On the Stackelberg strategy in nonzero-sum games

M. Simaan; J. B. Cruz

doi:10.1007/bf00935665

journal article May 01, 1973

On the Stackelberg strategy in nonzero-sum games

M. Simaan J. B. Cruz

Journal of Optimization Theory and Applications Vol. 11 No. 5 pp. 533-555 · Springer Science and Business Media LLC

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References

14

[1]

Nash, J. F.,Non-Cooperative Games, Annals of Mathematics, Vol. 54, No. 2, 1951. 10.2307/1969529

[2]

Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 3, 1969. 10.1007/bf00929443

[3]

Starr, A. W., andHo, Y. C.,Further Properties of Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 4, 1969. 10.1007/bf00926523

[4]

Von Stackelberg, H.,The Theory of the Market Economy, Oxford University, Press, Oxford, England, 1952.

[5]

Cohen, K. J., andCyert, R. M.,Theory of the Firm: Resource Allocation in a Market Economy, Prentice Hall, Englewood Cliffs, New Jersey, 1965.

[6]

Intrilligator, M. D.,Mathematical Optimization and Economic Theory, Prentice-Hall, Englewood Cliffs, New Jersey, 1971.

[7]

Chen, C. I., andCruz, J. B., Jr.,Stackelberg Solution for Two-Person Games with Biased Information Patterns, IEEE Transactions on Automatic Control, Vol. AC-17, No. 5, 1972. 10.1109/tac.1972.1100179

[8]

Starr, A. W.,Nonzero-Sum Differential Games: Concepts and Models, Harvard University, Division of Engineering and Applied Physics, TR No. 590, 1969.

[9]

Lukes, D. L., andRussel, D. L.,A Global Theory for Linear Quadratic Differential Games, Journal of Mathematical Analysis and Applications, Vol. 33, No. 1, 1971. 10.1016/0022-247x(71)90185-5

[10]

Lukes, D. L.,Equilibrium Feedback Control in Linear Games with Quadratic Costs, SIAM Journal on Control, Vol. 9, No. 2, May 1971. 10.1137/0309018

[11]

Vulikh, B. Z.,Introduction to Functional Analysis, Addison Wesley Publishing Company, Reading, Massachusetts, 1963.

[12]

Ho, Y. C., Bryson, A. E., Jr., andBaron, S.,Differential Games and Optimal Pursuit-Evasion Strategies, IEEE Transactions on Automatic Control, Vol. AC-10, No. 4, 1965. 10.1109/tac.1965.1098197

[13]

Foley, M. H., andSchmitendorf, W. E.,On a Class of Nonzero-Sum Linear Quadratic Differential Games, Journal of Optimization Theory and Applications, Vol. 7, No. 5, 1971. 10.1007/bf00933999

[14]

Krikelis, N. J., andRekasius, Z. V.,On the Solution of the Optimal Linear Control Problems Under Conflict of Interest, IEEE Transactions on Automatic Control, Vol. AC-16, No. 2, 1971. 10.1109/tac.1971.1099685

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Published: May 01, 1973
Vol/Issue: 11(5)
Pages: 533-555
License: View

Authors

Cite This Article

M. Simaan, J. B. Cruz (1973). On the Stackelberg strategy in nonzero-sum games. Journal of Optimization Theory and Applications, 11(5), 533-555. https://doi.org/10.1007/bf00935665

On the Stackelberg strategy in nonzero-sum games

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