Abstract
A solution of the deterministic two-person closed-loop Stackelberg game with linear dynamics and quadratic cost functions has been discussed, with the emphasis made on interpretation of the proposed Stackelberg strategies. The basic result has been formulated for the game with the leader perfectly dominating the follower, and then various extensions of this result for more general games have been outlined. It should be noted, that although a considerable progress in the study of closed-loop Stackelberg games has recently been achieved, many aspects of the theory, especially those concerned with continuous-time and multiperson problems, require further investigation.
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References
Basar T., Selbuz H., A new Approach for Derivation of Closed-Loop Stackelberg Strategies. Proc. IEEE Conf. on Decision and Control, San Diego (Jan. 1979).
Basar T., Selbuz H., Closed-loop Stackelberg Strategies with Applications in the Optimal Control of Multi-level Systems. IEEE Trans. on Automatic Control vol.AC-24: 1979 No.2.
Basar T., Olsder G.J., Team-optimal Closed-loop Stackelberg Strategies in Hierarchical Control Problems. Memo. No. 242, Twente Univ. of Technology, 1979 r.
Chen C.I., Cruz J.B. Jr., Stackelberg Solution for Two-Person Games with Biased Information Patterns. IEEE Trans. on Automatic Control vol. AC-17: 1972 No.6
Kwakernaak H., Sivan R., Linear Optimal Control Systems. New York: Wiley-Interscience 1972.
Papavassilopoulos G.P., Cruz J.B.Jr., Sufficient Conditions for Stackelberg and Nash Strategies with Memory. J. Optimiz. Theory a. Applications to appear.
Tołwiński B., Closed-loop Stackelberg Solution to Multistage Linear-Quadratic Game. Systems Research Institute, Report ZTSW-64/79, March 1979 r.
Tołwiński B., Closed-Loop Stackelberg Solution to Multistage Linear-Quadratic Game. J. Optimiz. Theory a. Applications (to appear).
Tołwiński B., Closed-loop Stackelberg Strategies for Differential Games. Systems Research Institute, Report ZTSW-64/79, June 1979 r.
Tołwiński B., Information and Dominant Player Solutions in Linear-Quadratic Dynamic Games. Systems Research Institute, Report ZTSW-64/79, September 1979.
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© 1980 Springer-Verlag
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Tołwiński, B. (1980). Closed-loop stackelberg solution and threats in dynamic games. In: Iracki, K., Malanowski, K., Walukiewicz, S. (eds) Optimization Techniques. Lecture Notes in Control and Information Sciences, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0036401
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DOI: https://doi.org/10.1007/BFb0036401
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