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math.PR2012
Parrondo games with spatial dependence, II
S. N. Ethier, Jiyeon Lee
Let game B be Toral's cooperative Parrondo game with (one-dimensional) spatial dependence, parameterized by N (3 or more) and p_0, p_1, p_2, p_3 in [0,1], and let game A be the spe…
math.PR2009
Limit theorems for Parrondo's paradox
S. N. Ethier, Jiyeon Lee
That there exist two losing games that can be combined, either by random mixture or by nonrandom alternation, to form a winning game is known as Parrondo's paradox. We establish a…