A Variational Inequality Approach to a Class of Environmental Equilibrium Problems

• 作者: Baasansuren Jadamba Fabio Raciti
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: NASH Equilibrium VARIATIONAL INEQUALITIES ENVIRONMENTAL GAMES
• 年，卷（期）: 2012,（11）
• 页码范围: 1723-1728
• 页数: 6页
• 分类号: O1

摘要

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.