Synchronous Cooperative Parrondo's Games

Details Synchronous Cooperative Parrondo's Games Synchronous Cooperative Parrondo's Games

2003-07-09

arxiv.org/abs/cond-mat/0307212v1

Fluct. Noise. Lett. 3 (2003) L399-L406

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, submitted to Fluctuations and Noise Letters

Scientific paper

Inspired by asynchronous cooperative Parrondo's games we introduce two new types of games in which all players simultaneously play game A or game B or a combination of these two games. These two types of games differ in the way a combination of games A and B is played. In the first type of synchronous games, all players simultaneously play the same game (either A or B), while in the second type players simultaneously play the game of their choice, i.e. A or B. We show that for these games, as in the case of asynchronous games, occurrence of the paradox depends on the number of players. An analytical result and an algorithm are derived for the probability distribution of these games.

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