Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers

Dynamic programming approach to discrete time dynamic feedback Stackelberg games with independent and dependent followers

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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: , ,
Keywords: programming: dynamic
Abstract:

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.

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