Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/1387
Title: Reversals of chance in paradoxical games
Authors: AMENGUAL, Pau 
MEURS, Pascal 
CLEUREN, Bart 
Toral, R.
Issue Date: 2006
Publisher: Elsevier
Source: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 371(2). p. 614-648
Abstract: We present two collective games with new paradoxical features when they are combined. Besides reproducing the so-called Parrondo effect, where a winning game is obtained from the alternation of two fair games, there also exists a current inversion when varying the mixing probability between the games. We show that this is a new effect insofar one of the games is an unbiased random walk without internal structure. We present a detailed study by means of a discrete-time Markov chain analysis, obtaining analytical expressions for the stationary probabilities for a finite number of players. We also provide qualitative insight into this current inversion effect
Keywords: Markov chain theory; Parrondo's paradox; Brownian ratchet; PARRONDOS PARADOX; RATCHET
Document URI: http://hdl.handle.net/1942/1387
ISSN: 0378-4371
e-ISSN: 1873-2119
DOI: 10.1016/j.physa.2006.03.038
ISI #: 000241200000043
Category: A1
Type: Journal Contribution
Validations: ecoom 2007
Appears in Collections:Research publications

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