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Zbl 0696.90086
Bard, J.F.
Some properties of the bilevel programming problem. (English)
[J] J. Optimization Theory Appl. 68, No.2, 371-378 (1991). ISSN 0022-3239; ISSN 1573-2878/e

The purpose of this paper is to elaborate on the difficulties accompanying the development of efficient algorithms for solving the bilevel programming problem (BLPP). We begin with a pair of examples showing that, even under the best of circumstances, solutions may not exist. This is followed by a proof that the BLPP is NP-hard.
[J.F.Bard]
MSC 2000:
*90C99 Mathematical programming
91A05 2-person games
90C60 Abstract computational complexity for math. programming problems
93A13 Hierarchical systems

Keywords: Stackelberg games; bilevel programming

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