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| dc.contributor.author | Zewde, Addis Belete | |
| dc.contributor.author | Kassa, Semu Mityiku | |
| dc.date.accessioned | 2021-08-29T12:10:51Z | |
| dc.date.available | 2021-08-29T12:10:51Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Zewde, A. B. and Kassa, S. M. (2021) Multi-parametric approach for multilevel multi-leader-multi-follower games using equivalent reformulations. Journal of Mathematical and Computational Science, 11(3), 2955-2980. https://doi.org/10.28919/jmcs/5641 | en_US |
| dc.identifier.issn | 19275307 | |
| dc.identifier.uri | http://repository.biust.ac.bw/handle/123456789/326 | |
| dc.description.abstract | Multilevel multi-leader multi-follower games address compromises among multiple interacting decision agents within a hierarchical system in which multiple followers are involved at each lower-level unit and more than one decision maker (multiple leaders) are involved in the upper-level. The leaders' decisions are affected not only by reactions of the followers but also by various relationships among the leaders themselves. In general, multiple-leaders multiple-followers (MLMF) game serve as an important modeling tool in game theory with many applications in economics, engineering, operations research and other fields. In this paper, we have reformulated a multilevel-MLMF game into an equivalent multilevel single-leader multi-follower (SLMF) game by introducing a suppositional (or dummy) leader, and hence the multiple leaders in the original problem become followers in the second level. If the resulting multilevel-SLMF game consists of separable terms and parameterized common terms across all the followers, then the problem is further transformed into equivalent multilevel programs having a single leader and single follower at each level of the hierarchy. The proposed solution approach can solve multilevel multi-leader multi-follower problems whose objective values at all levels have common but having different positive weights of non-separable terms. This result improves the work of Kulkarni and Shanbhag (2015). | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | SCIK Publishing Corporation | en_US |
| dc.subject | Multilevel programming | en_US |
| dc.subject | Multi-leader multi-follower | en_US |
| dc.subject | Nash equilibrium | en_US |
| dc.subject | Multi-parametric programming | en_US |
| dc.subject | Equivalent reformulation | en_US |
| dc.subject | Branch-and-bound | en_US |
| dc.title | Multi-parametric approach for multilevel multi-leader-multi-follower games using equivalent reformulations | en_US |
| dc.description.level | phd | en_US |
| dc.description.accessibility | unrestricted | en_US |
| dc.description.department | mss | en_US |
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