Reversals of chance in paradoxical games

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Nov 2006Embargo end date: 01 Jan 2006 Belgium English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 371, pages 641-648 (issn: 0378-4371,

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Authors: AMENGUAL, Pau; MEURS, Pascal; CLEUREN, Bart; Toral, R.;

doi: 10.1016/j.physa.2006.03.038 , 10.48550/arxiv.math/0601404

arXiv: math/0601404

handle: 10261/6140 , 1942/1387

Reversals of chance in paradoxical games

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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, a new effect appears, i.e., there exists a current inversion when varying the mixing probability between the games. 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 some qualitatively insight into this new current inversion effect.

11 pages, 9 figures

Country

Belgium

Related Organizations

Hasselt University
Belgium
University of the Balearic Islands
Spain

Keywords

Markov chain theory, Statistical Mechanics (cond-mat.stat-mech), Probability (math.PR), FOS: Mathematics, Parrondo's paradox, Brownian ratchet, FOS: Physical sciences, Markov chain theory; Parrondo's paradox; Brownian ratchet; PARRONDOS PARADOX; RATCHET, Mathematics - Probability, Condensed Matter - Statistical Mechanics

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