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arxiv: 1112.0404 · v2 · pith:2ZBXEA4Unew · submitted 2011-12-02 · 💻 cs.MA · cs.DM· cs.SY· eess.SY· math.OC

A Cyclic Representation of Discrete Coordination Procedures

classification 💻 cs.MA cs.DMcs.SYeess.SYmath.OC
keywords cyclediscreteprocedureagentapproximatedasymptoticallycommunicationcoordination
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We show that any discrete opinion pooling procedure with positive weights can be asymptotically approximated by DeGroot's procedure whose communication digraph is a Hamiltonian cycle with loops. In this cycle, the weight of each arc (which is not a loop) is inversely proportional to the influence of the agent the arc leads to.

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