Phys. Rev. Lett. 85, 5226 - 5229 (2000)

New Paradoxical Games Based on Brownian Ratchets

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Juan M. R. Parrondo1, Gregory P. Harmer2, and Derek Abbott2
1Departamento Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, 28040-Madrid, Spain
2Centre for Biomedical Engineering (CBME) and Department of Electrical & Electronic Engineering, University of Adelaide, SA 5005, Australia

Received 23 March 2000; revised 7 August 2000

Based on Brownian ratchets, a counterintuitive phenomenon has recently emerged—namely, that two losing games can yield, when combined, a paradoxical tendency to win. A restriction of this phenomenon is that the rules depend on the current capital of the player. Here we present new games where all the rules depend only on the history of the game and not on the capital. This new history-dependent structure significantly increases the parameter space for which the effect operates.


©2000 The American Physical Society

URL: http://link.aps.org/abstract/PRL/v85/p5226
DOI: 10.1103/PhysRevLett.85.5226
PACS: 02.50.Le, 05.40.Jc

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