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A continuous submarine versus submarine game

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  • Eric Langford

Abstract

This paper analyzes, from a game‐theoretic standpoint, the simultaneous choice of speeds by a transitor and by an SSK which patrols back and forth perpendicular to the transitor's course. Using idealized acoustic assumptions and a cookie‐cutter detection model which ignores counterdetection, we are able to present the problem as a continuous game, and to determine an analytic solution. The results indicate that with these assumptions, there are conditions under which neither a “go fast” nor a “go slow” strategy is optimal. The game provides a good example of a continuous game with a nontrivial solution which can be solved effectively.

Suggested Citation

  • Eric Langford, 1973. "A continuous submarine versus submarine game," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 20(3), pages 405-417, September.
    • Handle: RePEc:wly:navlog:v:20:y:1973:i:3:p:405-417
    DOI: 10.1002/nav.3800200305
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    Cited by:

    1. Joseph Foraker & Seungho Lee & Elijah Polak, 2016. "Validation of a strategy for harbor defense based on the use of a min‐max algorithm receding horizon control law," Naval Research Logistics (NRL), John Wiley & Sons, vol. 63(3), pages 247-259, April.
    2. Roberto Szechtman & Moshe Kress & Kyle Lin & Dolev Cfir, 2008. "Models of sensor operations for border surveillance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 55(1), pages 27-41, February.

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