Deception in multi-attacker security game with nonfuzzy and fuzzy payoffs

Iranian Journal of Numerical Analysis and Optimization

مقاله 4، دوره 12، Issue 3 (Special Issue) - On the occasion of the 75th birthday of Professor A. Vahidian and Professor F. Toutounian - شماره پیاپی 23، بهمن 2022، صفحه 542-566   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2022.71302.1046

نویسندگان

S. Esmaeeli¹؛ H. Hassanpour^{* 1}؛ H. Bigdeli²

¹Department of Mathematics, University of Birjand, Birjand, I.R. of Iran.

²Researcher, Institute for the Study of War, Command and Staff University, Tehran, I.R. of Iran army.

چکیده

There is significant interest in studying security games for defense op-timization and reducing the effects of attacks on various security systems involving vital infrastructures, financial systems, security, and urban safe-guarding centers. Game theory can be used as a mathematical tool to maximize the efficiency of limited security resources. In a game, players are smart, and it is natural for each player (defender or attacker) to try to deceive the opponent using various strategies in order to increase his payoff. Defenders can use deception as an effective means of enhancing security protection by giving incorrect information, hiding specific security resources, or using fake resources. However, despite the importance of de-ception in security issues, there is no considerable research on this field, and most of the works focus on deception in cyber environments. In this paper, a mixed-integer linear programming problem is proposed to allocate forces efficiently in a security game with multiple attackers using game the-ory analysis. The important subjects of information are their credibility and reliability. Especially when the defender uses deceptive defense forces, there are more ambiguity and uncertainty. Security game with Z-number payoffs is considered to apply both ambiguities in the payoffs and the reli-ability of earning these payoffs. Finally, the proposed method is illustrated by some numerical examples.

کلیدواژه‌ها

Security game؛ Deceptive resource؛ Mixed-integer program-ming؛ Fuzzy theory؛ Z-number

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