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Potential Game Approach to Virus Attacks in Network with General Topology

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Network Games, Control, and Optimization (NETGCOOP 2016)

Abstract

SIS epidemic non-zero sum games have been recently used to analyse virus protection in networks. A potential game approach was proposed for solving the game for the case of a fully connected network. In this paper we manage to extend this result to an arbitrary topology by showing that the general topology game has an ordinal potential game. We apply this result to study numerically some examples.

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Correspondence to François-Xavier Legenvre .

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Legenvre, FX., Hayel, Y., Altman, E. (2017). Potential Game Approach to Virus Attacks in Network with General Topology. In: Lasaulce, S., Jimenez, T., Solan, E. (eds) Network Games, Control, and Optimization. NETGCOOP 2016. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51034-7_16

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