Abstract
This paper solves an aiming and evasion game in which a gunner with a number of shots attempts to hit an evader moving along the positivex-axis. The gunner's aiming of the evader is complicated by the fact that there is a delay due to the time taken for the shot to reach the evader from the gunner.
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References
Isaacs, R.,Some Fundamentals of Differential Games, Topics in Differential Games, Edited by A. Blaquiere, North-Holland Publishing Company, Amsterdam, Holland, 1973.
Lee, K. T.,A Firing Game with Time Lag, Journal of Optimization Theory and Applications, Vol. 41, No. 4, 1983.
McKinsey, J. C. C.,Introduction to the Theory of Games, McGraw-Hill Book Company, New York, New York, 1952.
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Communicated by G. Leitmann
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Lee, K.T. An evasion game with a destination. J Optim Theory Appl 46, 359–372 (1985). https://doi.org/10.1007/BF00939289
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DOI: https://doi.org/10.1007/BF00939289