Caldarelli, Guido and Chessa, Alessandro and Crimaldi, Irene and Pammolli, Fabio The Evolution of Complex Networks: A New Framework. Working Paper arXiv (Submitted)
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Abstract
We introduce a new framework for the analysis of the dynamics of networks, based on randomly reinforced urn (RRU) processes, in which the weight of the edges is determined by a reinforcement mechanism. We rigorously explain the empirical evidence that in many real networks there is a subset of "dominant edges" that control a major share of the total weight of the network. Furthermore, we introduce a new statistical procedure to study the evolution of networks over time, assessing if a given instance of the nework is taken at its steady state or not. Our results are quite general, since they are not based on a particular probability distribution or functional form of the weights. We test our model in the context of the International Trade Network, showing the existence of a core of dominant links and determining its size.
| Item Type: | Working Paper (Working Paper) |
|---|---|
| Subjects: | H Social Sciences > H Social Sciences (General) H Social Sciences > HA Statistics H Social Sciences > HB Economic Theory Q Science > QA Mathematics Q Science > QC Physics |
| Research Area: | Economics and Institutional Change |
| Depositing User: | Irene Crimaldi |
| Date Deposited: | 12 Mar 2012 08:22 |
| Last Modified: | 07 Apr 2016 14:27 |
| URI: | http://eprints.imtlucca.it/id/eprint/1230 |
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- The Evolution of Complex Networks: A New Framework. (deposited 12 Mar 2012 08:22) [Currently Displayed]
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