##
**Bilevel and multilevel programming: A bibliography review.**
*(English)*
Zbl 0822.90127

Summary: This paper contains a bibliography of all references central to bilevel and multilevel programming that the authors know of. It should be regarded as a dynamic and permanent contribution since all the new and appropriate references that are brought to our attention will be periodically added to this bibliography. Readers are invited to suggest such additions, as well as corrections or modifications, and to obtain a copy of the LaTeX and BibTeX files that constitute this manuscript, using the guidelines contained in this paper.

To classify some of the references in this bibliography a short overview of past and current research in bilevel and multilevel programming is included. For those who are interested in but unfamiliar with the references in this area, we hope that this bibliography facilities and encourages their research.

To classify some of the references in this bibliography a short overview of past and current research in bilevel and multilevel programming is included. For those who are interested in but unfamiliar with the references in this area, we hope that this bibliography facilities and encourages their research.

### MSC:

90C30 | Nonlinear programming |

90-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to operations research and mathematical programming |

91A65 | Hierarchical games (including Stackelberg games) |

93A13 | Hierarchical systems |

### Keywords:

static Stackelberg problems; hierarchical optimization; minimax problems; bilevel programming; bibliography; multilevel programming### Software:

Algorithm 728
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\textit{L. N. Vicente} and \textit{P. H. Calamai}, J. Glob. Optim. 5, No. 3, 291--306 (1994; Zbl 0822.90127)

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### References:

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