Published January 1, 2011 | Version v1
Journal article Open

Equilibrium problems and generalized Nash games

  • 1. Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil
  • 2. Univ Nacl Ingn, Inst Matemat & Ciencias Afines, Lima, Peru

Description

In this article, we use Ky Fan's lemma to obtain a new existence result for equilibrium problems which does not invoke monotonicity of the objective function. Then we focus on reformulating of generalized Nash equilibrium problems (GNEPs) in terms of an equilibrium problem under reasonable assumptions. Finally, using our existence result and the reformulation, we obtain an existence result for GNEPs.

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