Article ID: | iaor20063594 |
Country: | Netherlands |
Volume: | 169 |
Issue: | 1 |
Start Page Number: | 310 |
End Page Number: | 328 |
Publication Date: | Feb 2006 |
Journal: | European Journal of Operational Research |
Authors: | Fukushima Masao, Chen Lihua, Nie Pu-yan |
Keywords: | programming: dynamic |
Stackelberg games play an extremely important role in such fields as economics, management, politics and behavioral sciences. Stackelberg game can be modelled as a bilevel optimization problem. There exists extensive literature about static bilevel optimization problems. However, the studies on dynamic bilevel optimization problems are relatively scarce in spite of the importance in explaining and predicting some phenomena rationally. In this paper, we consider discrete time dynamic Stackelberg games with feedback information. Dynamic programming algorithms are presented for the solution of discrete time dynamic feedback Stackelberg games with multiple players both for independent followers and for dependent followers. When the followers act dependently, the game in this paper is a combination of Stackelberg game and Nash game.