Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/81110
Authors: 
Buechel, Berno
Hellmann, Tim
Klößner, Stefan
Year of Publication: 
2012
Series/Report no.: 
Working Papers, Institute of Mathematical Economics 469
Abstract: 
We present a model of opinion formation where individuals repeatedly engage in discussion and update their opinion in a social network similarly to the DeGroot model. Abstracting from the standard assumption that individuals always report their opinion truthfully, agents in our model interact strategically in the discussion such that their stated opinion can di er from their true opinion. The incentive to do so is induced by agents' preferences for conformity. Highly conforming agents will state an opinion which is close to their neighbors' while agents with low level of conformity may be honest or even overstate their opinion. We model opinion formation as a dynamic process and identify conditions for convergence to consensus. Studying the consensus in detail, we show that an agent's social in uence on the consensus opinion is increasing in network centrality and decreasing in the level of conformity. Thus, lower conformity fosters opinion leadership. Moreover, assuming that the initial opinion is a noisy signal about some true state of the world, we consider the mean squared error of the consensus as an estimator for the true state of the world. We show that a society is \wise, i.e. the mean squared error is smaller, if players who are well informed are less conform, while uninformed players conform more with their neighbors.
Subjects: 
consensus
social networks
conformity
eigenvector centrality
wisdom of the crowds
JEL: 
C72
D83
D85
Z13
Document Type: 
Working Paper

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