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A solution method for the static constrained Stackelberg problem via penalty method

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2 Author(s)
E. Aiyoshi ; Keio University, Yokohama, Japan ; K. Shimizu

This note presents a new solution method for the static constrained Stackelberg problem. Through our approach, the Stackelberg problem is completely transformed into a one-level unconstrained problem such that the newly introduced overall augmented objective function is minimized with repect to the leader's and the follower's variables jointly. It can be proved that a sequence of solutions to the transformed problems converges to the solution of the original problem, when the penalty parameters are updated.

Published in:

IEEE Transactions on Automatic Control  (Volume:29 ,  Issue: 12 )