Cyber-physical correlation effects in defense games for large discrete infrastructures
type: Item
instance of: scholarly article
title: Cyber-physical correlation effects in defense games for large discrete infrastructures
zbMATH Open document ID: 1418.91106
author: N. S. V. Rao
author: Chris Y. T. Ma
author: Fei He
author: David K. Y. Yau
author: Jun Zhuang
published in: Games
publication date: 2018-12-10T00:00:00Z
review text: Summary: In certain critical infrastructures, correlations between cyber and physical components can be exploited to launch strategic attacks, so that disruptions to one component may affect others and possibly the entire infrastructure. Such correlations must be explicitly taken into account in ensuring the survival of the infrastructure. For large discrete infrastructures characterized by the number of cyber and physical components, we characterize the cyber-physical interactions at two levels: (i) the cyber-physical failure correlation function specifies the conditional survival probability of the cyber sub-infrastructure given that of the physical sub-infrastructure (both specified by their marginal probabilities), and (ii) individual survival probabilities of both sub-infrastructures are characterized by first-order differential conditions expressed in terms of their multiplier functions. We formulate an abstract problem of ensuring the survival probability of a cyber-physical infrastructure with discrete components as a game between the provider and attacker, whose utility functions are composed of infrastructure survival probability terms and cost terms, both expressed in terms of the number of components attacked and reinforced. We derive Nash equilibrium conditions and sensitivity functions that highlight the dependence of infrastructure survival probability on cost terms, correlation functions, multiplier functions, and sub-infrastructure survival probabilities. We apply these analytical results to characterize the defense postures of simplified models of metro systems, cloud computing infrastructures, and smart power grids.
Mathematics Subject Classification ID: 91A43
Mathematics Subject Classification ID: 68M11
Mathematics Subject Classification ID: 94A62
Mathematics Subject Classification ID: 91B16
zbMATH DE Number: 6991166
zbMATH Keywords: networked systems
zbMATH Keywords: cyber-physical infrastructures
zbMATH Keywords: aggregated correlations functions
zbMATH Keywords: sum-form
zbMATH Keywords: product-form
zbMATH Keywords: composite utility functions
MaRDI profile type: Publication
full work available at URL: g9030052
OpenAlex ID: W2884066698
Wikidata QID: Q116677094
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DOI: 10.3390/G9030052
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description: scientific article; zbMATH DE number 6991166