetitia Zaleski and Jean-Pierre Briot and Marta de Azevedo Irving},
  journal= {arXiv preprint arXiv:2107.02684},
  year   = {2022}
}

Comments

25 pages, 5 figures Viability theory reminder in appendix, a diagram and references added