# 과거의존 파론도 게임의 재분배 모형

• Jin, Geonjoo (Department of Statistics, Yeungnam University) ;
• Lee, Jiyeon (Department of Statistics, Yeungnam University)
• Accepted : 2014.12.19
• Published : 2015.01.31
• 112 29

#### Abstract

Parrondo paradox is the counter-intuitive phenomenon where two losing games can be combined to win or two winning games can be combined to lose. In this paper, we consider an ensemble of players, one of whom is chosen randomly to play game A' or game B. In game A', the randomly chosen player transfers one unit of his capital to another randomly selected player. In game B, the player plays the history-dependent Parrondo game in which the winning probability of the present trial depends on the results of the last two trials in the past. We show that Parrondo paradox exists in this redistribution model of the history-dependent Parrondo game.

#### Acknowledgement

Supported by : 한국연구재단

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#### Cited by

1. Stock investment with a redistribution model of the history-dependent Parrondo game vol.26, pp.4, 2015, https://doi.org/10.7465/jkdi.2015.26.4.781
2. A redistribution model for spatially dependent Parrondo games vol.27, pp.1, 2016, https://doi.org/10.7465/jkdi.2016.27.1.121