Friday, 16:15 - 16:40 h, Room: H 0110

 

Dominik Dorsch
Local models in equilibrium optimization

Coauthors: Hubertus Th. Jongen, Vladimir Shikhman

 

Abstract:
We study equilibrium optimization from a structural point of view. For that, we consider equilibrium optimization problems up to the smooth coordinate transformations locally at their solutions. The latter equivalence relation induces classes of equilibrium optimization problems. We focus on the stable classes corresponding to a dense set of data functions. We prove that these classes are unique and call them "basic classes''. Their representatives in the simplest form are called local models. For particular realizations of equilibrium optimization problems basic classes and their local models are elaborated. The latter include bilevel optimization, general semi-infinite programming and Nash optimization.

 

Talk 3 of the invited session Fri.3.H 0110
"Structural aspects of global optimization" [...]
Cluster 9
"Global optimization" [...]

 

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