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A redistribution model for spatially dependent Parrondo games
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 Title & Authors
A redistribution model for spatially dependent Parrondo games
Lee, Jiyeon;
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 Abstract
An ansemble of N players arranged in a circle play a spatially dependent Parrondo game B. One player is randomly selected to play game B, which is based on the toss of a biased coin, with the amount of the bias depending on states of the selected player`s two nearest neighbors. The player wins one unit with heads and loses one unit with tails. In game A` the randomly chosen player transfers one unit of capital to another player who is randomly chosen among N - 1 players. Game A` is fair with respect to the ensemble`s total profit. The games are said to exhibit the Parrondo effect if game B is losing and the random mixture game C is winning and the reverse-Parrondo effect if game B is winning and the random mixture game C is losing. We compute the exact mean profits for games B and C by applying a state space reduction method with lumped Markov chains and we sketch the Parrondo and reverse-Parrondo regions for .
 Keywords
Expected profits;lumpability;Markov chains;Parrondo effects;space-dependent Parrondo games;stationary distriburions;redistribution;
 Language
Korean
 Cited by
 References
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