Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Hydroacoustic Adversarial Strategy Based on the Matrix Game Theory

Version 1 : Received: 10 August 2023 / Approved: 10 August 2023 / Online: 11 August 2023 (07:59:21 CEST)
Version 2 : Received: 11 November 2023 / Approved: 13 November 2023 / Online: 14 November 2023 (07:54:08 CET)

How to cite: Zhao, H.; Cheng, H.; Chen, Y. A Hydroacoustic Adversarial Strategy Based on the Matrix Game Theory. Preprints 2023, 2023080885. https://doi.org/10.20944/preprints202308.0885.v1 Zhao, H.; Cheng, H.; Chen, Y. A Hydroacoustic Adversarial Strategy Based on the Matrix Game Theory. Preprints 2023, 2023080885. https://doi.org/10.20944/preprints202308.0885.v1

Abstract

Aiming at the decision-making problem in the anti-torpedo hydroacoustic countermeasure scenarios, this paper proposes an intelligent adversarial strategy based on the game theory. By discretizing the strategy space of both sides, a matrix game model is established with the payoff characterized by the capture probability of attacking torpedo. An improved simplex algorithm is developed to get the mixed-strategy Nash equilibrium of the game model, by which preferred avoiding strategies can be obtained to minimize the risk of being captured by the attacking torpedo. Considering the urgent stage when the sonar equipment detects the torpedo without identification of its attacking direction, the proposed intelligent strategy provides an probabilistic overview on the countermeasure scenarios, which could improve the success capability of surface warships for the anti-torpedo cases.

Keywords

hydroacoustic countermeasure; game theory; Gaussian distribution; linear programming; simplex method

Subject

Computer Science and Mathematics, Applied Mathematics

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