Variational Inequality Approach to Stochastic Nash Equilibrium Problems   with an Application to Cournot Oligopoly
  In this note we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems where the data are known through their probability distributions. 
Baasansuren Jadamba and Fabio Raciti
math.OC