Parrondo Games with Spatial Dependence, III
2015 ◽
Vol 14
(04)
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pp. 1550039
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We study Toral’s Parrondo games with [Formula: see text] 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 [Formula: see text]. 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 [Formula: see text] to [Formula: see text]. We show that their reduced Markov chains are inconsistent with the model of Xie et al.
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2001 ◽
Vol 126
(1-2)
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pp. 109-138
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2005 ◽
Vol 34
(5)
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pp. 1159-1175
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2012 ◽
Vol 62
(2)
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pp. 828-854
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