By Myriam P. Sassano, Araceli N. Proto (auth.), Araceli N. Proto, Massimo Squillante, Janusz Kacprzyk (eds.)

In this quantity contemporary advances within the use of recent quantitative types for the research of varied difficulties relating to the dynamics of social and financial structures are offered. the bulk chapters describe instruments and strategies of greatly perceived computational intelligence, significantly fuzzy common sense, evolutionary computation, neural networks and a few non-standard probabilistic and statistical analyses. because of the excessive complexity of the structures and difficulties thought of, in lots of occasions it's important to think about even as analytic, topological and statistical points and follow acceptable techniques and algorithms. This quantity is an instantaneous results of vibrant discussions held in the course of the 5th overseas Workshop on Dynamics of Social and low-priced structures (DYSES) which was once held at Benevento, Italy September 20-25, 2010, in addition to a few post-workshop conferences and consultations.

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As usual, I remain the sole responsible for any possible shortcoming present in this paper. it. N. Proto et al. ): Adv. Dynamic Modeling of Economic & Social Systems, SCI 448, pp. 21–29. com 22 M. 1 Flow networks are a natural modelling tool for the representation of ﬁnancial networks. , when such agents are connected among themselves by ﬁnancial obligations of some nature. We have applied ﬂow networks modelling to two kinds of ﬁnancial networks: ﬁnancial systems and interbank liquidity networks.

Assumed to label the nodes circular wise, we allow each node to link only to the h preceding nodes and to the h following nodes in the circle. This topology reveals to be a k = 2h regular graph and we will refer to it as 2h regular ring graph. The rationale of this choice relies on the fact that for h = 1 this is the topology of a ring network. (a) h=1 (b) h=2 (c) h=3 (d) h=4 (e) h=5, complete case Fig. 1 Ring 2h regular graph of 10 nodes with h ∈ {1, . . , 5} Networks of Financial Contagion 45 Figure 1 depicts a 2h regular ring for n = 10 nodes.

Donnini (not necessarily connected) labeled n nodes graphs for n = 1, 2, 3, 4, 5, 6, ... is given by 1, 2, 8, 64, 1024, 32768, ... while the number of connected labeled graphs on n nodes is given by the logarithmic transform of the preceding sequence: 1, 1, 4, 38, 728, 26704, ... (see also Sloan and Plouffe (1995)). Given the great variety of connected networks, for the sake of simplicity we focus on a subset of connected k-regular networks. e. every vertex has the same degree) is defined to be regular.