A cyclic representation of discrete coordination procedures

A cyclic representation of discrete coordination procedures

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Article ID: iaor2012206
Volume: 73
Issue: 1
Start Page Number: 161
End Page Number: 166
Publication Date: Jan 2012
Journal: Automation and Remote Control
Authors: ,
Keywords: graphs
Abstract:

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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