Optimal defense strategy based on the mean field game model for cyber security
With the evolution of research on defense strategies in cyber security, the choice of an optimal strategy has become a key problem in current studies. Focusing on the balance between individual cost and overall network cost, we present an application of mean field game in large-scale defenders in cy...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-02-01
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| Series: | International Journal of Distributed Sensor Networks |
| Online Access: | https://doi.org/10.1177/1550147719831180 |
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| _version_ | 1832547246769438720 |
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| author | Li Miao Lina Wang Shuai Li Haitao Xu Xianwei Zhou |
| author_facet | Li Miao Lina Wang Shuai Li Haitao Xu Xianwei Zhou |
| author_sort | Li Miao |
| collection | DOAJ |
| description | With the evolution of research on defense strategies in cyber security, the choice of an optimal strategy has become a key problem in current studies. Focusing on the balance between individual cost and overall network cost, we present an application of mean field game in large-scale defenders in cyber security, where players seek to construct an optimal defense strategy at their minimum cost. The contributions are threefold: first, we propose an individual cost function based on the mean field game in Hilbert space and discuss the overall network cost function, where each player has discrete-time dynamics. Then, the Nash equilibrium of the individual cost function with infinite players is researched. Finally, we establish an optimal condition in which the game equilibrium is the optimal solution to the overall cost function. Numerical examples are provided to illustrate the effectiveness of the presented strategy with an appropriate assumption. |
| format | Article |
| id | doaj-art-af56beefad854fc2aa1266b0368026fe |
| institution | Kabale University |
| issn | 1550-1477 |
| language | English |
| publishDate | 2019-02-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Distributed Sensor Networks |
| spelling | doaj-art-af56beefad854fc2aa1266b0368026fe2025-02-03T06:45:33ZengWileyInternational Journal of Distributed Sensor Networks1550-14772019-02-011510.1177/1550147719831180Optimal defense strategy based on the mean field game model for cyber securityLi MiaoLina WangShuai LiHaitao XuXianwei ZhouWith the evolution of research on defense strategies in cyber security, the choice of an optimal strategy has become a key problem in current studies. Focusing on the balance between individual cost and overall network cost, we present an application of mean field game in large-scale defenders in cyber security, where players seek to construct an optimal defense strategy at their minimum cost. The contributions are threefold: first, we propose an individual cost function based on the mean field game in Hilbert space and discuss the overall network cost function, where each player has discrete-time dynamics. Then, the Nash equilibrium of the individual cost function with infinite players is researched. Finally, we establish an optimal condition in which the game equilibrium is the optimal solution to the overall cost function. Numerical examples are provided to illustrate the effectiveness of the presented strategy with an appropriate assumption.https://doi.org/10.1177/1550147719831180 |
| spellingShingle | Li Miao Lina Wang Shuai Li Haitao Xu Xianwei Zhou Optimal defense strategy based on the mean field game model for cyber security International Journal of Distributed Sensor Networks |
| title | Optimal defense strategy based on the mean field game model for cyber security |
| title_full | Optimal defense strategy based on the mean field game model for cyber security |
| title_fullStr | Optimal defense strategy based on the mean field game model for cyber security |
| title_full_unstemmed | Optimal defense strategy based on the mean field game model for cyber security |
| title_short | Optimal defense strategy based on the mean field game model for cyber security |
| title_sort | optimal defense strategy based on the mean field game model for cyber security |
| url | https://doi.org/10.1177/1550147719831180 |
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