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

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