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The Emergence of Leadership in Social Networks
T. Clemson, T. S. Evans · 2011-06-02 · via cs.SI updates on arXiv.org

We study a networked version of the minority game in which agents can choose to follow the choices made by a neighbouring agent in a social network. We show that for a wide variety of networks a leadership structure always emerges, with most agents following the choice made by a few agents. We find a suitable parameterisation which highlights the universal aspects of the behaviour and which also indicates where results depend on the type of social network.