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Published in:
2012 | OriginalPaper | Chapter
Bilevel Optimization
Author : Vladimir Shikhman
Published in: Topological Aspects of Nonsmooth Optimization
Publisher: Springer New York
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We study bilevel optimization problems from the optimistic perspective. The case of one-dimensional leader’s variable is considered. Based on the classification of generalized critical points in one-parametric optimization, we describe the generic structure of the bilevel feasible set. Moreover, optimality conditions for bilevel problems are stated. In the case of higher-dimensional leader’s variable, some bifurcation phenomena are discussed. The links to the singularity theory are elaborated.