A variational inequality approach to a class of environmental equilibrium problems

In this note we consider a class of environmental games recently proposed in the literature and study them with the powerful tools of variational inequalities. We also consider the case where some data of the problem can depend on a parameter and analyze the solution’s regularity with respect to the parameter. In view of applications to time- dependent or random models, we also introduce the variational inequality formulation in Lebesgue spaces.