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arXiv · 1412.7699

Parrondo games with spatial dependence, III

S. N. Ethier·Jiyeon Lee
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Abstract

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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S. N. Ethier, Jiyeon Lee. 2014-12-24. Parrondo games with spatial dependence, III. https://arxiv.org/abs/1412.7699

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