PARRONDO GAMES WITH SPATIAL DEPENDENCE

Title
PARRONDO GAMES WITH SPATIAL DEPENDENCE
Author(s)
이지연S. N. Ethier[S. N. Ethier]
Keywords
PARADOXICAL GAMES; REDISTRIBUTION; WEALTH
Issue Date
201206
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Citation
FLUCTUATION AND NOISE LETTERS, v.11, no.2
Abstract
Toral introduced so-called cooperative Parrondo games, in which there are N >= 3 players arranged in a circle. At each turn one player is randomly chosen to play. He plays either game A or game B. Game A results in a win or loss of one unit based on the toss of a fair coin. Game B results in a win or loss of one unit based on the toss of a biased coin, with the amount of the bias depending on whether none, one, or two of the player's two nearest neighbors have won their most recent games. Game A is fair, so the games are said to exhibit the Parrondo effect if game B is losing or fair and the random mixture (1/2)(A + B) is winning. With the parameter space being the unit cube, we investigate the region in which the Parrondo effect appears. Explicit formulas can be found if 3 <= N <= 6 and exact computations can be carried out if 7 <= N <= 19, at least. We provide numerical evidence suggesting that the Parrondo region has nonzero volume in the limit as N -> infinity.
URI
http://hdl.handle.net/YU.REPOSITORY/28046http://dx.doi.org/10.1142/S0219477512500046
ISSN
0219-4775
Appears in Collections:
이과대학 > 통계학과 > Articles
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