Abstract

In this paper, information sharing over adversarial adaptive networks is considered. Defense against adversarial attacks is enforced by an attack detection mechanism that guides the diffusion strategy in the parameter estimation task and the transmission decisions of agents. The latter are taken to maximize long-term rewards, expressed in terms of estimation performance, communication cost, and illegal gains in a nonzero sum repeated game with imperfect action monitoring. In order to track agents’ behavior and stimulate cooperation, a reputation protocol is designed, along with the deployment of a set of honest nodes whose behavior is consistent with the reputation protocol. An algorithm that promotes cooperation and can achieve secure parameter estimation is described and illustrated by simulations.

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