A Game Theory Model of Convoy Routing

J. M. Danskin
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J. M. Danskin: Institute of Naval Studies, Cambridge, Massachusetts

Operations Research, 1962, vol. 10, issue 6, 774-785

Abstract: This paper considers a nonlinear two-person zero-sum game in which one of the players plays over the direct product of two spaces. In fact he allocates ships and escort vessels, separately, to various routes, and his antagonist allocates submarines to the various routes. Its interest lies first in the methodology connected with the curious nature of the one player's space, and second in its conclusions and some economic considerations related to them, for example the “virtual cost” of a route. The paper is a much condensed version of a paper done in 1953 for the Operations Evaluation Group of the Navy Department. The lengthy discussions and numerical computations in that paper have been deleted here, and the loss function taken slightly less general than there. The solution techniques are essentially the same.

Date: 1962
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