Abstract
In this paper, we derive essentially nonunique closed-loop Nash equilibria for a class of nonzero-sum differential games with a unique and degenerated feedback Nash equilibrium.
Similar content being viewed by others
References
Clemhout, S., andWan, H. Y., Jr.,A Class of Trilinear Differential Games, Journal of Optimization Theory and Applications, Vol. 14, pp. 419–424, 1974.
Leitmann, G., andSchmitendorf, W.,Profit Maximization through Advertising: A Nonzero-Sum Differential Game Approach, IEEE Transactions on Automatic Control, Vol. AC-23, pp. 245–250, 1978.
Reinganum, J. F.,A Class of Differential Games for Which the Closed-Loop and Open-Loop Nash Equilibria Coincide, Journal of Optimization Theory and Applications, Vol. 36, pp. 253–262, 1982.
Basar, T., andOlsder, G. J.,Dynamic Noncooperative Game Theory, Academic Press, London, England, 1982.
Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, pp. 184–208, 1969.
Basar, T.,Informationally Nonunique Equilibrium Solutions in Differential Games, SIAM Journal on Control and Optimization, Vol. 15, pp. 636–660, 1977.
Leitmann, G., andStalford, H.,Sufficiency for Optimal Strategies in Nash Equilibrium Games, Techniques of Optimization, Edited by A. V. Balakrishnan, Academic Press, New York, New York, 1972.
Author information
Authors and Affiliations
Additional information
Communicated by G. Leitmann
The helpful comments of Professor G. Leitmann and three anonymous referees are gratefully acknowledged.
Rights and permissions
About this article
Cite this article
Mehlmann, A., Willing, R. On nonunique closed-loop Nash equilibria for a class of differential games with a unique and degenerated feedback solution. J Optim Theory Appl 41, 463–472 (1983). https://doi.org/10.1007/BF00935365
Issue Date:
DOI: https://doi.org/10.1007/BF00935365