On Differentiability Properties of Player Convex Generalized Nash Equilibrium Problems∗

نویسندگان

  • Nadja Harms
  • Christian Kanzow
  • Oliver Stein
چکیده

This article studies differentiability properties for a reformulation of a player convex generalized Nash equilibrium problem as a constrained and possibly nonsmooth minimization problem. By using several results from parametric optimization we show that, apart from exceptional cases, all locally minimal points of the reformulation are differentiability points of the objective function. This justifies a numerical approach which basically ignores the possible nondifferentiabilities.

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تاریخ انتشار 2012