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http://hdl.handle.net/1942/7512| Title: | Parrondo games with strategy | Authors: | VAN DEN BROECK, Christian CLEUREN, Bart |
Issue Date: | 2004 | Publisher: | SPIE-INT SOCIETY OPTICAL ENGINEERING | Source: | Gingl, Z & Sancho, JM & Schimansky Geier, L & Kertesz, J (Ed.) NOISE IN COMPLEX SYSTEMS AND STOCHASTIC DYNAMICS II. p. 109-118. | Series/Report: | PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE) | Series/Report no.: | 5471 | Abstract: | The notion of a strategy in the multi-player version of the Parrondo game is reviewed. We calculate the gain for the greedy strategy as a function of the number N of players, including exact analytic results for N < 4 and in the limit N --> infinity. We show that the greedy strategy is optimal for N = 1 and N = 2 but, not for N = 3. In the limit N --> infinity our analysis reveals a very rich behavior including the possibility of phase transitions as a function of the chosen strategy. | Document URI: | http://hdl.handle.net/1942/7512 | ISBN: | 0-8194-5393-5 | ISI #: | 000223226600014 | Category: | C1 | Type: | Proceedings Paper | Validations: | ecoom 2005 |
| Appears in Collections: | Research publications |
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