[1]ALCARAZ C, ZEADALLY S. Critical infrastructure protection: Requirements and challenges for the 21st century[J]. International journal of critical infrastructure protection, 2015, 8: 53-66.
[2]卿斯汉.关键基础设施安全防护[J].信息网络安全,2015(2):1-6.
QING S H. Security protection of critical infrastructure[J]. Netinfo Security, 2015 (2):1-6.
[3]刘涛,陈忠,陈晓荣.复杂网络理论及其应用研究概述[J].系统工程,2005,23(6):1-7.
LIU T, CHEN Z, CHEN X R. Overview of complex network theory and its application research [J]. Systems Engineering,2005,23(6):1-7.
[4]郭鹏,杨晓琴.博弈论与纳什均衡[J].哈尔滨师范大学自然科学学报,2006,22(4):25-28.
GUO P, YANG X Q. Game theory and Nash equilibrium [J]. Journal of Natural Sciences, Harbin Normal University, 2006,22 (4): 25-28.
[5]周涛,柏文洁,汪秉宏,等.复杂网络研究概述[J].物理,2005,34(1):31-36.
ZHOU T, BAI W J, WANG B H, et al. A brief review of complex networks[J]. Physics, 2005,34 (1): 31-36.
[6]王哲,李建华,康东,等.复杂网络鲁棒性增强策略研究综述[J].复杂系统与复杂性科学,2020,17(3):1-26.
Wang Z, LI J H,KANG D, et al. Review strategies enhance the robustness of complex network[J]. Complex Systems and Complexity Science, 2020,17(03):1-26.
[7]RINALDI S M, PEERENBOOM J P, KELLY T K. Identifying, understanding, and analyzing critical infrastructure interdependencies[J]. IEEE Control Systems Magazine, 2001, 21(6): 11-25.
[8]NOCHENSON A, HEIMANN C F L. Simulation and game-theoretic analysis of an attacker-defender game[C]//Decision and Game Theory for Security: Third International Conference, GameSec 2012, Budapest, Hungary, 2012: 138-151.
[9]VESPIGNANI A. Complex networks: the fragility of interdependency[J]. Nature, 2010, 464:984-985.
[10] 董政呈,方彦军,田猛.相互依存网络抗毁性研究综述[J].复杂系统与复杂性科学,2017,14(3):30-44.
DONG Z C, FANG Y J, TIAN M, Review on vulnerability of interdependent networks[J]. Complex Systems and Complexity Science, 2017,14(3):30-44.
[11] WU D, XIAO H, PENG R. Object defense with preventive strike and false targets[J]. Reliability Engineering & System Safety, 2018, 169: 76-80.
[12] MACKENZIE C A, BAROUD H, BARKER K. Static and dynamic resource allocation models for recovery of interdependent systems: application to the Deepwater Horizon oil spill[J]. Annals of Operations Research, 2016, 236(1): 103-129.
[13] WANG N, JIN Z Y, ZHAO J. Cascading failures of overload behaviors on interdependent networks[J]. Physica A: Statistical Mechanics and its Applications, 2021, 574: 125989.
[14] 马海瑛,肖玉芝,赵海兴,等.三层复杂网络模型构建及特性分析[J].复杂系统与复杂性科学,2020,17(4):16-29.
MA H Y, XIAO Y Z, ZHAO H X, et al. Three-Layer complex network model construction and characteristic analysis[J]. Complex Systems and Complexity Science, 2020,17(4):16-29.
[15] HOTA A R, SUNDARAM S. Interdependent security games on networks under behavioral probability weighting[J]. IEEE Transactions on Control of Network Systems,2016,5(1): 262-273.
[16] 徐云程,胡华,孙小军.三层无标度关联网络协同传播模型阈值研究[J].复杂系统与复杂性科学,2021,18(3):1-8.
XU Y C, HU H, SUN X J, Research on threshold of cooperative propagation model of three-layer scale-free associative network[J]. Complex Systems and Complexity Science, 2021,18(3):1-8.
[17] HAUSKEN K, LEVITIN G. Minmax defense strategy for complex multi-state systems[J]. Reliability Engineering & System Safety, 2009, 94(2): 577-587.
[18] LI Y, LIN J, ZHANG C, et al. Joint optimization of structure and protection of interdependent infrastructure networks[J]. Reliability Engineering & System Safety, 2022, 218: 108163.
[19] FU C Q, GAO Y J, ZHONG J L, et al. Attack-defense game for critical infrastructure considering the cascade effect[J]. Reliability Engineering & System Safety, 2021, 216: 107958.
[20] PENG R, WU D, SUN M, et al. An attack-defense game on interdependent networks[J]. Journal of the Operational Research Society, 2021, 72(10): 2331-2341.
[21] 任晓龙,吕琳媛.网络重要节点排序方法综述[J].科学通报,2014,59(13):1175-1197.
REN X L, LÜ L Y. Review of ranking nodes in complex networks[J]. Chinese Science Bulletin, 2014,59(13):1175-1197.
[22] 张强,曹军海,宋太亮,等.装备保障网络中考虑负载再分配的级联失效分析[J].兵器装备工程学报,2021,42(6):86-90.
ZHANG Q, CAO J H,SONG T L, et al. Cascading failure analysis considering load redistribution in equipment support network[J]. Journal of Ordnance Equipment Engineering, 2021,42(6):86-90.
[23] 种鹏云,尹惠.蓄意攻击策略下危险品运输网络级联失效仿真[J].复杂系统与复杂性科学,2018,15(1):45-55.
ZHONG P Y, YIN H, Simulation of cascading failures on hazardous material transportation networks under targeted attack[J]. Complex Systems and Complexity Science, 2018,15(1):45-55.
[24] OUYANG M. Comparisons of purely topological model, betweenness based model and direct current power flow model to analyze power grid vulnerability[J]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2013, 23(2): 023114.
[25] CRUCITTI P, LATORA V, MARCHIORI M. Model for cascading failures in complex networks[J]. Physical Review E, 2004, 69(4): 045104.
[26] 王家辉.博弈论中的"囚徒困境"模型[J].统计与决策,2005(8):19-20.
WANG J H. The "prisoner′s dilemma" model in game theory[J]. Statistics and Decision Making, 2005(8):19-20.
[27] ZHANG C, RAMIREZ-MARQUEZ J E, WANG J. Critical infrastructure protection using secrecy-a discrete simultaneous game[J]. European Journal of Operational Research, 2015, 242(1): 212-221.
[28] TARDOS E, VAZIRANI V V. Basic solution concepts and computational issues[DB/OL]. [2022-03-15] https://www.cs.cornell.edu/~eva/agtchap1.pdf.
[29] LEMKE C E, HOWSON, J T J. Equilibrium points of bimatrix games[J]. Journal of the Society for Industrial and Applied Mathematics, 1964, 12(2): 413-423.
[30] PORTER R, NUDELMAN E, SHOHAM Y. Simple search methods for finding a nash equilibrium[J]. Games and Economic Behavior, 2008, 63(2): 642-662.
[31] NASH J F. Equilibrium points in n-person games[J]. Proceedings of the National Academy of Sciences, 1950, 36(1): 48-49.
