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Differential games of prescribed duration

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Abstract

A simple condition which assures the existence of the saddle point is derived for nonlinear differential games of prescribed duration. It is shown that this condition removes the possibility of a kind of singularity which is a source of many troublesome phenomena in differential games.

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References

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Communicated by P. P. Varaiya

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Kimura, H. Differential games of prescribed duration. J Optim Theory Appl 8, 431–440 (1971). https://doi.org/10.1007/BF00932651

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  • DOI: https://doi.org/10.1007/BF00932651

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