75 research outputs found
Communication and trust in the bounded confidence model
The communication process in a situation of emergency is discussed within the
Scheff theory of shame and pride. The communication involves messages from
media and from other persons. Three strategies are considered: selfish (to
contact friends), collective (to join other people) and passive (to do
nothing). We show that the pure selfish strategy cannot be evolutionarily
stable. The main result is that the community structure is statistically
meaningful only if the interpersonal communication is weak.Comment: 6 pages, 5 figures, RevTeX, for ICCCI-201
Average distance in growing trees
Two kinds of evolving trees are considered here: the exponential trees, where
subsequent nodes are linked to old nodes without any preference, and the
Barab\'asi--Albert scale-free networks, where the probability of linking to a
node is proportional to the number of its pre-existing links. In both cases,
new nodes are linked to nodes. Average node-node distance is
calculated numerically in evolving trees as dependent on the number of nodes
. The results for not less than a thousand are averaged over a thousand
of growing trees. The results on the mean node-node distance for large
can be approximated by for the exponential trees, and
for the scale-free trees, where the are constant. We
derive also iterative equations for and its dispersion for the exponential
trees. The simulation and the analytical approach give the same results.Comment: 6 pages, 3 figures, Int. J. Mod. Phys. C14 (2003) - in prin
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