Author(s)

Baasansuren Jadamba, Fabio Raciti

Department of Mathematics and Computer Science, University of Catania, Catania, Italy.
School of Mathematical Sciences, Rochester Institute of Technology, Rochester, USA.

In this note we consider a class of environmental games recently proposed in the literature and investigate them by using 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 regularity of the solution 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.

Nash Equilibrium; Variational Inequalities; Environmental Games

B. Jadamba and F. Raciti, "A Variational Inequality Approach to a Class of Environmental Equilibrium Problems," Applied Mathematics, Vol. 3 No. 11, 2012, pp. 1723-1728. doi: 10.4236/am.2012.311238.