65,453 research outputs found
Mental ability and common sense in an artificial society
We read newspapers and watch TV every day. There are many issues and many
controversies. Since media are free, we can hear arguments from every possible
side. How do we decide what is wrong or right? The first condition to accept a
message is to understand it; messages that are too sophisticated are ignored.
So it seems reasonable to assume that our understanding depends on our ability
and our current knowledge. Here we show that the consequences of this statement
are surprising and funny.Comment: 3 pages, 3 figures, for Europhysics New
Black-Litterman model with intuitionistic fuzzy posterior return
The main objective is to present a some variant of the Black - Litterman
model. We consider the canonical case when priori return is determined by means
such excess return from the CAPM market portfolio which is derived using
reverse optimization method. Then the a priori return is at risk quantified
uncertainty. On the side, intensive discussion shows that the experts' views
are under knightian uncertainty. For this reason, we propose such variant of
the Black - Litterman model in which the experts' views are described as
intuitionistic fuzzy number. The existence of posterior return is proved for
this case.We show that then posterior return is an intuitionistic fuzzy
probabilistic set.Comment: SSRN Electronic Journal 201
Anderson localization of a Rydberg electron along a classical orbit
Anderson localization is related to exponential localization of a particle in
the configuration space in the presence of a disorder potential. Anderson
localization can be also observed in the momentum space and corresponds to
quantum suppression of classical diffusion in systems that are classically
chaotic. Another kind of Anderson localization has been recently proposed, i.e.
localization in the time domain due to the presence of {\it disorder} in time.
That is, the probability density for the detection of a system at a fixed
position in the configuration space is localized exponentially around a certain
moment of time if a system is driven by a force that fluctuates in time. We
show that an electron in a Rydberg atom, perturbed by a fluctuating microwave
field, Anderson localizes along a classical periodic orbit. In other words the
probability density for the detection of an electron at a fixed position on an
orbit is exponentially localized around a certain time moment. This phenomenon
can be experimentally observed.Comment: version accepted for publication in Phys. Rev.
Indifferents as an interface between Contra and Pro
In most sociophysical simulations on public opinion, only two opinions are
allowed: Pro and Contra. However, in all political elections many people do not
vote. Here we analyse two models of dynamics of public opinion, taking into
account Indifferent voters: {\it i)} the Sznajd model with symmetry Pro-Contra,
{\it ii)} the outflow one move voter model, where Contra's are converted to
Indifferent by their Pro neighbours. Our results on the Sznajd model are in an
overall agreement with the results of the mean field approach and with those
known from the initial model formulation. The simulation on the voter model
shows that an amount of Contra's who remain after convertion depends on the
network topology.Comment: 12 pages, 5 figure
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