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.
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Communicated by Roland Glowinski.
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Jadamba, B., Raciti, F. Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly. J Optim Theory Appl 165, 1050–1070 (2015) doi:10.1007/s10957-014-0673-9
- Stochastic Nash equilibrium
- Cournot oligopoly
- Stochastic variational inequalities
- Monotone operator
Mathematics Subject Classification