Dynamical and topological aspects of consensus formation in complex networks

CHACOMA, A.; MATO, G.; KUPERMAN, M.N.

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Año: 2018 vol. 495 p. 152 - 161

0378-4371

The present work analyses a particular scenario of consensus formation, where  the individuals navigate across an underlying network defining the topology of the walks.  The  consensus, associated to a given opinion  coded as a simple message, is generated by interactions  during the agent´s walk  and manifest itself in  the collapse of the  various opinions into a single one. We analyze how the topology of the underlying networks  and the rules of interaction between the agents  promote or inhibit the emergence of this consensus. We find that non-linear interaction rules are required to  form consensus and that consensus is more easily achieved  in networks whose degree distribution is narrower.