164 research outputs found
Heider Balance in Human Networks
Recently, a continuous dynamics was proposed to simulate dynamics of
interpersonal relations in a society represented by a fully connected graph.
Final state of such a society was found to be identical with the so-called
Heider balance (HB), where the society is divided into two mutually hostile
groups. In the continuous model, a polarization of opinions was found in HB.
Here we demonstrate that the polarization occurs also in Barabasi-Albert
networks, where the Heider balance is not necessarily present. In the second
part of this work we demonstrate the results of our formalism, when applied to
reference examples: the Southern women and the Zachary club.Comment: 9 pages, 5 figures. Presented on 8th Granada Seminar on Computational
and Statistical Physics, Modeling Cooperative Behavior in the Social
Sciences, Granada, Spain, 7-11 February 200
If others jump to the queue front, how long I will wait?
Two models of a queue are proposed: a human queue and two lines of vehicles
before a narrowing. In both models, a queuer tries to evaluate his waiting
time, taking into account the delay caused by intruders who jump to the queue
front. As the collected statistics of such events is very limited, the
evaluation can give very long times. The results provide an example, when
direct observations should be supplemented by an inference from the context.Comment: 4 pages, 3 figure
Dynamics of Multi-Player Games
We analyze the dynamics of competitions with a large number of players. In
our model, n players compete against each other and the winner is decided based
on the standings: in each competition, the mth ranked player wins. We solve for
the long time limit of the distribution of the number of wins for all n and m
and find three different scenarios. When the best player wins, the standings
are most competitive as there is one-tier with a clear differentiation between
strong and weak players. When an intermediate player wins, the standings are
two-tier with equally-strong players in the top tier and clearly-separated
players in the lower tier. When the worst player wins, the standings are least
competitive as there is one tier in which all of the players are equal. This
behavior is understood via scaling analysis of the nonlinear evolution
equations.Comment: 8 pages, 8 figure
A novel method for localising a randomly distributed wireless sensor network
Wireless sensor networks are dependent on
sending and receiving signals; the system will not be
capable of functioning if communication between sensors
is not established. Localisation is one of the most important
functions in this technology to localise nodes, events or the
data source. In this study, we present a new method for
outdoor randomly distributed nodes with no need for any
excess devices, such as GPS devices or directional anten-
nas or ultrasonic sensors. The method is based on using
only the simple node component to provide the node and
event position and has the ability to adapt mobility and
scalability without affecting network functionality. All of
the results are based on an ideal environment
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