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Security and Communication Networks
Volume 2017, Article ID 9017039, 19 pages
Research Article

Stackelberg Interdependent Security Game in Distributed and Hierarchical Cyber-Physical Systems

1State Key Laboratory of Industrial Control Technology, Department of Control Science and Engineering, Zhejiang University, Hangzhou, Zhejiang 310000, China
2Institute of Cyber-Systems and Control, Zhejiang, China

Correspondence should be addressed to Dongqin Feng; nc.ude.ujz@gnefniqgnod

Received 2 March 2017; Revised 22 May 2017; Accepted 12 June 2017; Published 22 August 2017

Academic Editor: Angelos Antonopoulos

Copyright © 2017 Jiajun Shen and Dongqin Feng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


With the integration of physical plant and network, cyber-physical systems (CPSs) are increasingly vulnerable due to their distributed and hierarchical framework. Stackelberg interdependent security game (SISG) is proposed for characterizing the interdependent security in CPSs, that is, the interactions between individual CPSs, which are selfish but nonmalicious with the payoff function being formulated from a cross-layer perspective. The pure-strategy equilibria for two-player symmetric SISG are firstly analyzed with the strategy gap between individual and social optimum being characterized, which is known as negative externalities. Then, the results are further extended to the asymmetric and -player SISG. At last, a numerical case of practical experiment platform is analyzed for determining the comprehensively optimal security configuration for administrator.