Entropy 2013, 15(8), 3031-3044; doi:10.3390/e15083031
Article

What Do Leaders Know?

Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste 34151, Italy
* Author to whom correspondence should be addressed.
Received: 18 June 2013; in revised form: 19 July 2013 / Accepted: 22 July 2013 / Published: 26 July 2013
(This article belongs to the Special Issue Social Networks and Information Diffusion)
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Abstract: The ability of a society to make the right decisions on relevant matters relies on its capability to properly aggregate the noisy information spread across the individuals of which it is made. In this paper, we study the information aggregation performance of a stylized model of a society, whose most influential individuals—the leaders—are highly connected among themselves and uninformed. Agents update their state of knowledge in a Bayesian manner by listening to their neighbors. We find analytical and numerical evidence of a transition, as a function of the noise level in the information initially available to agents, from a regime where information is correctly aggregated, to one where the population reaches consensus on the wrong outcome with finite probability. Furthermore, information aggregation depends in a non-trivial manner on the relative size of the clique of leaders, with the limit of a vanishingly small clique being singular.
Keywords: social networks; information diffusion; social learning

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MDPI and ACS Style

Livan, G.; Marsili, M. What Do Leaders Know? Entropy 2013, 15, 3031-3044.

AMA Style

Livan G, Marsili M. What Do Leaders Know? Entropy. 2013; 15(8):3031-3044.

Chicago/Turabian Style

Livan, Giacomo; Marsili, Matteo. 2013. "What Do Leaders Know?" Entropy 15, no. 8: 3031-3044.

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