Geodesic
Optimal Strategy for the Game ``Sea Battle'': Search and Analysis
Matematičeskoe obrazovanie, Tome 24 (2003) no. 1, pp. 2-18.

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In the paper, the well-known children game “Sea Battle” which is a version of the classical problem of detecting fixed objects is analyzed. The probabilities of detecting several ships by a finite number of shots are calculated. For the case of two one-squared ships the matrix of the game is constructed. 
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     author = {A. F. Lyakhov},
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A. F. Lyakhov. Optimal Strategy for the Game ``Sea Battle'': Search and Analysis. Matematičeskoe obrazovanie, Tome 24 (2003) no. 1, pp. 2-18. http://geodesic.mathdoc.fr/item/MO_2003_24_1_a0/