Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupled Ising models and interdependent discrete choices under social
  influence in homogeneous populations   The use of statistical physics to study problems of social sciences is
motivated and its current state of the art briefly reviewed, in particular for
the case of discrete choice making. The coupling of two binary choices is
studied in some detail, using an Ising model for each of the decision variables
(the opinion or choice moments or spins, socioeconomic equivalents to the
magnetic moments or spins). Toy models for two different types of coupling are
studied analytically and numerically in the mean field (infinite range)
approximation. This is equivalent to considering a social influence effect
proportional to the fraction of adopters or average magnetisation. In the
nonlocal case, the two spin variables are coupled through a Weiss mean field
type term. In a socioeconomic context, this can be useful when studying
individuals of two different groups, making the same decision under social
influence of their own group, when their outcome is affected by the fraction of
adopters of the other group. In the local case, the two spin variables are
coupled only through each individual. This accounts to considering individuals
of a single group each making two different choices which affect each other. In
both cases, only constant (intra- and inter-) couplings and external fields are
considered, i.e., only completely homogeneous populations. Most of the results
presented are for the zero field case, i.e. no externalities or private
utilities. Phase diagrams and their interpretation in a socioeconomic context
are discussed and compared to the uncoupled case. The two systems share many
common features including the existence of both first and second order phase
transitions, metastability and hysteresis. To conclude, some general remarks,
pointing out the limitations of these models and suggesting further
improvements are given.

18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat