References
N. Dunford, andJ. Schwartz,Linear Operators Part I, Interscience Publishers, Wiley and Sons, New York, 1966.
A. Friedman,Differential Games, Interscience Publishers, Wiley and Sons, New York, 1971.
D. L. Lukes, andD. L. Russell, A global theory for linear quadratic differential games,J. Math. Analysis Appl. 33, (1971), 96–123.
G. Owen,Game Theory, W. B. Saunders Co., Philadelphia, 1968.
R. C. Scalzo,N-person linear quadratic differential games with constraints,SIAM J. Control 12, (1974), 419–425.
P. Varaiya,N-person non-zero sum differential games with linear dynamics,SIAM J. Control,8, (1970), 441–449.
Author information
Authors and Affiliations
Additional information
Communicated by W. H. Fleming
Rights and permissions
About this article
Cite this article
Scalzo, R.C., Williams, S.A. On the existence of a Nash equilibrium point forN-person differential games. Appl Math Optim 2, 271–278 (1975). https://doi.org/10.1007/BF01464273
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01464273