Consensus Formation in Networked Groups
This chapter proposes a solution, based on the theory of social networks, to the problem of weight assignment in the Lehrer-Wagner model for consensus. The Lehrer-Wagner model of consensus is introduced, and the problem of weight assignment is outlined, together with a number of possible solutions previously suggested in the literature. The chapter argues that there is no one-size-fits-all solution to the problem of weight assignment in the Lehrer-Wagner model, and suggests an alternative solution, which is based on the idea of deriving weights from existing networks of relations in the group. This proposal, it is argued, is particularly useful for maximizing or limiting the influence of a network of relations on the consensual opinion resulting from the model.
KeywordsConsensus Model Weight Assignment Social Epistemology Consensus Formation Epistemic Peer
- Bradley, Richard. 2006. Taking advantage of difference in opinion. Episteme 3(3): 141–155.Google Scholar
- DeMarzo, Peter M., Dimistri Vayanos, and Jeffrey Zwiebel. 2003. Persuasion bias, social influence and unidimensional opinions. The Quarterly Journal of Economics August: 909–968.Google Scholar
- Goldman, Alvin. 1999. Knowledge in a social world. Oxford: Oxford University Press.Google Scholar
- Golub, Benjamin, and Matthew O. Jackson. 2007. Naïve learning in social networks: Convergence, influence, and the wisdom of crowds. Working Papers Series FEEM Working Paper No. 64.Google Scholar
- Hegselmann, Rainer, and Ulrich Krause. 2002. Opinion dynamics and bounded confidence: Models, analysis and simulation. Journal of Artificial Societies and Social Simulation 5(3): 1–33.Google Scholar
- Hegselmann, Rainer, and Ulrich Krause. 2006. Truth and cognitive division of labour first steps towards a computer aided social epistemology. Journal of Artificial Societies and Social Simulation 9(3): 1–27.Google Scholar
- Jackson, Matthew O. 2008. Social and economic networks. Princeton NJ: Princeton University Press.Google Scholar
- Kelly, Thomas. 2005. Peer disagreement and higher order evidence. In Oxford studies in epistemology—Volume 1, eds. John Hawthorne and Tamar Gendler Szabo, 167–196. Oxford: Oxford University Press.Google Scholar
- List, Christian, and Philip Pettit. 2011. Group agency. Oxford: Oxford University Press.Google Scholar
- Meyer, Carl D. 2000. Matrix analysis and applied linear algebra. Philadelphia PA: Society for Industrial and Applied Mathematics (SIAM).Google Scholar
- Royle, Gordon, and Eric W. Weisstein. 2010. Reducible Matrix. MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/ReducibleMatrix.html—Retrieved 18 Feb 2010.
- van Aaken, Anne, Christian List, and Christoph Luetge, eds. 2004. Deliberation and decision: Economics, constitutional theory and deliberative democracy. London: Ashgate.Google Scholar
- Weisstein, Eric W. 2011. Graph. MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/Graph.html—Retrieved 10 Jan 2011.