2003/07/09 by Zoran Mihailovic, Milan Rajkovic
Physics and Astronomy · #cond-mat.stat-mech
published as Fluct. Noise. Lett. 3 (2003) L399-L406 · 6 pages, 4 figures, submitted to Fluctuations and Noise Letters
arxiv created 2003/07/09 · arxiv updated 2009/12/01
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.