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Necessary and Sufficient Condition for Two-Player Stackelberg Strategy


Abstract:

This technical note revisits the open-loop Stackelberg strategy for a two-player game. By introducing a new costate, which captures the future information of the control ...Show More

Abstract:

This technical note revisits the open-loop Stackelberg strategy for a two-player game. By introducing a new costate, which captures the future information of the control input, we present a necessary and sufficient condition for the existence and uniqueness of the two-player game. The optimal strategy is designed in terms of three decoupled and symmetric Riccati equations which improves the existing results greatly on computation.
Published in: IEEE Transactions on Automatic Control ( Volume: 60, Issue: 5, May 2015)
Page(s): 1356 - 1361
Date of Publication: 08 August 2014

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