Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning to coordinate in a complex and non-stationary world   We study analytically and by computer simulations a complex system of
adaptive agents with finite memory. Borrowing the framework of the Minority
Game and using the replica formalism we show the existence of an equilibrium
phase transition as a function of the ratio between the memory $\lambda$ and
the learning rates $\Gamma$ of the agents. We show that, starting from a random
configuration, a dynamic phase transition also exists, which prevents the
system from reaching any Nash equilibria. Furthermore, in a non-stationary
environment, we show by numerical simulations that agents with infinite memory
play worst than others with less memory and that the dynamic transition
naturally arises independently from the initial conditions.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph