Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A dynamical model for competing opinions   We propose an opinion model based on agents located at the vertices of a
regular lattice. Each agent has an independent opinion (among an arbitrary, but
fixed, number of choices) and its own degree of conviction. The latter changes
every time it interacts with another agent who has a different opinion. The
dynamics leads to size distributions of clusters (made up of agents which have
the same opinion and are located at contiguous spatial positions) which follow
a power law, as long as the range of the interaction between the agents is not
too short, i.e. the system self-organizes into a critical state. Short range
interactions lead to an exponential cut off in the size distribution and to
spatial correlations which cause agents which have the same opinion to be
closely grouped. When the diversity of opinions is restricted to two,
non-consensus dynamic is observed, with unequal population fractions, whereas
consensus is reached if the agents are also allowed to interact with those
which are located far from them.

27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex