Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning in nonatomic games, Part I: Finite action spaces and population
  games   We examine the long-run behavior of a wide range of dynamics for learning in
nonatomic games, in both discrete and continuous time. The class of dynamics
under consideration includes fictitious play and its regularized variants, the
best-reply dynamics (again, possibly regularized), as well as the dynamics of
dual averaging / "follow the regularized leader" (which themselves include as
special cases the replicator dynamics and Friedman's projection dynamics). Our
analysis concerns both the actual trajectory of play and its time-average, and
we cover potential and monotone games, as well as games with an evolutionarily
stable state (global or otherwise). We focus exclusively on games with finite
action spaces; nonatomic games with continuous action spaces are treated in
detail in Part II of this paper.

15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio