Selfish versus unselfish optimization of network creation

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Published 11 August 2005 IOP Publishing Ltd
, , Citation Johannes J Schneider and Scott Kirkpatrick J. Stat. Mech. (2005) P08007 DOI 10.1088/1742-5468/2005/08/P08007

1742-5468/2005/08/P08007

Abstract

We investigate several variants of a network creation model: a group of agents builds up a network between them while trying to keep the costs of this network small. The cost function consists of two addends, namely (i) a constant amount for each edge an agent buys and (ii) the minimum number of hops it takes sending messages to other agents. Despite the simplicity of this model, various complex network structures emerge depending on the weight between the two addends of the cost function and on the selfish or unselfish behaviour of the agents.

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10.1088/1742-5468/2005/08/P08007