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On Stochastic Variational Inequalities with Mean Value Constraints

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Abstract

In this note, we consider a class of variational inequalities on probabilistic Lebesgue spaces, where the constraints are satisfied on average, and provide an approximation procedure for the solutions. As an application, we investigate the Nash–Cournot oligopoly problem with uncertain data and compare the solutions obtained when the constraints are satisfied on average with the ones obtained when the constraints are satisfied almost surely.

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Acknowledgments

The work of one of the authors, F.R., has been partially supported by GNAMPA-INdAM.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy

    Francesca Faraci & Fabio Raciti

  2. Center for Applied and Computational Mathematics, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York, 14623, USA

    Baasansuren Jadamba

Authors
  1. Francesca Faraci
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  2. Baasansuren Jadamba
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  3. Fabio Raciti
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Correspondence to Francesca Faraci.

Additional information

Communicated by Fabian Flores-Bazàn.

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Faraci, F., Jadamba, B. & Raciti, F. On Stochastic Variational Inequalities with Mean Value Constraints. J Optim Theory Appl 171, 675–693 (2016). https://doi.org/10.1007/s10957-016-0888-z

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