STACKELBERG-NASH EQUILIBRIUM FOR MULTILEVEL PROGRAMMING WITH MULTIPLEFOLLOWERS USING GENETIC ALGORITHMS

Authors
LIU BD
Citation
Bd. Liu, STACKELBERG-NASH EQUILIBRIUM FOR MULTILEVEL PROGRAMMING WITH MULTIPLEFOLLOWERS USING GENETIC ALGORITHMS, Computers & mathematics with applications (1987), 36(7), 1998, pp. 79-89
Citations number
28
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications (1987) → ACNP
ISSN journal
08981221
Volume
36
Issue
7
Year of publication
1998
Pages
79 - 89
Database
ISI
SICI code
0898-1221(1998)36:7<79:SEFMPW>2.0.ZU;2-O
Abstract
Multilevel programming offers a means of studying decentralized noncoo perative decision systems. Unfortunately, multilevel programming is la cking efficient algorithms due to its computational difficulties such as nonconvexity and NP-hardness. This paper will design a genetic algo rithm for solving Stackelberg-Nash equilibrium of nonlinear multilevel programming with multiple followers in which there might be informati on exchange among the followers. As a byproduct, we obtain a means for solving classical minimax problems. Finally, some numerical examples are provided to illustrate the effectiveness of the proposed genetic a lgorithm. (C) 1998 Elsevier Science Ltd. All rights reserved.