Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parrondo games with spatial dependence, III   We study Toral's Parrondo games with $N$ players and one-dimensional spatial
dependence as modified by Xie et al. Specifically, we use computer graphics to
sketch the Parrondo and anti-Parrondo regions for $3\le N\le 9$. Our work was
motivated by a recent paper of Li et al., who applied a state space reduction
method to this model, reducing the number of states from $2^N$ to $N+1$. We
show that their reduced Markov chains are inconsistent with the model of Xie et
al.

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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg