Abstract
A study was performed to demonstrate that the apparently paradoxical effect of two losing games combining to produce a winning game also applies to combinations of two history-dependent games. Expressions were derived for the regions of the parameter space in which the effect is observed for both random and periodic combinations of these games. Hence, the understanding of the Parrondo effect was expanded by demonstrating its existence for new combinations of history-dependent games.
| Original language | English (US) |
|---|---|
| Article number | 056128 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 67 |
| Issue number | 5 2 |
| State | Published - May 2003 |
| Externally published | Yes |
Fingerprint
ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
Winning combinations of history-dependent games. / Kay, Roland J.; Johnson, Neil F.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 67, No. 5 2, 056128, 05.2003.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Winning combinations of history-dependent games
AU - Kay, Roland J.
AU - Johnson, Neil F
PY - 2003/5
Y1 - 2003/5
N2 - A study was performed to demonstrate that the apparently paradoxical effect of two losing games combining to produce a winning game also applies to combinations of two history-dependent games. Expressions were derived for the regions of the parameter space in which the effect is observed for both random and periodic combinations of these games. Hence, the understanding of the Parrondo effect was expanded by demonstrating its existence for new combinations of history-dependent games.
AB - A study was performed to demonstrate that the apparently paradoxical effect of two losing games combining to produce a winning game also applies to combinations of two history-dependent games. Expressions were derived for the regions of the parameter space in which the effect is observed for both random and periodic combinations of these games. Hence, the understanding of the Parrondo effect was expanded by demonstrating its existence for new combinations of history-dependent games.
UR - http://www.scopus.com/inward/record.url?scp=37649028601&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=37649028601&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:37649028601
VL - 67
JO - Physical review. E
JF - Physical review. E
SN - 2470-0045
IS - 5 2
M1 - 056128
ER -