**Baoline Chen and Peter A. Zadrozny ** (2001) "An Anticipative
Feedback Solution for the Infinite-Horizon, Linear-Quadratic, Dynamic, Stackelberg
Game."

This paper derives and illustrates a new suboptimal-consistent feedback solution for an infinite-horizon, linear-quadratic, dynamic, Stackelberg game. This solution lies in the same solution space as the infinite-horizon, dynamic-programming, feedback solution but puts the leader in a preferred equilibrium position. The idea comes from Kydland (1977) who suggested deriving a consistent feedback solution for an infinite-horizon, linear-quadratic, dynamic, Stackelberg game by varying the coefficients in the player's linear constant-coefficient decision rules. Here feedback is understood in the sense of setting a current control vector as a function of a predetermined state vector. The proposed solution is derived for discrete- and continuous-time games and is called the anticipative feedback solution. The solution is illustrated with a numerical example of a duopoly model.

- Download PDF version (235K)

For assistance on how to view PDF files.

**Last Modified Date: **July 19, 2008