Dynamic scaling regimes of collective decision makingA. Grönlund1, 2, P. Holme3, 4 and P. Minnhagen1
1 Department of Physics, Umeå University - 901 87 Umeå, Sweden
2 Umeå Plant Science Centre, Department of Plant Physiology, Umeå University - 901 87 Umeå, Sweden
3 Department of Computer Science, University of New Mexico - Albuquerque, NM 87131, USA
4 Department of Computational Biology, School of Computer Science and Communication, Royal Institute of Technology - 100 44 Stockholm, Sweden
received 24 August 2007; accepted in final form 12 November 2007; published January 2008
published online 6 December 2007
We investigate a social system of agents faced with a binary choice. We assume there is a correct, or beneficial, outcome of this choice. Furthermore, we assume agents are influenced by others in making their decision, and that the agents can obtain information that may guide them towards making a correct decision. The dynamic model we propose is of nonequilibrium type, converging to a final decision. We run it on random graphs and scale-free networks. On random graphs, we find two distinct regions in terms of the finalizing time -the time until all agents have finalized their decisions. On scale-free networks, on the other hand, there do not seem to be such distinct scaling regions.
87.23.Ge - Dynamics of social systems.
89.75.Fb - Structures and organization in complex systems.
89.75.Hc - Networks and genealogical trees.
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