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Reversals of chance in paradoxical games

AutorAmengual, Pau; Meurs, Pascal; Cleuren, Bart; Toral, Raúl
Palabras claveMarkov chain theory
Parrondo's paradox
Brownian ratchet
Fecha de publicación24-abr-2006
CitaciónPhysica A 371, 641-648 (2006)
ResumenWe 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.
Descripción8 pages.-- Final full-text version of the paper available at: http://dx.doi.org/10.1016/j.physa.2006.03.038.
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