Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Competitive Balance Theory: Modeling conflict of interest in a
  heterogeneous network   The dynamics of networks on Heider balance theory moves toward reducing the
tension by constantly reevaluating the interactions to achieve a state of
balance. Conflict of interest, however, is inherent in most complex systems;
frequently, there are multiple ideals or states of balance, and moving towards
one could work against another. In this paper, by introducing the competitive
balance theory, we study the evolution of balance in the presence of conflicts
of interest. In our model, the assumption is that different states of balance
compete in the evolution process to dominate the system. We ask, whether,
through these interactions, different states of balance compete to prevail
their own ideals or a set of co-existing ideals in a balanced condition is a
possible outcome. The results show that although there is a symmetry in the
type of balance, the system either evolves towards a symmetry breaking where
one of the states of balance dominates the system, or, less frequently, the
competing states of balance co exist in a jammed state.

20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph