The paradox of Parrondo's games

被引：56

作者：

Harmer, GP ^{[1
]}

Abbott, D

Taylor, PG

机构：

[1] Univ Adelaide, Ctr Biomed Engn, CBME, Adelaide, SA 5005, Australia

[2] Univ Adelaide, Dept Elect & Elect Engn, Adelaide, SA 5005, Australia

[3] Univ Adelaide, Dept Appl Math, Adelaide, SA 5005, Australia

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2000年 / 456卷 / 1994期

关键词：

gambling paradox; Brownian ratchet; discrete-time Markov chains;

D O I：

10.1098/rspa.2000.0516

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We introduce Parrondo's paradox that involves games of chance. We consider two fair games, A and B, both of which can be made to lose by changing a biasing parameter. An apparently paradoxical situation arises when the two games are played in any alternating order. A winning expectation is produced, even though both games A and B are losing when we play them individually. We develop an explanation of the phenomenon in terms of a Brownian ratchet model, and also develop a mathematical analysis using discrete-time Markov chains. From the analysis we investigate the range of parameter values for which Parrondo's paradox exists.

引用

页码：247 / 259

页数：13

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