Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/174572
Authors: 
Lambert, David
Vanni, Fabio
Year of Publication: 
2017
Series/Report no.: 
LEM Working Paper Series 2017/22
Abstract: 
We present an analytical solution for the connectivity of a network model with a "non-simultaneous" linking scheme. Despite its simplicity, this model exhibits node-space correlations in the link distribution, and anomalous fluctuations behavior of the time series of the connectivity variable, and a finite-size e ff ect: the maximum number of links occurs away from the critical value of the system parameter. We derive an exact Master Equation for this model using a quantum algebra approach to stochastic processes. Fluctuations are much more important than the mean-field approximation predicts, which we attribute to the heterogeneity in the model. The maximal heterogeneous population corresponds to the critical value of the system. Finally as an explanatory case we evaluate the growth of the network value in relation with the system interconnectedness.
Subjects: 
Complexity
heterogeneity
critical phenomena
network value
coordination costs
stochastic processes
JEL: 
D85
C02
C22
C62
Document Type: 
Working Paper

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