TITLE:
A Variational Inequality Approach to a Class of Environmental Equilibrium Problems
AUTHORS:
Baasansuren Jadamba, Fabio Raciti
KEYWORDS:
Nash Equilibrium; Variational Inequalities; Environmental Games
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.11,
November
21,
2012
ABSTRACT: 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.