On generalized Nash games and variational inequalities

  • Authors:
  • Francisco Facchinei;Andreas Fischer;Veronica Piccialli

  • Affiliations:
  • Department of Computer and System Sciences "A. Ruberti", Universití di Roma "La Sapienza", Via Buonarroti 12, Rome 00185, Italy;Institute of Numerical Mathematics, Technische Universität Dresden, 01062 Dresden, Germany;Department of Computer and System Sciences "A. Ruberti", Universití di Roma "La Sapienza", Via Buonarroti 12, Rome 00185, Italy

  • Venue:
  • Operations Research Letters
  • Year:
  • 2007

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Abstract

We show that for a large class of problems a generalized Nash equilibrium can be calculated by solving a variational inequality. We analyze what solutions are found by this reduction procedure and hint at possible applications.