Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A discrete dynamical system for the greedy strategy at collective
  Parrondo games   We consider a collective version of Parrondo's games with probabilities
parametrized by rho in (0,1) in which a fraction phi in (0,1] of an infinite
number of players collectively choose and individually play at each turn the
game that yields the maximum average profit at that turn. Dinis and Parrondo
(2003) and Van den Broeck and Cleuren (2004) studied the asymptotic behavior of
this greedy strategy, which corresponds to a piecewise-linear discrete
dynamical system in a subset of the plane, for rho=1/3 and three choices of
phi. We study its asymptotic behavior for all (rho,phi) in (0,1)x(0,1], finding
that there is a globally asymptotically stable equilibrium if phi<=2/3 and,
typically, a unique (asymptotically stable) limit cycle if phi>2/3 ("typically"
because there are rare cases with two limit cycles). Asymptotic stability
results for phi>2/3 are partly conjectural.

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an