Reversals of chance in paradoxical games

P. Amengual, P. Meurs, B. Cleuren and R. Toral

Physica A: Statistical Mechanics and its Applications, 2006, vol. 371, issue 2, 641-648

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 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:371:y:2006:i:2:p:641-648

DOI: 10.1016/j.physa.2006.03.038

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