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Ray, A.; Blaquiere, A.

Sufficient conditions for optimality of threat strategies in a differential game. (English) Zbl 0419.90094

J. Optimization Theory Appl. 33, 99-109 (1981).
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Cited in 3 Documents

MSC:

91A23 Differential games (aspects of game theory)

Keywords:

Nash strategies; optimal threat strategies; sufficient conditions; nonzero-sum differential games
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Full Text: DOI

References:

[1] Nash, J. P.,Two-Person Cooperative Games, Econometrica, Vol. 21, pp. 128-140, 1953. · Zbl 0050.14102 · doi:10.2307/1906951
[2] Liu, P. T.,Optimal Threat Strategies in Differential Games, Journal of Mathematical Analysis and Applications, Vol. 43, No. 1, 1973. · Zbl 0264.90053
[3] Blaquiere, A.,Necessary and Sufficiency Conditions for Optimal Strategies in Impulsive Control, Differential Games and Control Theory, III, Edited by P. T. Liu and E. Roxin, Marcel Dekker, New York, New York, 1979. · Zbl 0428.49020
[4] Leitmann, G.,Cooperative and Noncooperative Differential Games, Multicriteria Decision Making, Edited by G. Leitmann and A. Marzollo, Springer-Verlag, New York, New York, 1975. · Zbl 0317.90069
[5] Blaquiere, A., Juricek, L., andWiese, K. E.,Geometry of Pareto Equilibria in N-Person Differential Games, Journal of Mathematical Analysis and Applications, Vol. 38, No. 1, 1972. · Zbl 0231.90077
[6] Blaquiere, A., Gerard, F., andLeitmann, G.,Quantitative and Qualitative Games, Academic Press, New York, New York, 1969.
[7] Liu, P. T.,Nonzero-Sum Differential Games with Bargaining Solutions, Journal of Optimization Theory and Applications, Vol. 11, No. 3, 1973. · Zbl 0241.90073
[8] Leitmann, G.,Sufficiency Theorems for Optimal Control, Journal of Optimization Theory and Applications, Vol. 2, No. 5, 1968. · Zbl 0175.39005
[9] Leitmann, G.,A Note on a Sufficiency Theorem for Optimal Control, Journal of Optimization Theory and Applications, Vol. 3, No. 1, 1969. · Zbl 0164.39903
[10] Leitmann, G., andSchmitendorf, W.,Some Sufficient Conditions for Pareto-Optimal Control, Journal of Dynamical Systems, Measurement, and Control, Vol. 95, No. 4, 1973. · Zbl 0298.49005
[11] Wang, G., andLeitmann, G.,Necessary and Sufficient Conditions for Multi-Stage Two-Person Zero-Sum Games, Journal of Optimization Theory and Applications, Vol. 4, No. 3, 1969.
[12] Stalford, H., andLeitmann, G.,On Integrals of a Class of Measurable Functions, Journal of the Franklin Institute, Vol. 290, No. 2, 1970. · Zbl 0291.49012
[13] Stalford, H., andLeitmann, G.,Sufficient Conditions for Optimality in Two-Person, Zero-Sum Differential Games with State and Strategy Constraints, Journal of Mathematical Analysis and Applications, Vol. 33, No. 3, 1971. · Zbl 0225.90055
[14] Stalford, H., andLeitmann, G.,Sufficient Conditions for Nash Equilibria in N-Person Differential Games, Topics in Differential Games, Edited by A. Blaquière, North-Holland Publishing Company, Amsterdam, Holland, 1973. · Zbl 0325.90075
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