Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Competition between collective and individual dynamics   Linking the microscopic and macroscopic behavior is at the heart of many
natural and social sciences. This apparent similarity conceals essential
differences across disciplines: while physical particles are assumed to
optimize the global energy, economic agents maximize their own utility. Here,
we solve exactly a Schelling-like segregation model, which interpolates
continuously between cooperative and individual dynamics. We show that
increasing the degree of cooperativity induces a qualitative transition from a
segregated phase of low utility towards a mixed phase of high utility. By
introducing a simple function which links the individual and global levels, we
pave the way to a rigorous approach of a wide class of systems, where dynamics
is governed by individual strategies.

32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess