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Structural Results for Decentralized Stochastic Control with a Word-of-Mouth Communication

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arxiv 1809.08712 v5 pith:CDV3DR3Y submitted 2018-09-24 math.OC

classification math.OC
keywords analyzeapproachcommunicationcontroldecentralizedresultsstatestructural
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In this paper, we analyze a network of agents that communicate through the ``word of mouth," in which, every agent communicates only with its neighbors. We introduce the prescription approach, present some of its properties and show that it leads to a new information state. We also state preliminary structural results for optimal control strategies in systems that evolve using word-of-mouth communication. The proposed approach can be generalized to analyze several decentralized systems.

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