Séminaire sur les jeux dynamiques et les applications

Hybrid dynamics of a resource exploitation game

Fabio Lamantia – Universitá della Calabria, Italie

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ID de réunion : 841 3695 9888
Code secret : 120834

We analyze a bio-economic game of exploitation of renewable resources. To take into account the typically continuous-time modeling of biological species and, instead, of the specialized harvesting activities, which by its nature cannot change continuously, the resulting dynamic system is of the hybrid type, i.e., continuous for biological variables and discrete for the economic ones. Through a discretization of the continuous variables, the problem is then reformulated by means of a three-dimensional map. We study the dynamic properties of this map to understand how economic parameters influence the long-run availability of resources.