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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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cleurenPHYA2006.pdf | Published version | 539.96 kB | Adobe PDF | View/Open |
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