Monday, 16:15 - 16:40 h, Room: MA 313

 

Christian Kanzow
Nash equilibrium multiobjective elliptic control problems

Coauthor: Alfio Borzi

 

Abstract:
The formulation and the semismooth Newton solution of Nash equilibria
multiobjective elliptic optimal control problems are presented. Existence and
uniqueness of a Nash equilibrium is proved. The corresponding solution is
characterized by an optimality system that is approximated by second-order
finite differences and solved with a semismooth Newton scheme. It is
demonstrated that the numerical solution is second-order accurate and that
the semismooth Newton iteration is globally and locally quadratically
convergent. Results of numerical experiments confirm the theoretical
estimates and show the effectiveness of the proposed computational framework.

 

Talk 3 of the invited session Mon.3.MA 313
"Optimization and equilibrium problems II" [...]
Cluster 3
"Complementarity & variational inequalities" [...]

 

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